Merge pull request 'Garage v0.8.5' (#687 ) from rel-0.8.5 into main-0.8.x

Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/687
Bump version to 0.8.5
2026-08-14 08:03:11 +00:00 · 2024-01-16 10:30:54 +00:00 · 2024-01-16 10:47:33 +01:00 · 2024-01-15 16:44:58 +00:00 · 2024-01-15 16:41:50 +00:00 · 2024-01-15 17:33:35 +01:00
111 changed files with 20633 additions and 418 deletions
@@ -1198,7 +1198,7 @@ dependencies = [

 [[package]]
 name = "garage"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "assert-json-diff",
 "async-trait",
@@ -1227,6 +1227,7 @@ dependencies = [
 "hyper",
 "k2v-client",
 "kuska-sodiumoxide",
+ "mktemp",
 "netapp",
 "opentelemetry",
 "opentelemetry-otlp",
@@ -1249,7 +1250,7 @@ dependencies = [

 [[package]]
 name = "garage_api"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "async-trait",
 "base64 0.21.3",
@@ -1271,6 +1272,7 @@ dependencies = [
 "http-range",
 "httpdate",
 "hyper",
+ "hyperlocal",
 "idna",
 "md-5",
 "multer",
@@ -1294,7 +1296,7 @@ dependencies = [

 [[package]]
 name = "garage_block"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "arc-swap",
 "async-compression",
@@ -1319,7 +1321,7 @@ dependencies = [

 [[package]]
 name = "garage_db"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "clap 4.4.0",
 "err-derive",
@@ -1334,7 +1336,7 @@ dependencies = [

 [[package]]
 name = "garage_model"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "arc-swap",
 "async-trait",
@@ -1361,7 +1363,7 @@ dependencies = [

 [[package]]
 name = "garage_rpc"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "arc-swap",
 "async-trait",
@@ -1377,6 +1379,7 @@ dependencies = [
 "kube",
 "kuska-sodiumoxide",
 "netapp",
+ "nix",
 "opentelemetry",
 "pnet_datalink",
 "rand",
@@ -1385,7 +1388,6 @@ dependencies = [
 "serde",
 "serde_bytes",
 "serde_json",
- "systemstat",
 "tokio",
 "tokio-stream",
 "tracing",
@@ -1393,7 +1395,7 @@ dependencies = [

 [[package]]
 name = "garage_table"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "arc-swap",
 "async-trait",
@@ -1415,12 +1417,13 @@ dependencies = [

 [[package]]
 name = "garage_util"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "arc-swap",
 "async-trait",
 "blake2",
 "bytes",
+ "bytesize",
 "chrono",
 "digest",
 "err-derive",
@@ -1448,7 +1451,7 @@ dependencies = [

 [[package]]
 name = "garage_web"
-version = "0.8.4"
+version = "0.8.5"
 dependencies = [
 "err-derive",
 "futures",
@@ -1458,8 +1461,10 @@ dependencies = [
 "garage_util",
 "http",
 "hyper",
+ "hyperlocal",
 "opentelemetry",
 "percent-encoding",
+ "tokio",
 "tracing",
 ]

@@ -1769,6 +1774,19 @@ dependencies = [
 "tokio-io-timeout",
 ]

+[[package]]
+name = "hyperlocal"
+version = "0.8.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0fafdf7b2b2de7c9784f76e02c0935e65a8117ec3b768644379983ab333ac98c"
+dependencies = [
+ "futures-util",
+ "hex",
+ "hyper",
+ "pin-project",
+ "tokio",
+]
+
 [[package]]
 name = "iana-time-zone"
 version = "0.1.57"
@@ -2291,6 +2309,17 @@ dependencies = [
 "tokio-util 0.7.8",
 ]

+[[package]]
+name = "nix"
+version = "0.27.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "2eb04e9c688eff1c89d72b407f168cf79bb9e867a9d3323ed6c01519eb9cc053"
+dependencies = [
+ "bitflags 2.4.0",
+ "cfg-if",
+ "libc",
+]
+
 [[package]]
 name = "no-std-net"
 version = "0.6.0"
@@ -3533,20 +3562,6 @@ dependencies = [
 "unicode-xid",
 ]

-[[package]]
-name = "systemstat"
-version = "0.2.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "a24aec24a9312c83999a28e3ef9db7e2afd5c64bf47725b758cdc1cafd5b0bd2"
-dependencies = [
- "bytesize",
- "lazy_static",
- "libc",
- "nom",
- "time 0.3.28",
- "winapi",
-]
-
 [[package]]
 name = "tempfile"
 version = "3.8.0"
@@ -33,7 +33,7 @@ args@{
  ignoreLockHash,
 }:
 let
-  nixifiedLockHash = "b958f9aca0ee3fb1f7b52b15508132d0a96480a7f43f83e0da6609c0fe1812ef";
+  nixifiedLockHash = "79d4a9e02f28a0c0f31576781738e132ac96ff4944b3bc2ca7375c6dd15b83ce";
  workspaceSrc = if args.workspaceSrc == null then ./. else args.workspaceSrc;
  currentLockHash = builtins.hashFile "sha256" (workspaceSrc + /Cargo.lock);
  lockHashIgnored = if ignoreLockHash
@@ -57,15 +57,15 @@ in
 {
  cargo2nixVersion = "0.11.0";
  workspace = {
-    garage_db = rustPackages.unknown.garage_db."0.8.4";
-    garage_util = rustPackages.unknown.garage_util."0.8.4";
-    garage_rpc = rustPackages.unknown.garage_rpc."0.8.4";
-    garage_table = rustPackages.unknown.garage_table."0.8.4";
-    garage_block = rustPackages.unknown.garage_block."0.8.4";
-    garage_model = rustPackages.unknown.garage_model."0.8.4";
-    garage_api = rustPackages.unknown.garage_api."0.8.4";
-    garage_web = rustPackages.unknown.garage_web."0.8.4";
-    garage = rustPackages.unknown.garage."0.8.4";
+    garage_db = rustPackages.unknown.garage_db."0.8.5";
+    garage_util = rustPackages.unknown.garage_util."0.8.5";
+    garage_rpc = rustPackages.unknown.garage_rpc."0.8.5";
+    garage_table = rustPackages.unknown.garage_table."0.8.5";
+    garage_block = rustPackages.unknown.garage_block."0.8.5";
+    garage_model = rustPackages.unknown.garage_model."0.8.5";
+    garage_api = rustPackages.unknown.garage_api."0.8.5";
+    garage_web = rustPackages.unknown.garage_web."0.8.5";
+    garage = rustPackages.unknown.garage."0.8.5";
    format_table = rustPackages.unknown.format_table."0.1.1";
    k2v-client = rustPackages.unknown.k2v-client."0.0.4";
  };
@@ -1705,9 +1705,9 @@ in
    };
  });
  
-  "unknown".garage."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/garage");
    features = builtins.concatLists [
@@ -1734,14 +1734,14 @@ in
      format_table = (rustPackages."unknown".format_table."0.1.1" { inherit profileName; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_api = (rustPackages."unknown".garage_api."0.8.4" { inherit profileName; }).out;
-      garage_block = (rustPackages."unknown".garage_block."0.8.4" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
-      garage_model = (rustPackages."unknown".garage_model."0.8.4" { inherit profileName; }).out;
-      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.4" { inherit profileName; }).out;
-      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
-      garage_web = (rustPackages."unknown".garage_web."0.8.4" { inherit profileName; }).out;
+      garage_api = (rustPackages."unknown".garage_api."0.8.5" { inherit profileName; }).out;
+      garage_block = (rustPackages."unknown".garage_block."0.8.5" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
+      garage_model = (rustPackages."unknown".garage_model."0.8.5" { inherit profileName; }).out;
+      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.5" { inherit profileName; }).out;
+      garage_table = (rustPackages."unknown".garage_table."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
+      garage_web = (rustPackages."unknown".garage_web."0.8.5" { inherit profileName; }).out;
      git_version = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".git-version."0.3.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      sodiumoxide = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".kuska-sodiumoxide."0.2.5-0" { inherit profileName; }).out;
@@ -1771,15 +1771,16 @@ in
      http = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".http."0.2.9" { inherit profileName; }).out;
      hyper = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyper."0.14.27" { inherit profileName; }).out;
      k2v_client = (rustPackages."unknown".k2v-client."0.0.4" { inherit profileName; }).out;
+      mktemp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".mktemp."0.5.0" { inherit profileName; }).out;
      serde_json = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde_json."1.0.105" { inherit profileName; }).out;
      sha2 = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".sha2."0.10.7" { inherit profileName; }).out;
      static_init = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".static_init."1.0.3" { inherit profileName; }).out;
    };
  });
  
-  "unknown".garage_api."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_api."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_api";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/api");
    features = builtins.concatLists [
@@ -1798,17 +1799,18 @@ in
      form_urlencoded = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".form_urlencoded."1.2.0" { inherit profileName; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_block = (rustPackages."unknown".garage_block."0.8.4" { inherit profileName; }).out;
-      garage_model = (rustPackages."unknown".garage_model."0.8.4" { inherit profileName; }).out;
-      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.4" { inherit profileName; }).out;
-      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_block = (rustPackages."unknown".garage_block."0.8.5" { inherit profileName; }).out;
+      garage_model = (rustPackages."unknown".garage_model."0.8.5" { inherit profileName; }).out;
+      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.5" { inherit profileName; }).out;
+      garage_table = (rustPackages."unknown".garage_table."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      hmac = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hmac."0.12.1" { inherit profileName; }).out;
      http = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".http."0.2.9" { inherit profileName; }).out;
      http_range = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".http-range."0.1.5" { inherit profileName; }).out;
      httpdate = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".httpdate."1.0.3" { inherit profileName; }).out;
      hyper = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyper."0.14.27" { inherit profileName; }).out;
+      hyperlocal = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyperlocal."0.8.0" { inherit profileName; }).out;
      idna = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".idna."0.4.0" { inherit profileName; }).out;
      md5 = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".md-5."0.10.5" { inherit profileName; }).out;
      multer = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".multer."2.1.0" { inherit profileName; }).out;
@@ -1831,9 +1833,9 @@ in
    };
  });
  
-  "unknown".garage_block."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_block."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_block";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/block");
    features = builtins.concatLists [
@@ -1846,10 +1848,10 @@ in
      bytes = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bytes."1.4.0" { inherit profileName; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
-      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.4" { inherit profileName; }).out;
-      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
+      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.5" { inherit profileName; }).out;
+      garage_table = (rustPackages."unknown".garage_table."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
      rand = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rand."0.8.5" { inherit profileName; }).out;
@@ -1862,9 +1864,9 @@ in
    };
  });
  
-  "unknown".garage_db."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_db."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_db";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/db");
    features = builtins.concatLists [
@@ -1894,9 +1896,9 @@ in
    };
  });
  
-  "unknown".garage_model."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_model."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_model";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/model");
    features = builtins.concatLists [
@@ -1914,11 +1916,11 @@ in
      err_derive = (buildRustPackages."registry+https://github.com/rust-lang/crates.io-index".err-derive."0.3.1" { profileName = "__noProfile"; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_block = (rustPackages."unknown".garage_block."0.8.4" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
-      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.4" { inherit profileName; }).out;
-      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_block = (rustPackages."unknown".garage_block."0.8.5" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
+      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.5" { inherit profileName; }).out;
+      garage_table = (rustPackages."unknown".garage_table."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.5.2" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
@@ -1931,9 +1933,9 @@ in
    };
  });
  
-  "unknown".garage_rpc."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_rpc."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_rpc";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/rpc");
    features = builtins.concatLists [
@@ -1953,14 +1955,15 @@ in
      ${ if rootFeatures' ? "garage/consul-discovery" || rootFeatures' ? "garage_rpc/consul-discovery" || rootFeatures' ? "garage_rpc/err-derive" then "err_derive" else null } = (buildRustPackages."registry+https://github.com/rust-lang/crates.io-index".err-derive."0.3.1" { profileName = "__noProfile"; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      gethostname = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".gethostname."0.4.3" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      ${ if rootFeatures' ? "garage/kubernetes-discovery" || rootFeatures' ? "garage_rpc/k8s-openapi" || rootFeatures' ? "garage_rpc/kubernetes-discovery" then "k8s_openapi" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".k8s-openapi."0.16.0" { inherit profileName; }).out;
      ${ if rootFeatures' ? "garage/kubernetes-discovery" || rootFeatures' ? "garage_rpc/kube" || rootFeatures' ? "garage_rpc/kubernetes-discovery" then "kube" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".kube."0.75.0" { inherit profileName; }).out;
      sodiumoxide = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".kuska-sodiumoxide."0.2.5-0" { inherit profileName; }).out;
      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.5.2" { inherit profileName; }).out;
+      nix = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".nix."0.27.1" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
      pnet_datalink = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".pnet_datalink."0.33.0" { inherit profileName; }).out;
      rand = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rand."0.8.5" { inherit profileName; }).out;
@@ -1969,16 +1972,15 @@ in
      serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde."1.0.188" { inherit profileName; }).out;
      serde_bytes = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde_bytes."0.11.12" { inherit profileName; }).out;
      serde_json = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde_json."1.0.105" { inherit profileName; }).out;
-      systemstat = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".systemstat."0.2.3" { inherit profileName; }).out;
      tokio = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tokio."1.32.0" { inherit profileName; }).out;
      tokio_stream = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tokio-stream."0.1.14" { inherit profileName; }).out;
      tracing = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tracing."0.1.37" { inherit profileName; }).out;
    };
  });
  
-  "unknown".garage_table."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_table."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_table";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/table");
    dependencies = {
@@ -1987,9 +1989,9 @@ in
      bytes = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bytes."1.4.0" { inherit profileName; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
-      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
+      garage_rpc = (rustPackages."unknown".garage_rpc."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      hexdump = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hexdump."0.1.1" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
@@ -2001,9 +2003,9 @@ in
    };
  });
  
-  "unknown".garage_util."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_util."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_util";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/util");
    features = builtins.concatLists [
@@ -2014,11 +2016,12 @@ in
      async_trait = (buildRustPackages."registry+https://github.com/rust-lang/crates.io-index".async-trait."0.1.73" { profileName = "__noProfile"; }).out;
      blake2 = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".blake2."0.10.6" { inherit profileName; }).out;
      bytes = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bytes."1.4.0" { inherit profileName; }).out;
+      bytesize = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bytesize."1.3.0" { inherit profileName; }).out;
      chrono = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".chrono."0.4.26" { inherit profileName; }).out;
      digest = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".digest."0.10.7" { inherit profileName; }).out;
      err_derive = (buildRustPackages."registry+https://github.com/rust-lang/crates.io-index".err-derive."0.3.1" { profileName = "__noProfile"; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
-      garage_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
+      garage_db = (rustPackages."unknown".garage_db."0.8.5" { inherit profileName; }).out;
      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
      hexdump = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hexdump."0.1.1" { inherit profileName; }).out;
      http = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".http."0.2.9" { inherit profileName; }).out;
@@ -2044,22 +2047,24 @@ in
    };
  });
  
-  "unknown".garage_web."0.8.4" = overridableMkRustCrate (profileName: rec {
+  "unknown".garage_web."0.8.5" = overridableMkRustCrate (profileName: rec {
    name = "garage_web";
-    version = "0.8.4";
+    version = "0.8.5";
    registry = "unknown";
    src = fetchCrateLocal (workspaceSrc + "/src/web");
    dependencies = {
      err_derive = (buildRustPackages."registry+https://github.com/rust-lang/crates.io-index".err-derive."0.3.1" { profileName = "__noProfile"; }).out;
      futures = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures."0.3.28" { inherit profileName; }).out;
-      garage_api = (rustPackages."unknown".garage_api."0.8.4" { inherit profileName; }).out;
-      garage_model = (rustPackages."unknown".garage_model."0.8.4" { inherit profileName; }).out;
-      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
-      garage_util = (rustPackages."unknown".garage_util."0.8.4" { inherit profileName; }).out;
+      garage_api = (rustPackages."unknown".garage_api."0.8.5" { inherit profileName; }).out;
+      garage_model = (rustPackages."unknown".garage_model."0.8.5" { inherit profileName; }).out;
+      garage_table = (rustPackages."unknown".garage_table."0.8.5" { inherit profileName; }).out;
+      garage_util = (rustPackages."unknown".garage_util."0.8.5" { inherit profileName; }).out;
      http = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".http."0.2.9" { inherit profileName; }).out;
      hyper = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyper."0.14.27" { inherit profileName; }).out;
+      hyperlocal = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyperlocal."0.8.0" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
      percent_encoding = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".percent-encoding."2.3.0" { inherit profileName; }).out;
+      tokio = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tokio."1.32.0" { inherit profileName; }).out;
      tracing = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tracing."0.1.37" { inherit profileName; }).out;
    };
  });
@@ -2485,6 +2490,23 @@ in
    };
  });
  
+  "registry+https://github.com/rust-lang/crates.io-index".hyperlocal."0.8.0" = overridableMkRustCrate (profileName: rec {
+    name = "hyperlocal";
+    version = "0.8.0";
+    registry = "registry+https://github.com/rust-lang/crates.io-index";
+    src = fetchCratesIo { inherit name version; sha256 = "0fafdf7b2b2de7c9784f76e02c0935e65a8117ec3b768644379983ab333ac98c"; };
+    features = builtins.concatLists [
+      [ "server" ]
+    ];
+    dependencies = {
+      futures_util = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".futures-util."0.3.28" { inherit profileName; }).out;
+      hex = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hex."0.4.3" { inherit profileName; }).out;
+      hyper = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".hyper."0.14.27" { inherit profileName; }).out;
+      pin_project = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".pin-project."1.1.3" { inherit profileName; }).out;
+      tokio = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".tokio."1.32.0" { inherit profileName; }).out;
+    };
+  });
+  
  "registry+https://github.com/rust-lang/crates.io-index".iana-time-zone."0.1.57" = overridableMkRustCrate (profileName: rec {
    name = "iana-time-zone";
    version = "0.1.57";
@@ -2955,7 +2977,7 @@ in
    src = fetchCratesIo { inherit name version; sha256 = "b4668fb0ea861c1df094127ac5f1da3409a82116a4ba74fca2e58ef927159bb3"; };
    features = builtins.concatLists [
      [ "default" ]
-      (lib.optional (rootFeatures' ? "garage/opentelemetry-otlp" || rootFeatures' ? "garage/telemetry-otlp" || rootFeatures' ? "garage_db/cli" || rootFeatures' ? "garage_db/pretty_env_logger") "extra_traits")
+      [ "extra_traits" ]
      [ "std" ]
    ];
  });
@@ -3231,6 +3253,21 @@ in
    };
  });
  
+  "registry+https://github.com/rust-lang/crates.io-index".nix."0.27.1" = overridableMkRustCrate (profileName: rec {
+    name = "nix";
+    version = "0.27.1";
+    registry = "registry+https://github.com/rust-lang/crates.io-index";
+    src = fetchCratesIo { inherit name version; sha256 = "2eb04e9c688eff1c89d72b407f168cf79bb9e867a9d3323ed6c01519eb9cc053"; };
+    features = builtins.concatLists [
+      [ "fs" ]
+    ];
+    dependencies = {
+      bitflags = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bitflags."2.4.0" { inherit profileName; }).out;
+      cfg_if = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".cfg-if."1.0.0" { inherit profileName; }).out;
+      libc = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".libc."0.2.147" { inherit profileName; }).out;
+    };
+  });
+  
  "registry+https://github.com/rust-lang/crates.io-index".no-std-net."0.6.0" = overridableMkRustCrate (profileName: rec {
    name = "no-std-net";
    version = "0.6.0";
@@ -5000,21 +5037,6 @@ in
    };
  });
  
-  "registry+https://github.com/rust-lang/crates.io-index".systemstat."0.2.3" = overridableMkRustCrate (profileName: rec {
-    name = "systemstat";
-    version = "0.2.3";
-    registry = "registry+https://github.com/rust-lang/crates.io-index";
-    src = fetchCratesIo { inherit name version; sha256 = "a24aec24a9312c83999a28e3ef9db7e2afd5c64bf47725b758cdc1cafd5b0bd2"; };
-    dependencies = {
-      bytesize = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".bytesize."1.3.0" { inherit profileName; }).out;
-      lazy_static = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".lazy_static."1.4.0" { inherit profileName; }).out;
-      libc = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".libc."0.2.147" { inherit profileName; }).out;
-      ${ if hostPlatform.parsed.kernel.name == "linux" || hostPlatform.parsed.kernel.name == "android" then "nom" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".nom."7.1.3" { inherit profileName; }).out;
-      time = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".time."0.3.28" { inherit profileName; }).out;
-      ${ if hostPlatform.isWindows then "winapi" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".winapi."0.3.9" { inherit profileName; }).out;
-    };
-  });
-  
  "registry+https://github.com/rust-lang/crates.io-index".tempfile."3.8.0" = overridableMkRustCrate (profileName: rec {
    name = "tempfile";
    version = "3.8.0";
@@ -6034,7 +6056,6 @@ in
      [ "ntsecapi" ]
      [ "ntstatus" ]
      (lib.optional (rootFeatures' ? "garage/kubernetes-discovery" || rootFeatures' ? "garage_rpc/kube" || rootFeatures' ? "garage_rpc/kubernetes-discovery") "objbase")
-      [ "pdh" ]
      [ "processenv" ]
      (lib.optional (rootFeatures' ? "garage/default" || rootFeatures' ? "garage/sled" || rootFeatures' ? "garage_db/default" || rootFeatures' ? "garage_db/sled" || rootFeatures' ? "garage_model/default" || rootFeatures' ? "garage_model/sled") "processthreadsapi")
      [ "profileapi" ]
@@ -6048,7 +6069,6 @@ in
      [ "winerror" ]
      [ "winnt" ]
      [ "winsock2" ]
-      [ "ws2def" ]
      [ "ws2ipdef" ]
      [ "ws2tcpip" ]
      [ "wtypesbase" ]
@@ -18,14 +18,14 @@ default-members = ["src/garage"]

 [workspace.dependencies]
 format_table = { version = "0.1.1", path = "src/format-table" }
-garage_api = { version = "0.8.4", path = "src/api" }
-garage_block = { version = "0.8.4", path = "src/block" }
-garage_db = { version = "0.8.4", path = "src/db", default-features = false }
-garage_model = { version = "0.8.4", path = "src/model", default-features = false }
-garage_rpc = { version = "0.8.4", path = "src/rpc" }
-garage_table = { version = "0.8.4", path = "src/table" }
-garage_util = { version = "0.8.4", path = "src/util" }
-garage_web = { version = "0.8.4", path = "src/web" }
+garage_api = { version = "0.8.5", path = "src/api" }
+garage_block = { version = "0.8.5", path = "src/block" }
+garage_db = { version = "0.8.5", path = "src/db", default-features = false }
+garage_model = { version = "0.8.5", path = "src/model", default-features = false }
+garage_rpc = { version = "0.8.5", path = "src/rpc" }
+garage_table = { version = "0.8.5", path = "src/table" }
+garage_util = { version = "0.8.5", path = "src/util" }
+garage_web = { version = "0.8.5", path = "src/web" }
 k2v-client = { version = "0.0.4", path = "src/k2v-client" }

 [profile.dev]
@@ -421,7 +421,7 @@ Now we can write a simple script (eg `~/.local/bin/matrix-cache-gc`):
 ## CONFIGURATION ##
 AWS_ACCESS_KEY_ID=GKxxx
 AWS_SECRET_ACCESS_KEY=xxxx
-S3_ENDPOINT=http://localhost:3900
+AWS_ENDPOINT_URL=http://localhost:3900
 S3_BUCKET=matrix
 MEDIA_STORE=/var/lib/matrix-synapse/media
 PG_USER=matrix
@@ -442,7 +442,7 @@ EOF

 s3_media_upload update-db 1d
 s3_media_upload --no-progress check-deleted $MEDIA_STORE
-s3_media_upload --no-progress upload $MEDIA_STORE $S3_BUCKET --delete --endpoint-url $S3_ENDPOINT
+s3_media_upload --no-progress upload $MEDIA_STORE $S3_BUCKET --delete --endpoint-url $AWS_ENDPOINT_URL
 ```

 This script will list all the medias that were not accessed in the 24 hours according to your database.
@@ -70,16 +70,17 @@ Then a file named `~/.aws/config` and put:
 ```toml
 [default]
 region=garage
+endpoint_url=http://127.0.0.1:3900
 ```

 Now, supposing Garage is listening on `http://127.0.0.1:3900`, you can list your buckets with:

 ```bash
-aws --endpoint-url http://127.0.0.1:3900 s3 ls
+aws s3 ls
 ```

-Passing the `--endpoint-url` parameter to each command is annoying but AWS developers do not provide a corresponding configuration entry.
-As a workaround, you can redefine the aws command by editing the file `~/.bashrc`:
+If you're using awscli `<1.29.0` or `<2.13.0`, you need to pass `--endpoint-url` to each CLI invocation explicitly.
+As a workaround, you can redefine the aws command by editing the file `~/.bashrc` in this case:

 ```
 function aws { command aws --endpoint-url http://127.0.0.1:3900 $@ ; }
@@ -269,12 +269,14 @@ named `~/.awsrc` with this content:
 export AWS_ACCESS_KEY_ID=xxxx      # put your Key ID here
 export AWS_SECRET_ACCESS_KEY=xxxx  # put your Secret key here
 export AWS_DEFAULT_REGION='garage'
-export AWS_ENDPOINT='http://localhost:3900'
+export AWS_ENDPOINT_URL='http://localhost:3900'

-function aws { command aws --endpoint-url $AWS_ENDPOINT $@ ; }
 aws --version
 ```

+Note you need to have at least `awscli` `>=1.29.0` or `>=2.13.0`, otherwise you
+need to specify `--endpoint-url` explicitly on each `awscli` invocation.
+
 Now, each time you want to use `awscli` on this target, run:

 ```bash
@@ -15,8 +15,9 @@ db_engine = "lmdb"

 block_size = 1048576

-sled_cache_capacity = 134217728
+sled_cache_capacity = "128MiB"
 sled_flush_every_ms = 2000
+lmdb_map_size = "1T"

 replication_mode = "3"

@@ -133,8 +134,8 @@ and not just the path to the metadata directory.
 ### `block_size`

 Garage splits stored objects in consecutive chunks of size `block_size`
-(except the last one which might be smaller). The default size is 1MB and
-should work in most cases. We recommend increasing it to e.g. 10MB if
+(except the last one which might be smaller). The default size is 1MiB and
+should work in most cases. We recommend increasing it to e.g. 10MiB if
 you are using Garage to store large files and have fast network connections
 between all nodes (e.g. 1gbps).

@@ -160,6 +161,14 @@ Increase this if sled is thrashing your SSD, at the risk of losing more data in
 of a power outage (though this should not matter much as data is replicated on other
 nodes). The default value, 2000ms, should be appropriate for most use cases.

+### `lmdb_map_size`
+
+This parameters can be used to set the map size used by LMDB,
+which is the size of the virtual memory region used for mapping the database file.
+The value of this parameter is the maximum size the metadata database can take.
+This value is not bound by the physical RAM size of the machine running Garage.
+If not specified, it defaults to 1GiB on 32-bit machines and 1TiB on 64-bit machines.
+
 ### `replication_mode`

 Garage supports the following replication modes:
@@ -267,7 +276,7 @@ Compression is done synchronously, setting a value too high will add latency to
 This value can be different between nodes, compression is done by the node which receive the
 API call.

-### `rpc_secret`, `rpc_secret_file` or `GARAGE_RPC_SECRET` (env)
+### `rpc_secret`, `rpc_secret_file` or `GARAGE_RPC_SECRET`, `GARAGE_RPC_SECRET_FILE` (env)

 Garage uses a secret key, called an RPC secret, that is shared between all
 nodes of the cluster in order to identify these nodes and allow them to
@@ -279,6 +288,9 @@ Since Garage `v0.8.2`, the RPC secret can also be stored in a file whose path is
 given in the configuration variable `rpc_secret_file`, or specified as an
 environment variable `GARAGE_RPC_SECRET`.

+Since Garage `v0.9.0`, you can also specify the path of a file storing the secret
+as the `GARAGE_RPC_SECRET_FILE` environment variable.
+
 ### `rpc_bind_addr`

 The address and port on which to bind for inter-cluster communcations
@@ -311,6 +323,17 @@ be obtained by running `garage node id` and then included directly in the
 key will be returned by `garage node id` and you will have to add the IP
 yourself.

+### `allow_world_readable_secrets`
+
+Garage checks the permissions of your secret files to make sure they're not
+world-readable. In some cases, the check might fail and consider your files as
+world-readable even if they're not, for instance when using Posix ACLs.
+
+Setting `allow_world_readable_secrets` to `true` bypass this
+permission verification.
+
+Alternatively, you can set the `GARAGE_ALLOW_WORLD_READABLE_SECRETS`
+environment variable to `true` to bypass the permissions check.

 ## The `[consul_discovery]` section

@@ -401,6 +424,8 @@ manually.
 The IP and port on which to bind for accepting S3 API calls.
 This endpoint does not suport TLS: a reverse proxy should be used to provide it.

+Alternatively, since `v0.8.5`, a path can be used to create a unix socket with 0222 mode.
+
 ### `s3_region`

 Garage will accept S3 API calls that are targetted to the S3 region defined here.
@@ -430,6 +455,8 @@ The IP and port on which to bind for accepting HTTP requests to buckets configur
 for website access.
 This endpoint does not suport TLS: a reverse proxy should be used to provide it.

+Alternatively, since `v0.8.5`, a path can be used to create a unix socket with 0222 mode.
+
 ### `root_domain`

 The optional suffix appended to bucket names for the corresponding HTTP Host.
@@ -449,7 +476,10 @@ If specified, Garage will bind an HTTP server to this port and address, on
 which it will listen to requests for administration features.
 See [administration API reference](@/documentation/reference-manual/admin-api.md) to learn more about these features.

-### `metrics_token`, `metrics_token_file` or `GARAGE_METRICS_TOKEN` (env)
+Alternatively, since `v0.8.5`, a path can be used to create a unix socket. Note that for security reasons,
+the socket will have 0220 mode. Make sure to set user and group permissions accordingly.
+
+### `metrics_token`, `metrics_token_file` or `GARAGE_METRICS_TOKEN`, `GARAGE_METRICS_TOKEN_FILE` (env)

 The token for accessing the Metrics endpoint. If this token is not set, the
 Metrics endpoint can be accessed without access control.
@@ -459,8 +489,9 @@ You can use any random string for this value. We recommend generating a random t
 `metrics_token` was introduced in Garage `v0.7.2`.
 `metrics_token_file` and the `GARAGE_METRICS_TOKEN` environment variable are supported since Garage `v0.8.2`.

+`GARAGE_METRICS_TOKEN_FILE` is supported since `v0.9.0`.

-### `admin_token`, `admin_token_file` or `GARAGE_ADMIN_TOKEN` (env)
+### `admin_token`, `admin_token_file` or `GARAGE_ADMIN_TOKEN`, `GARAGE_ADMIN_TOKEN_FILE` (env)

 The token for accessing all of the other administration endpoints.  If this
 token is not set, access to these endpoints is disabled entirely.
@@ -470,6 +501,7 @@ You can use any random string for this value. We recommend generating a random t
 `admin_token` was introduced in Garage `v0.7.2`.
 `admin_token_file` and the `GARAGE_ADMIN_TOKEN` environment variable are supported since Garage `v0.8.2`.

+`GARAGE_ADMIN_TOKEN_FILE` is supported since `v0.9.0`.

 ### `trace_sink`

@@ -0,0 +1 @@
+.direnv/
@@ -0,0 +1,17 @@
+*
+
+!*.txt
+!*.md
+
+!assets
+
+!.gitignore
+!*.svg
+!*.png
+!*.jpg
+!*.tex
+!Makefile
+!.gitignore
+!assets/*.drawio.pdf
+
+!talk.pdf
@@ -0,0 +1,34 @@
+ASSETS=assets/consistent_hashing_1.pdf \
+	   assets/consistent_hashing_2.pdf \
+	   assets/consistent_hashing_3.pdf \
+	   assets/consistent_hashing_4.pdf \
+	   assets/garage_tables.pdf \
+	   assets/consensus.pdf_tex \
+	   assets/lattice1.pdf_tex \
+	   assets/lattice2.pdf_tex \
+	   assets/lattice3.pdf_tex \
+	   assets/lattice4.pdf_tex \
+	   assets/lattice5.pdf_tex \
+	   assets/lattice6.pdf_tex \
+	   assets/lattice7.pdf_tex \
+	   assets/lattice8.pdf_tex \
+	   assets/latticeB_1.pdf_tex \
+	   assets/latticeB_2.pdf_tex \
+	   assets/latticeB_3.pdf_tex \
+	   assets/latticeB_4.pdf_tex \
+	   assets/latticeB_5.pdf_tex \
+	   assets/latticeB_6.pdf_tex \
+	   assets/latticeB_7.pdf_tex \
+	   assets/latticeB_8.pdf_tex \
+	   assets/latticeB_9.pdf_tex \
+	   assets/latticeB_10.pdf_tex \
+	   assets/deuxfleurs.pdf
+
+talk.pdf: talk.tex $(ASSETS)
+	pdflatex talk.tex
+
+assets/%.pdf: assets/%.svg
+	inkscape -D -z --file=$^ --export-pdf=$@
+
+assets/%.pdf_tex: assets/%.svg
+	inkscape -D -z --file=$^ --export-pdf=$@ --export-latex
@@ -0,0 +1,39 @@
+### (fr) Garage, un système de stockage de données géo-distribué léger et robuste
+
+Garage est un système de stockage de données léger, géo-distribué, qui
+implémente le protocole de stockage S3 de Amazon. Garage est destiné
+principalement à l'auto-hébergement sur du matériel courant d'occasion. À ce
+titre, il doit tolérer un grand nombre de pannes: coupures de courant, coupures
+de connexion Internet, pannes de machines, ... Il doit également être facile à
+déployer et à maintenir, afin de pouvoir être facilement utilisé par des
+amateurs ou des petites organisations.
+
+Cette présentation vous proposera un aperçu de Garage et du choix technique
+principal qui rend un système comme Garage possible: le refus d'utiliser des
+algorithmes de consensus, remplacés avantageusement par des méthodes à
+cohérence faible.  Notre modèle est fortement inspiré de la base de donnée
+Dynamo (DeCandia et al, 2007), et fait usage des types de données CRDT (Shapiro
+et al, 2011).  Nous exploreront comment ces méthodes s'appliquent à la
+construction de l'abstraction "stockage objet" dans un système distribué, et
+quelles autres abstractions peuvent ou ne peuvent pas être construites dans ce
+modèle.
+
+### (en) Garage, a lightweight and robust geo-distributed data storage system
+
+Garage is a lightweight geo-distributed data store that implements the Amazon
+S3 object storage protocol.  Garage is meant primarily for self-hosting at home
+on second-hand commodity hardware, meaning it has to tolerate a wide variety of
+failure scenarios such as power cuts, Internet disconnections and machine
+crashes. It also has to be easy to deploy and maintain, so that hobbyists and
+small organizations can use it without trouble. 
+
+This talk will present Garage and the key technical choice that made Garage
+possible: refusing to use consensus algorithms and using instead weak
+consistency methods, with a model that is loosely based on that of the Dynamo
+database (DeCandia et al, 2007) and that makes heavy use of conflict-free
+replicated data types (Shapiro et al, 2011).  We will explore how these methods
+are suited to building the "object store" abstraction in a distributed system,
+and what other abstractions are possible or impossible to build in this model.
+
+
+
@@ -0,0 +1,137 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="800"
+   height="300"
+   viewBox="0 0 211.66666 79.374999"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="consensus.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="310.49139"
+     inkscape:cy="179.1688"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer1" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <g
+       id="g1218"
+       transform="translate(-8.9161476,-12.502301)">
+      <circle
+         style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
+         id="path111"
+         cx="38.904896"
+         cy="37.936272"
+         r="13.474442" />
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="38.879501"
+         y="40.908073"
+         id="text1105"><tspan
+           sodipodi:role="line"
+           id="tspan1103"
+           style="stroke-width:0.264583;fill:#000000"
+           x="38.879501"
+           y="40.908073">$\bot$</tspan></text>
+    </g>
+    <g
+       id="g1218-3"
+       transform="translate(127.41938,-12.502301)">
+      <circle
+         style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
+         id="path111-5"
+         cx="38.904896"
+         cy="37.936272"
+         r="13.474442" />
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="38.879501"
+         y="40.908073"
+         id="text1105-6"><tspan
+           sodipodi:role="line"
+           id="tspan1103-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="38.879501"
+           y="40.908073">$x$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 44.289635,25.433971 H 145.90576"
+       id="path1414"
+       sodipodi:nodetypes="cc" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="92.729836"
+       y="21.781803"
+       id="text2092"><tspan
+         sodipodi:role="line"
+         id="tspan2090"
+         style="stroke-width:0.264583;fill:#000000"
+         x="92.729836"
+         y="21.781803">$propose(x) / x$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="166.29887"
+       y="69.89299"
+       id="text2092-9"><tspan
+         sodipodi:role="line"
+         id="tspan2090-1"
+         style="stroke-width:0.264583;fill:#000000"
+         x="166.29887"
+         y="69.89299">$propose(y) / x$</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="m 155.82329,35.899857 c -8.35129,12.319651 0.54055,24.640898 11.72797,24.072085 8.65403,-0.440005 18.59818,-11.705963 11.8146,-20.570891"
+       id="path2150"
+       sodipodi:nodetypes="csc" />
+  </g>
+</svg>
@@ -0,0 +1,91 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+   viewBox="0 0 70.424515 70.300102"
+   version="1.1"
+   id="svg8"
+   sodipodi:docname="logo.svg"
+   inkscape:version="1.1 (c68e22c387, 2021-05-23)"
+   inkscape:export-filename="/home/quentin/Documents/dev/deuxfleurs/site/src/img/logo.png"
+   inkscape:export-xdpi="699.30194"
+   inkscape:export-ydpi="699.30194"
+   width="70.424515"
+   height="70.300102"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <defs
+     id="defs12" />
+  <sodipodi:namedview
+     id="namedview10"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     showgrid="false"
+     inkscape:zoom="12.125"
+     inkscape:cx="43.092783"
+     inkscape:cy="48.082474"
+     inkscape:window-width="3072"
+     inkscape:window-height="1659"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="svg8" />
+  <g
+     id="g79969"
+     transform="translate(-0.827,34.992103)">
+    <path
+       fill="#ffffff"
+       d="m 15.632,34.661 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 L 9.963,29.061 6.327,30.029 C 6.17,29.175 6.202,28.142 6.423,27.007 L 6.526,26.482 5.994,26.416 C 4.752,26.262 3.688,25.891 2.89,25.336 L 4.411,22.419 1.423,20.896 C 1.742,19.952 2.371,19.014 3.257,18.161 L 3.634,17.798 3.255,17.438 C 2.452,16.674 1.847,15.884 1.485,15.127 L 4.995,13.774 2.95,10.615 C 3.69,10.213 4.643,9.929 5.739,9.783 L 6.258,9.715 6.167,9.201 C 5.952,7.99 5.995,6.863 6.291,5.913 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 L 13.749,4.283 13.975,3.81 C 14.454,2.807 15.019,1.986 15.628,1.406 L 18,4.326 20.372,1.406 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 C 23.798,3.455 24.891,3.142 25.877,3.13 L 26.4,6.438 29.71,5.913 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.757 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 L 18,32.293 Z"
+       id="path2" />
+    <path
+       d="M 7.092,10.678 C 6.562,9.189 6.394,7.708 6.66,6.478 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 C 11.808,3.78 13.16,4.396 14.409,5.359 14.527,5.022 14.653,4.696 14.791,4.392 13.24,3.257 11.568,2.629 10.061,2.629 9.938,2.629 9.816,2.633 9.695,2.642 L 9.184,5.865 5.96,5.354 C 5.36,6.841 5.395,8.769 6.045,10.747 6.38,10.71 6.729,10.686 7.092,10.678 Z M 21.593,5.359 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 C 30.606,8.769 30.64,6.841 30.04,5.353 L 26.815,5.865 26.304,2.641 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z M 7.368,27 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 L 4.628,23.081 5.082,22.194 4.191,21.742 2.055,20.654 C 2.563,19.503 3.57,18.404 4.873,17.511 4.586,17.292 4.312,17.07 4.063,16.842 2.376,18.059 1.217,19.597 0.828,21.152 l 2.908,1.483 -1.482,2.843 C 3.475,26.501 5.303,27 7.368,27 Z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.517 -1.181,2.812 -2.119,3.651 L 18.707,32.293 18,31.586 l -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.652 -0.296,0.206 -0.593,0.397 -0.886,0.563 0.636,1.98 1.741,3.559 3.1,4.409 L 18,33 l 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.564 z"
+       fill="#ea596e"
+       id="path4" />
+    <path
+       fill="#ea596e"
+       d="m 20.118,5.683 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 L 23.709,25.853 23.527,29.21 C 22.508,28.533 21.395,27.55 20.329,26.237 L 18,23.374 15.672,26.236 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 L 12.889,19.658 9.447,18.33 C 7.87,17.721 6.591,16.967 5.633,16.208 L 8.768,15 6.941,12.177 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 L 18,8.292 20.118,5.683 M 20.308,0.692 18,3.533 15.692,0.692 C 13.703,2.224 12.271,5.684 12.046,9.804 10.429,9.374 8.854,9.167 7.414,9.167 c -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.516 l 3.537,-0.941 0.196,3.654 c 2.512,-0.07 5.703,-2.027 8.307,-5.228 2.603,3.201 5.796,5.158 8.306,5.228 l 0.198,-3.655 3.535,0.943 c 0.71,-2.411 -0.165,-6.05 -2.404,-9.517 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 C 23.729,5.684 22.297,2.224 20.308,0.692 Z"
+       id="path6" />
+  </g>
+  <g
+     id="g79964"
+     transform="translate(-1.043816,35.993714)">
+    <path
+       fill="#ffffff"
+       d="m 51.92633,-2.0247139 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 l -0.202,-3.7560001 -3.636,0.968 c -0.157,-0.854 -0.125,-1.887 0.096,-3.022 l 0.103,-0.525 -0.532,-0.066 c -1.242,-0.154 -2.306,-0.525 -3.104,-1.08 l 1.521,-2.917 -2.988,-1.523 c 0.319,-0.944 0.948,-1.882 1.834,-2.735 l 0.377,-0.363 -0.379,-0.36 c -0.803,-0.764 -1.408,-1.554 -1.77,-2.311 l 3.51,-1.353 -2.045,-3.159 c 0.74,-0.402 1.693,-0.686 2.789,-0.832 l 0.519,-0.068 -0.091,-0.514 c -0.215,-1.211 -0.172,-2.338 0.124,-3.288 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 l 0.462,0.248 0.226,-0.473 c 0.479,-1.003 1.044,-1.824 1.653,-2.404 l 2.372,2.92 2.372,-2.92 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 c 1.085,-0.581 2.178,-0.894 3.164,-0.906 l 0.523,3.308 3.31,-0.525 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.7570001 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 l -2.367,-2.369 z"
+       id="path2-9" />
+    <path
+       d="m 43.38633,-26.007714 c -0.53,-1.489 -0.698,-2.97 -0.432,-4.2 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 c 1.261,0.127 2.613,0.743 3.862,1.706 0.118,-0.337 0.244,-0.663 0.382,-0.967 -1.551,-1.135 -3.223,-1.763 -4.73,-1.763 -0.123,0 -0.245,0.004 -0.366,0.013 l -0.511,3.223 -3.224,-0.511 c -0.6,1.487 -0.565,3.415 0.085,5.393 0.335,-0.037 0.684,-0.061 1.047,-0.069 z m 14.501,-5.319 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 0.651,-1.978 0.685,-3.906 0.085,-5.394 l -3.225,0.512 -0.511,-3.224 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z m -14.225,21.641 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 l 1.089,-2.128 0.454,-0.887 -0.891,-0.452 -2.136,-1.088 c 0.508,-1.151 1.515,-2.25 2.818,-3.143 -0.287,-0.219 -0.561,-0.441 -0.81,-0.669 -1.687,1.217 -2.846,2.755 -3.235,4.31 l 2.908,1.483 -1.482,2.843 c 1.221,1.023 3.049,1.522 5.114,1.522 z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.5170001 -1.181,2.8120001 -2.119,3.6510001 l -1.695,-1.694 -0.707,-0.707 -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.6520001 -0.296,0.2060001 -0.593,0.3970001 -0.886,0.5630001 0.636,1.98 1.741,3.559 3.1,4.409 l 2.308,-2.307 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.5640001 z"
+       fill="#ea596e"
+       id="path4-3" />
+    <path
+       fill="#ea596e"
+       d="m 56.41233,-31.002714 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 l -3.244,-0.865 -0.182,3.357 c -1.019,-0.677 -2.132,-1.66 -3.198,-2.973 l -2.329,-2.863 -2.328,2.862 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 l 2.004,-3.099 -3.442,-1.328 c -1.577,-0.609 -2.856,-1.363 -3.814,-2.122 l 3.135,-1.208 -1.827,-2.823 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 l 2.119,2.609 2.118,-2.609 m 0.19,-4.991 -2.308,2.841 -2.308,-2.841 c -1.989,1.532 -3.421,4.992 -3.646,9.112 -1.617,-0.43 -3.192,-0.637 -4.632,-0.637 -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.5160001 l 3.537,-0.9410001 0.196,3.6540001 c 2.512,-0.07 5.703,-2.027 8.307,-5.2280001 2.603,3.2010001 5.796,5.1580001 8.306,5.2280001 l 0.198,-3.6550001 3.535,0.9430001 c 0.71,-2.4110001 -0.165,-6.0500001 -2.404,-9.5170001 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 -0.225,-4.119 -1.657,-7.579 -3.646,-9.111 z"
+       id="path6-6" />
+  </g>
+  <text
+     xml:space="preserve"
+     style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
+     x="2.2188232"
+     y="31.430677"
+     id="text46212"><tspan
+       sodipodi:role="line"
+       id="tspan46210"
+       x="2.2188232"
+       y="31.430677"
+       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">D</tspan></text>
+  <text
+     xml:space="preserve"
+     style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
+     x="41.347008"
+     y="67.114784"
+     id="text46212-1"><tspan
+       sodipodi:role="line"
+       id="tspan46210-5"
+       x="41.347008"
+       y="67.114784"
+       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">F</tspan></text>
+</svg>
@@ -0,0 +1,537 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+   width="850"
+   height="480"
+   viewBox="0 0 224.89584 127"
+   version="1.1"
+   id="svg8"
+   inkscape:version="1.2 (dc2aedaf03, 2022-05-15)"
+   sodipodi:docname="garage_tables.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:dc="http://purl.org/dc/elements/1.1/">
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="marker1262"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow1Mend"
+       inkscape:isstock="true">
+      <path
+         transform="matrix(-0.4,0,0,-0.4,-4,0)"
+         style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
+         d="M 0,0 5,-5 -12.5,0 5,5 Z"
+         id="path1260" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow1Mend"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow1Mend"
+       inkscape:isstock="true"
+       inkscape:collect="always">
+      <path
+         transform="matrix(-0.4,0,0,-0.4,-4,0)"
+         style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
+         d="M 0,0 5,-5 -12.5,0 5,5 Z"
+         id="path965" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow1Lend"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow1Lend"
+       inkscape:isstock="true">
+      <path
+         transform="matrix(-0.8,0,0,-0.8,-10,0)"
+         style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
+         d="M 0,0 5,-5 -12.5,0 5,5 Z"
+         id="path959" />
+    </marker>
+  </defs>
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="0.98994949"
+     inkscape:cx="429.31483"
+     inkscape:cy="289.40871"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     inkscape:document-rotation="0"
+     showgrid="false"
+     units="px"
+     inkscape:window-width="1678"
+     inkscape:window-height="993"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:showpageshadow="2"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1" />
+  <metadata
+     id="metadata5">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title />
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+       x="39.570904"
+       y="38.452755"
+       id="text2025"><tspan
+         sodipodi:role="line"
+         id="tspan2023"
+         x="39.570904"
+         y="38.452755"
+         style="font-size:5.64444px;stroke-width:0.264583" /></text>
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+       x="101.95796"
+       y="92.835831"
+       id="text2139"><tspan
+         sodipodi:role="line"
+         id="tspan2137"
+         x="101.95796"
+         y="92.835831"
+         style="stroke-width:0.264583"> </tspan></text>
+    <g
+       id="g2316"
+       transform="translate(-11.455511,1.5722486)">
+      <g
+         id="g2277">
+        <rect
+           style="fill:none;stroke:#000000;stroke-width:0.8;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+           id="rect833"
+           width="47.419891"
+           height="95.353409"
+           x="18.534418"
+           y="24.42766" />
+        <rect
+           style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+           id="rect833-3"
+           width="47.419891"
+           height="86.973076"
+           x="18.534418"
+           y="32.807987" />
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="32.250839"
+           y="29.894743"
+           id="text852"><tspan
+             sodipodi:role="line"
+             id="tspan850"
+             x="32.250839"
+             y="29.894743"
+             style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Object</tspan></text>
+      </g>
+      <g
+         id="g2066"
+         transform="translate(-2.1807817,-3.0621439)">
+        <g
+           id="g1969"
+           transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
+           style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
+          <path
+             style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
+             d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
+             id="path1971"
+             sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+        </g>
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="28.809687"
+           y="44.070885"
+           id="text852-9"><tspan
+             sodipodi:role="line"
+             id="tspan850-4"
+             x="28.809687"
+             y="44.070885"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">bucket </tspan></text>
+      </g>
+      <g
+         id="g2066-7"
+         transform="translate(-2.1807817,6.2627616)">
+        <g
+           id="g1969-8"
+           transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
+           style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
+          <path
+             style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
+             d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
+             id="path1971-4"
+             sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+        </g>
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="28.809687"
+           y="44.070885"
+           id="text852-9-5"><tspan
+             sodipodi:role="line"
+             id="tspan850-4-0"
+             x="28.809687"
+             y="44.070885"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">file path </tspan></text>
+        <path
+           style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
+           d="m 174.20027,104.45585 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01896 -0.29018,0.23384 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48552 -0.0785,-1.10816 0.21033,-1.5338 0.11145,-0.16426 0.40217,-0.44459 0.53451,-0.51542 l 0.0681,-3.639207 0.73832,-0.64992 0.88727,0.787138 -0.40986,0.445484 0.4054,0.440982 -0.4054,0.435013 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72639 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25778 0.17481,0.3793 0.0803,0.25382 0.11239,0.73838 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40526 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16447 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.1849 0.34829,-0.32754 0.0392,-0.13086 0.0392,-0.11544 -1e-4,-0.2568 z"
+           id="path1971-3"
+           sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="177.8474"
+           y="104.05132"
+           id="text852-9-6"><tspan
+             sodipodi:role="line"
+             id="tspan850-4-7"
+             x="177.8474"
+             y="104.05132"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= partition key </tspan></text>
+        <path
+           style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
+           d="m 174.20027,113.78076 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01895 -0.29018,0.23385 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48553 -0.0785,-1.10816 0.21033,-1.53381 0.11145,-0.16425 0.40217,-0.44459 0.53451,-0.51541 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.78714 -0.40986,0.44548 0.4054,0.44098 -0.4054,0.43502 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72638 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25779 0.17481,0.37931 0.0803,0.25382 0.11239,0.73837 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40527 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16446 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.18491 0.34829,-0.32754 0.0392,-0.13087 0.0392,-0.11545 -1e-4,-0.2568 z"
+           id="path1971-4-5"
+           sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="177.8474"
+           y="113.37622"
+           id="text852-9-5-3"><tspan
+             sodipodi:role="line"
+             id="tspan850-4-0-5"
+             x="177.8474"
+             y="113.37622"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= sort key </tspan></text>
+      </g>
+      <g
+         id="g2161"
+         transform="translate(-62.264403,-59.333115)">
+        <g
+           id="g2271"
+           transform="translate(0,67.042823)">
+          <rect
+             style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+             id="rect833-6"
+             width="39.008453"
+             height="16.775949"
+             x="84.896881"
+             y="90.266838" />
+          <rect
+             style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+             id="rect833-3-1"
+             width="39.008453"
+             height="8.673645"
+             x="84.896881"
+             y="98.369141" />
+          <text
+             xml:space="preserve"
+             style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+             x="89.826942"
+             y="96.212921"
+             id="text852-0"><tspan
+               sodipodi:role="line"
+               id="tspan850-6"
+               x="89.826942"
+               y="96.212921"
+               style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 1</tspan></text>
+          <text
+             xml:space="preserve"
+             style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+             x="89.826942"
+             y="104.71013"
+             id="text852-0-3"><tspan
+               sodipodi:role="line"
+               id="tspan850-6-2"
+               x="89.826942"
+               y="104.71013"
+               style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#4d4d4d;stroke-width:0.264583">deleted</tspan></text>
+        </g>
+      </g>
+      <g
+         id="g2263"
+         transform="translate(0,-22.791204)">
+        <g
+           id="g2161-1"
+           transform="translate(-62.264403,-10.910843)">
+          <rect
+             style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+             id="rect833-6-5"
+             width="39.008453"
+             height="36.749603"
+             x="84.896881"
+             y="90.266838" />
+          <rect
+             style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+             id="rect833-3-1-5"
+             width="39.008453"
+             height="28.647301"
+             x="84.896881"
+             y="98.369141" />
+          <text
+             xml:space="preserve"
+             style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+             x="89.826942"
+             y="96.212921"
+             id="text852-0-4"><tspan
+               sodipodi:role="line"
+               id="tspan850-6-7"
+               x="89.826942"
+               y="96.212921"
+               style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 2</tspan></text>
+          <text
+             xml:space="preserve"
+             style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+             x="89.826942"
+             y="104.71013"
+             id="text852-0-3-6"><tspan
+               sodipodi:role="line"
+               id="tspan850-6-2-5"
+               x="89.826942"
+               y="104.71013"
+               style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">id</tspan></text>
+        </g>
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="27.56254"
+           y="100.34132"
+           id="text852-0-3-6-6"><tspan
+             sodipodi:role="line"
+             id="tspan850-6-2-5-9"
+             x="27.56254"
+             y="100.34132"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">size</tspan></text>
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="27.56254"
+           y="106.90263"
+           id="text852-0-3-6-6-3"><tspan
+             sodipodi:role="line"
+             id="tspan850-6-2-5-9-7"
+             x="27.56254"
+             y="106.90263"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">MIME type</tspan></text>
+        <text
+           xml:space="preserve"
+           style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+           x="27.56254"
+           y="111.92816"
+           id="text852-0-3-6-6-3-4"><tspan
+             sodipodi:role="line"
+             id="tspan850-6-2-5-9-7-5"
+             x="27.56254"
+             y="111.92816"
+             style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">...</tspan></text>
+      </g>
+    </g>
+    <g
+       id="g898"
+       transform="translate(-6.2484318,29.95006)">
+      <rect
+         style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+         id="rect833-7"
+         width="47.419891"
+         height="44.007515"
+         x="95.443573"
+         y="24.42766" />
+      <rect
+         style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+         id="rect833-3-4"
+         width="47.419891"
+         height="35.627186"
+         x="95.443573"
+         y="32.807987" />
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="107.46638"
+         y="29.894743"
+         id="text852-4"><tspan
+           sodipodi:role="line"
+           id="tspan850-3"
+           x="107.46638"
+           y="29.894743"
+           style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version</tspan></text>
+      <path
+         style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
+         d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
+         id="path1971-0"
+         sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="41.008743"
+         id="text852-9-7"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8"
+           x="104.99195"
+           y="41.008743"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">id </tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="49.168018"
+         id="text852-9-7-6"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8-8"
+           x="104.99195"
+           y="49.168018"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 1)</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="56.583336"
+         id="text852-9-7-6-8"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8-8-4"
+           x="104.99195"
+           y="56.583336"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 2)</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="64.265732"
+         id="text852-9-7-6-3"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8-8-1"
+           x="104.99195"
+           y="64.265732"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">...</tspan></text>
+    </g>
+    <g
+       id="g898-3"
+       transform="translate(75.777779,38.888663)">
+      <rect
+         style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+         id="rect833-7-6"
+         width="47.419891"
+         height="29.989157"
+         x="95.443573"
+         y="24.42766" />
+      <rect
+         style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
+         id="rect833-3-4-7"
+         width="47.419891"
+         height="21.608831"
+         x="95.443573"
+         y="32.807987" />
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="102.11134"
+         y="29.894743"
+         id="text852-4-5"><tspan
+           sodipodi:role="line"
+           id="tspan850-3-3"
+           x="102.11134"
+           y="29.894743"
+           style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Data block</tspan></text>
+      <path
+         style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
+         d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
+         id="path1971-0-5"
+         sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="41.008743"
+         id="text852-9-7-62"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8-9"
+           x="104.99195"
+           y="41.008743"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">hash </tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+         x="104.99195"
+         y="49.168018"
+         id="text852-9-7-6-1"><tspan
+           sodipodi:role="line"
+           id="tspan850-4-8-8-2"
+           x="104.99195"
+           y="49.168018"
+           style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">data</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1Mend)"
+       d="M 42.105292,69.455903 89.563703,69.317144"
+       id="path954"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#marker1262)"
+       d="m 134.32612,77.363197 38.12618,0.260865"
+       id="path1258"
+       sodipodi:nodetypes="cc" />
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+       x="8.6727352"
+       y="16.687063"
+       id="text852-3"><tspan
+         sodipodi:role="line"
+         id="tspan850-67"
+         x="8.6727352"
+         y="16.687063"
+         style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Objects table </tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+       x="89.190445"
+       y="16.687063"
+       id="text852-3-5"><tspan
+         sodipodi:role="line"
+         id="tspan850-67-3"
+         x="89.190445"
+         y="16.687063"
+         style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Versions table </tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
+       x="174.55702"
+       y="16.687063"
+       id="text852-3-56"><tspan
+         sodipodi:role="line"
+         id="tspan850-67-2"
+         x="174.55702"
+         y="16.687063"
+         style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Blocks table</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,433 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice1.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="445.81962"
+     inkscape:cy="222.66987"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
@@ -0,0 +1,514 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice2.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="384.39345"
+     inkscape:cy="227.46879"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="139.48744"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="131.61919"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,515 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice3.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="324.06479"
+     inkscape:cy="168.98876"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="139.48744"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,525 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice4.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="0.73673541"
+     inkscape:cx="287.07728"
+     inkscape:cy="294.54265"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="126.08154"
+       cy="67.968384"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="52.022549"
+       id="text4280"><tspan
+         sodipodi:role="line"
+         id="tspan4278"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="52.022549">return OK</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,536 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice5.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="276.89766"
+     inkscape:cy="254.34273"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="126.08154"
+       cy="67.968384"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.261436"
+       id="text3707-1"><tspan
+         sodipodi:role="line"
+         id="tspan3705-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.261436">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="52.022549"
+       id="text4280"><tspan
+         sodipodi:role="line"
+         id="tspan4278"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="52.022549">return OK</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,553 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice6.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="277.85744"
+     inkscape:cy="254.34273"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="126.08154"
+       cy="67.968384"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.261436"
+       id="text3707-1"><tspan
+         sodipodi:role="line"
+         id="tspan3705-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.261436">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-4"
+       cx="18.004833"
+       cy="70.942116"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="73.643356"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-65"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="73.643356">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="52.022549"
+       id="text4280"><tspan
+         sodipodi:role="line"
+         id="tspan4278"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="52.022549">return OK</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,581 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice7.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="276.89766"
+     inkscape:cy="254.34273"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="126.08154"
+       cy="67.968384"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.261436"
+       id="text3707-1"><tspan
+         sodipodi:role="line"
+         id="tspan3705-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.261436">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-4"
+       cx="18.004833"
+       cy="70.942116"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="73.643356"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-65"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="73.643356">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="52.022549"
+       id="text4280"><tspan
+         sodipodi:role="line"
+         id="tspan4278"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="52.022549">return OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="92.005798"
+       id="text4280-3"><tspan
+         sodipodi:role="line"
+         id="tspan4278-7"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-5"
+       cx="18.004833"
+       cy="81.007744"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="83.577797"
+       id="text3750-0-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-9"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="83.577797">$\to \{a\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,581 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="400"
+   viewBox="0 0 264.58333 105.83333"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="lattice8.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="399.39712"
+     inkscape:cy="248.39311"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
+       id="rect288"
+       width="209.84705"
+       height="104.42732"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="stroke-width:0.264583;fill:#000000"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="stroke-width:0.264583;fill:#000000"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="stroke-width:0.264583;fill:#000000"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="stroke-width:0.264583;fill:#000000"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="132.33408"
+       cy="68.007973"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="126.08154"
+       cy="67.968384"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="119.58919"
+       cy="67.645035"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="stroke-width:0.264583;fill:#000000"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.261436"
+       id="text3707-1"><tspan
+         sodipodi:role="line"
+         id="tspan3705-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.261436">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-4"
+       cx="18.004833"
+       cy="70.942116"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="73.643356"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-65"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="73.643356">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="52.022549"
+       id="text4280"><tspan
+         sodipodi:role="line"
+         id="tspan4278"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="52.022549">return OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="14.395845"
+       y="92.005798"
+       id="text4280-3"><tspan
+         sodipodi:role="line"
+         id="tspan4278-7"
+         style="fill:#000000;stroke-width:0.264583"
+         x="14.395845"
+         y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-5"
+       cx="18.004833"
+       cy="81.007744"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="83.577797"
+       id="text3750-0-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-9"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="83.577797">$\to \{a\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,576 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_1.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="469.81422"
+     inkscape:cy="257.22209"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="141.05479"
+       cy="95.316383"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="134.56244"
+       cy="94.993034"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,715 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_10.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="664.65036"
+     inkscape:cy="366.63745"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0-6"
+       cx="174.36296"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="127.6125"
+       id="text3750-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3-8"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="127.6125">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="169.92604"
+       y="146.3129"
+       id="text4280-6-7"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="169.92604"
+         y="146.3129"
+         id="tspan2630-9">return $\{b\}$</tspan></text>
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7-2"
+       cx="174.36296"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="136.59073"
+       id="text3750-3-6-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="136.59073">$\to \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583"
+       x="259.75"
+       y="135.53111"
+       id="text9043"><tspan
+         sodipodi:role="line"
+         id="tspan9041"
+         style="fill:#ff0000;stroke-width:0.264583"
+         x="259.75"
+         y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan
+         sodipodi:role="line"
+         style="fill:#ff0000;stroke-width:0.264583"
+         x="259.75"
+         y="146.11446"
+         id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,576 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_2.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="586.70996"
+     inkscape:cy="321.01077"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="141.05479"
+       cy="95.316383"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,576 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_3.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="2.0838024"
+     inkscape:cx="465.25525"
+     inkscape:cy="269.21938"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+  </g>
+</svg>
@@ -0,0 +1,587 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_4.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="505.32622"
+     inkscape:cy="316.72869"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+  </g>
+</svg>
@@ -0,0 +1,604 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_5.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="408.21983"
+     inkscape:cy="319.65343"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,632 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_6.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="408.21983"
+     inkscape:cy="319.65343"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,654 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_7.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="553.45515"
+     inkscape:cy="346.80022"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,671 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_8.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.4734708"
+     inkscape:cx="448.94001"
+     inkscape:cy="322.36811"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0-6"
+       cx="174.36296"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="127.6125"
+       id="text3750-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3-8"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="127.6125">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+  </g>
+</svg>
@@ -0,0 +1,699 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   width="1000"
+   height="600"
+   viewBox="0 0 264.58333 158.75"
+   version="1.1"
+   id="svg5"
+   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   sodipodi:docname="latticeB_9.svg"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <sodipodi:namedview
+     id="namedview7"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:document-units="mm"
+     showgrid="false"
+     inkscape:zoom="1.0419012"
+     inkscape:cx="664.65036"
+     inkscape:cy="366.63745"
+     inkscape:window-width="1920"
+     inkscape:window-height="999"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="layer2" />
+  <defs
+     id="defs2">
+    <marker
+       style="overflow:visible"
+       id="Arrow2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-2"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-8" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-75-7-1"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-9-3-2" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-93-1-4"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-6-8-7" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow2-9-7-2-8"
+       refX="0"
+       refY="0"
+       orient="auto-start-reverse"
+       inkscape:stockid="Arrow2"
+       markerWidth="7.6999998"
+       markerHeight="5.5999999"
+       viewBox="0 0 7.7 5.6"
+       inkscape:isstock="true"
+       inkscape:collect="always"
+       preserveAspectRatio="xMidYMid">
+      <path
+         transform="scale(0.7)"
+         d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
+         style="fill:context-stroke;fill-rule:evenodd;stroke:none"
+         id="arrow2L-1-0-6-4" />
+    </marker>
+  </defs>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1"
+     sodipodi:insensitive="true">
+    <rect
+       style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
+       id="rect288"
+       width="262.58151"
+       height="156.82782"
+       x="0.77790999"
+       y="0.93738818" />
+  </g>
+  <g
+     inkscape:groupmode="layer"
+     id="layer2"
+     inkscape:label="Layer 2">
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="99.307442"
+       id="text951"><tspan
+         sodipodi:role="line"
+         id="tspan949"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="99.307442">$\{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+       x="164.56372"
+       y="13.151893"
+       id="text1005"><tspan
+         sodipodi:role="line"
+         id="tspan1003"
+         style="fill:#000000;stroke-width:0.264583"
+         x="164.56372"
+         y="13.151893">$\{a,b,c\}$</tspan></text>
+    <g
+       id="g1175"
+       transform="translate(51.996784,3.5774043)">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="67.008698"
+         id="text1009"><tspan
+           sodipodi:role="line"
+           id="tspan1007"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="67.008698">$\{a\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="67.017166"
+         id="text1009-3"><tspan
+           sodipodi:role="line"
+           id="tspan1007-6"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="67.017166">$\{b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="67.008698"
+         id="text1009-7"><tspan
+           sodipodi:role="line"
+           id="tspan1007-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="67.008698">$\{c\}$</tspan></text>
+    </g>
+    <g
+       id="g1183"
+       transform="translate(51.996784,1.0317046)"
+       style="fill:#000000">
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="112.90984"
+         y="40.841526"
+         id="text1117"><tspan
+           sodipodi:role="line"
+           id="tspan1115"
+           style="fill:#000000;stroke-width:0.264583"
+           x="112.90984"
+           y="40.841526">$\{a,c\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="49.27084"
+         y="40.841526"
+         id="text1117-3"><tspan
+           sodipodi:role="line"
+           id="tspan1115-5"
+           style="fill:#000000;stroke-width:0.264583"
+           x="49.27084"
+           y="40.841526">$\{a,b\}$</tspan></text>
+      <text
+         xml:space="preserve"
+         style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
+         x="176.20593"
+         y="40.841526"
+         id="text1117-6"><tspan
+           sodipodi:role="line"
+           id="tspan1115-2"
+           style="fill:#000000;stroke-width:0.264583"
+           x="176.20593"
+           y="40.841526">$\{b,c\}$</tspan></text>
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
+       d="M 153.33622,90.367682 118.34198,73.428915"
+       id="path1300" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
+       d="M 177.46016,90.367682 212.4544,73.428915"
+       id="path1300-2" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
+       d="M 153.33622,61.655656 118.34198,44.716889"
+       id="path1300-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
+       d="M 177.46016,61.655656 212.4544,44.716889"
+       id="path1300-2-6" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
+       d="M 118.34198,61.655656 153.33622,44.716889"
+       id="path1300-0-7" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
+       d="M 212.4544,61.655656 177.46016,44.716889"
+       id="path1300-2-6-9" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
+       d="M 118.34198,34.227412 153.33622,17.288645"
+       id="path1300-0-7-5" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
+       d="M 212.4544,34.227412 177.46016,17.288645"
+       id="path1300-2-6-9-0" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
+       d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
+       d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-9"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
+       d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0-6"
+       cx="174.36296"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="127.6125"
+       id="text3750-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3-8"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="127.6125">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="169.92604"
+       y="146.3129"
+       id="text4280-6-7"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="169.92604"
+         y="146.3129"
+         id="tspan2630-9">return $\{b\}$</tspan></text>
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7-2"
+       cx="174.36296"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="136.59073"
+       id="text3750-3-6-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="136.59073">$\to \{b\}$</tspan></text>
+  </g>
+</svg>
@@ -1,7 +1,7 @@
 export AWS_ACCESS_KEY_ID=`cat /tmp/garage.s3 |cut -d' ' -f1`
 export AWS_SECRET_ACCESS_KEY=`cat /tmp/garage.s3 |cut -d' ' -f2`
 export AWS_DEFAULT_REGION='garage'
-
+# FUTUREWORK: set AWS_ENDPOINT_URL instead, once nixpkgs bumps awscli to >=2.13.0.
 function aws { command aws --endpoint-url http://127.0.0.1:3911 $@ ; }

 aws --version
@@ -21,4 +21,4 @@ version: 0.4.1
 # incremented each time you make changes to the application. Versions are not expected to
 # follow Semantic Versioning. They should reflect the version the application is using.
 # It is recommended to use it with quotes.
-appVersion: "v0.8.4"
+appVersion: "v0.8.5"
@@ -1,6 +1,6 @@
 [package]
 name = "garage_api"
-version = "0.8.4"
+version = "0.8.5"
 authors = ["Alex Auvolat <alex@adnab.me>"]
 edition = "2018"
 license = "AGPL-3.0"
@@ -45,6 +45,7 @@ http = "0.2"
 httpdate = "1.0"
 http-range = "0.1"
 hyper = { version = "0.14", features = ["server", "http1", "runtime", "tcp", "stream"] }
+hyperlocal = { version = "0.8.0", default-features = false, features = ["server"] }
 multer = "2.0"
 percent-encoding = "2.1.0"
 roxmltree = "0.18"
@@ -1,5 +1,4 @@
 use std::collections::HashMap;
-use std::net::SocketAddr;
 use std::sync::Arc;

 use async_trait::async_trait;
@@ -18,6 +17,7 @@ use prometheus::{Encoder, TextEncoder};
 use garage_model::garage::Garage;
 use garage_rpc::system::ClusterHealthStatus;
 use garage_util::error::Error as GarageError;
+use garage_util::socket_address::UnixOrTCPSocketAddress;

 use crate::generic_server::*;

@@ -61,12 +61,12 @@ impl AdminApiServer {

 	pub async fn run(
 		self,
-		bind_addr: SocketAddr,
+		bind_addr: UnixOrTCPSocketAddress,
 		shutdown_signal: impl Future<Output = ()>,
 	) -> Result<(), GarageError> {
 		let region = self.garage.config.s3_api.s3_region.clone();
 		ApiServer::new(region, self)
-			.run_server(bind_addr, shutdown_signal)
+			.run_server(bind_addr, Some(0o220), shutdown_signal)
 			.await
 	}

@@ -1,4 +1,5 @@
-use std::net::SocketAddr;
+use std::fs::{self, Permissions};
+use std::os::unix::fs::PermissionsExt;
 use std::sync::Arc;

 use async_trait::async_trait;
@@ -11,6 +12,10 @@ use hyper::service::{make_service_fn, service_fn};
 use hyper::{Body, Request, Response, Server};
 use hyper::{HeaderMap, StatusCode};

+use hyperlocal::UnixServerExt;
+
+use tokio::net::UnixStream;
+
 use opentelemetry::{
 	global,
 	metrics::{Counter, ValueRecorder},
@@ -21,6 +26,7 @@ use opentelemetry::{
 use garage_util::error::Error as GarageError;
 use garage_util::forwarded_headers;
 use garage_util::metrics::{gen_trace_id, RecordDuration};
+use garage_util::socket_address::UnixOrTCPSocketAddress;

 pub(crate) trait ApiEndpoint: Send + Sync + 'static {
 	fn name(&self) -> &'static str;
@@ -91,10 +97,11 @@ impl<A: ApiHandler> ApiServer<A> {

 	pub async fn run_server(
 		self: Arc<Self>,
-		bind_addr: SocketAddr,
+		bind_addr: UnixOrTCPSocketAddress,
+		unix_bind_addr_mode: Option<u32>,
 		shutdown_signal: impl Future<Output = ()>,
 	) -> Result<(), GarageError> {
-		let service = make_service_fn(|conn: &AddrStream| {
+		let tcp_service = make_service_fn(|conn: &AddrStream| {
 			let this = self.clone();

 			let client_addr = conn.remote_addr();
@@ -102,28 +109,63 @@ impl<A: ApiHandler> ApiServer<A> {
 				Ok::<_, GarageError>(service_fn(move |req: Request<Body>| {
 					let this = this.clone();

-					this.handler(req, client_addr)
+					this.handler(req, client_addr.to_string())
 				}))
 			}
 		});

-		let server = Server::bind(&bind_addr).serve(service);
+		let unix_service = make_service_fn(|_: &UnixStream| {
+			let this = self.clone();
+
+			let path = bind_addr.to_string();
+			async move {
+				Ok::<_, GarageError>(service_fn(move |req: Request<Body>| {
+					let this = this.clone();
+
+					this.handler(req, path.clone())
+				}))
+			}
+		});

-		let graceful = server.with_graceful_shutdown(shutdown_signal);
 		info!(
-			"{} API server listening on http://{}",
+			"{} API server listening on {}",
 			A::API_NAME_DISPLAY,
 			bind_addr
 		);

-		graceful.await?;
+		match bind_addr {
+			UnixOrTCPSocketAddress::TCPSocket(addr) => {
+				Server::bind(&addr)
+					.serve(tcp_service)
+					.with_graceful_shutdown(shutdown_signal)
+					.await?
+			}
+			UnixOrTCPSocketAddress::UnixSocket(ref path) => {
+				if path.exists() {
+					fs::remove_file(path)?
+				}
+
+				let bound = Server::bind_unix(path)?;
+
+				fs::set_permissions(
+					path,
+					Permissions::from_mode(unix_bind_addr_mode.unwrap_or(0o222)),
+				)?;
+
+				bound
+					.serve(unix_service)
+					.with_graceful_shutdown(shutdown_signal)
+					.await?;
+			}
+		};
+
 		Ok(())
 	}

 	async fn handler(
 		self: Arc<Self>,
 		req: Request<Body>,
-		addr: SocketAddr,
+		addr: String,
 	) -> Result<Response<Body>, GarageError> {
 		let uri = req.uri().clone();

@@ -1,4 +1,3 @@
-use std::net::SocketAddr;
 use std::sync::Arc;

 use async_trait::async_trait;
@@ -9,6 +8,7 @@ use hyper::{Body, Method, Request, Response};
 use opentelemetry::{trace::SpanRef, KeyValue};

 use garage_util::error::Error as GarageError;
+use garage_util::socket_address::UnixOrTCPSocketAddress;

 use garage_model::garage::Garage;

@@ -37,12 +37,12 @@ pub(crate) struct K2VApiEndpoint {
 impl K2VApiServer {
 	pub async fn run(
 		garage: Arc<Garage>,
-		bind_addr: SocketAddr,
+		bind_addr: UnixOrTCPSocketAddress,
 		s3_region: String,
 		shutdown_signal: impl Future<Output = ()>,
 	) -> Result<(), GarageError> {
 		ApiServer::new(s3_region, K2VApiServer { garage })
-			.run_server(bind_addr, shutdown_signal)
+			.run_server(bind_addr, None, shutdown_signal)
 			.await
 	}
 }
@@ -1,4 +1,3 @@
-use std::net::SocketAddr;
 use std::sync::Arc;

 use async_trait::async_trait;
@@ -10,6 +9,7 @@ use hyper::{Body, Request, Response};
 use opentelemetry::{trace::SpanRef, KeyValue};

 use garage_util::error::Error as GarageError;
+use garage_util::socket_address::UnixOrTCPSocketAddress;

 use garage_model::garage::Garage;
 use garage_model::key_table::Key;
@@ -44,12 +44,12 @@ pub(crate) struct S3ApiEndpoint {
 impl S3ApiServer {
 	pub async fn run(
 		garage: Arc<Garage>,
-		addr: SocketAddr,
+		addr: UnixOrTCPSocketAddress,
 		s3_region: String,
 		shutdown_signal: impl Future<Output = ()>,
 	) -> Result<(), GarageError> {
 		ApiServer::new(s3_region, S3ApiServer { garage })
-			.run_server(addr, shutdown_signal)
+			.run_server(addr, None, shutdown_signal)
 			.await
 	}

@@ -15,6 +15,7 @@ use serde::Deserialize;

 use garage_model::garage::Garage;

+use crate::s3::cors::*;
 use crate::s3::error::*;
 use crate::s3::put::{get_headers, save_stream};
 use crate::s3::xml as s3_xml;
@@ -242,7 +243,7 @@ pub async fn handle_post_object(

 	let etag = format!("\"{}\"", md5);

-	let resp = if let Some(mut target) = params
+	let mut resp = if let Some(mut target) = params
 		.get("success_action_redirect")
 		.and_then(|h| h.to_str().ok())
 		.and_then(|u| url::Url::parse(u).ok())
@@ -262,8 +263,7 @@ pub async fn handle_post_object(
 	} else {
 		let path = head
 			.uri
-			.into_parts()
-			.path_and_query
+			.path_and_query()
 			.map(|paq| paq.path().to_string())
 			.unwrap_or_else(|| "/".to_string());
 		let authority = head
@@ -308,6 +308,13 @@ pub async fn handle_post_object(
 		}
 	};

+	let matching_cors_rule =
+		find_matching_cors_rule(&bucket, &Request::from_parts(head, Body::empty()))?;
+	if let Some(rule) = matching_cors_rule {
+		add_cors_headers(&mut resp, rule)
+			.ok_or_internal_error("Invalid bucket CORS configuration")?;
+	}
+
 	Ok(resp)
 }

@@ -1,6 +1,6 @@
 [package]
 name = "garage_block"
-version = "0.8.4"
+version = "0.8.5"
 authors = ["Alex Auvolat <alex@adnab.me>"]
 edition = "2018"
 license = "AGPL-3.0"
@@ -1,6 +1,6 @@
 [package]
 name = "garage_db"
-version = "0.8.4"
+version = "0.8.5"
 authors = ["Alex Auvolat <alex@adnab.me>"]
 edition = "2018"
 license = "AGPL-3.0"
@@ -11,11 +11,6 @@ readme = "../../README.md"
 [lib]
 path = "lib.rs"

-[[bin]]
-name = "convert"
-path = "bin/convert.rs"
-required-features = ["cli"]
-
 [dependencies]
 err-derive = "0.3"
 hexdump = "0.1"
@@ -1,6 +1,6 @@
 [package]
 name = "garage"
-version = "0.8.4"
+version = "0.8.5"
 authors = ["Alex Auvolat <alex@adnab.me>"]
 edition = "2018"
 license = "AGPL-3.0"
@@ -67,6 +67,7 @@ chrono = "0.4"
 http = "0.2"
 hmac = "0.12"
 hyper = { version = "0.14", features = ["client", "http1", "runtime"] }
+mktemp = "0.5"
 sha2 = "0.10"

 static_init = "1.0"
@@ -1,39 +1,30 @@
 use std::path::PathBuf;

+use structopt::StructOpt;
+
 use garage_db::*;

-use clap::Parser;
-
 /// K2V command line interface
-#[derive(Parser, Debug)]
-#[clap(author, version, about, long_about = None)]
-struct Args {
-	/// Input DB path
-	#[clap(short = 'i')]
+#[derive(StructOpt, Debug)]
+pub struct ConvertDbOpt {
+	/// Input database path (not the same as metadata_dir, see
+	/// https://garagehq.deuxfleurs.fr/documentation/reference-manual/configuration/#db-engine-since-v0-8-0)
+	#[structopt(short = "i")]
 	input_path: PathBuf,
-	/// Input DB engine
-	#[clap(short = 'a')]
+	/// Input database engine (sled, lmdb or sqlite; limited by db engines
+	/// enabled in this build)
+	#[structopt(short = "a")]
 	input_engine: String,

-	/// Output DB path
-	#[clap(short = 'o')]
+	/// Output database path
+	#[structopt(short = "o")]
 	output_path: PathBuf,
-	/// Output DB engine
-	#[clap(short = 'b')]
+	/// Output database engine
+	#[structopt(short = "b")]
 	output_engine: String,
 }

-fn main() {
-	let args = Args::parse();
-	pretty_env_logger::init();
-
-	match do_conversion(args) {
-		Ok(()) => println!("Success!"),
-		Err(e) => eprintln!("Error: {}", e),
-	}
-}
-
-fn do_conversion(args: Args) -> Result<()> {
+pub(crate) fn do_conversion(args: ConvertDbOpt) -> Result<()> {
 	let input = open_db(args.input_path, args.input_engine)?;
 	let output = open_db(args.output_path, args.output_engine)?;
 	output.import(&input)?;
@@ -42,14 +33,17 @@ fn do_conversion(args: Args) -> Result<()> {

 fn open_db(path: PathBuf, engine: String) -> Result<Db> {
 	match engine.as_str() {
+		#[cfg(feature = "sled")]
 		"sled" => {
 			let db = sled_adapter::sled::Config::default().path(&path).open()?;
 			Ok(sled_adapter::SledDb::init(db))
 		}
+		#[cfg(feature = "sqlite")]
 		"sqlite" | "sqlite3" | "rusqlite" => {
 			let db = sqlite_adapter::rusqlite::Connection::open(&path)?;
 			Ok(sqlite_adapter::SqliteDb::init(db))
 		}
+		#[cfg(feature = "lmdb")]
 		"lmdb" | "heed" => {
 			std::fs::create_dir_all(&path).map_err(|e| {
 				Error(format!("Unable to create LMDB data directory: {}", e).into())
@@ -64,6 +58,8 @@ fn open_db(path: PathBuf, engine: String) -> Result<Db> {
 				.unwrap();
 			Ok(lmdb_adapter::LmdbDb::init(db))
 		}
-		e => Err(Error(format!("Invalid DB engine: {}", e).into())),
+		e => Err(Error(
+			format!("Invalid or unsupported DB engine: {}", e).into(),
+		)),
 	}
 }
@@ -4,6 +4,8 @@ pub(crate) mod layout;
 pub(crate) mod structs;
 pub(crate) mod util;

+pub(crate) mod convert_db;
+
 pub(crate) use cmd::*;
 pub(crate) use init::*;
 pub(crate) use layout::*;
@@ -3,6 +3,8 @@ use structopt::StructOpt;

 use garage_util::version::garage_version;

+use crate::cli::convert_db;
+
 #[derive(StructOpt, Debug)]
 pub enum Command {
 	/// Run Garage server
@@ -54,6 +56,10 @@ pub enum Command {
 	/// Low-level debug operations on data blocks
 	#[structopt(name = "block", version = garage_version())]
 	Block(BlockOperation),
+
+	/// Convert metadata db between database engine formats
+	#[structopt(name = "convert-db", version = garage_version())]
+	ConvertDb(convert_db::ConvertDbOpt),
 }

 #[derive(StructOpt, Debug)]
@@ -7,6 +7,7 @@ extern crate tracing;
 mod admin;
 mod cli;
 mod repair;
+mod secrets;
 mod server;
 #[cfg(feature = "telemetry-otlp")]
 mod tracing_setup;
@@ -25,7 +26,6 @@ use structopt::StructOpt;
 use netapp::util::parse_and_resolve_peer_addr;
 use netapp::NetworkKey;

-use garage_util::config::Config;
 use garage_util::error::*;

 use garage_rpc::system::*;
@@ -35,6 +35,7 @@ use garage_model::helper::error::Error as HelperError;

 use admin::*;
 use cli::*;
+use secrets::Secrets;

 #[derive(StructOpt, Debug)]
 #[structopt(
@@ -63,24 +64,6 @@ struct Opt {
 	cmd: Command,
 }

-#[derive(StructOpt, Debug)]
-pub struct Secrets {
-	/// RPC secret network key, used to replace rpc_secret in config.toml when running the
-	/// daemon or doing admin operations
-	#[structopt(short = "s", long = "rpc-secret", env = "GARAGE_RPC_SECRET")]
-	pub rpc_secret: Option<String>,
-
-	/// Metrics API authentication token, replaces admin.metrics_token in config.toml when
-	/// running the Garage daemon
-	#[structopt(long = "admin-token", env = "GARAGE_ADMIN_TOKEN")]
-	pub admin_token: Option<String>,
-
-	/// Metrics API authentication token, replaces admin.metrics_token in config.toml when
-	/// running the Garage daemon
-	#[structopt(long = "metrics-token", env = "GARAGE_METRICS_TOKEN")]
-	pub metrics_token: Option<String>,
-}
-
 #[tokio::main]
 async fn main() {
 	// Initialize version and features info
@@ -173,6 +156,9 @@ async fn main() {
 		Command::OfflineRepair(repair_opt) => {
 			repair::offline::offline_repair(opt.config_file, opt.secrets, repair_opt).await
 		}
+		Command::ConvertDb(conv_opt) => {
+			cli::convert_db::do_conversion(conv_opt).map_err(From::from)
+		}
 		Command::Node(NodeOperation::NodeId(node_id_opt)) => {
 			node_id_command(opt.config_file, node_id_opt.quiet)
 		}
@@ -255,16 +241,3 @@ async fn cli_command(opt: Opt) -> Result<(), Error> {
 		Ok(x) => Ok(x),
 	}
 }
-
-fn fill_secrets(mut config: Config, secrets: Secrets) -> Config {
-	if secrets.rpc_secret.is_some() {
-		config.rpc_secret = secrets.rpc_secret;
-	}
-	if secrets.admin_token.is_some() {
-		config.admin.admin_token = secrets.admin_token;
-	}
-	if secrets.metrics_token.is_some() {
-		config.admin.metrics_token = secrets.metrics_token;
-	}
-	config
-}
@@ -6,7 +6,7 @@ use garage_util::error::*;
 use garage_model::garage::Garage;

 use crate::cli::structs::*;
-use crate::{fill_secrets, Secrets};
+use crate::secrets::{fill_secrets, Secrets};

 pub async fn offline_repair(
 	config_file: PathBuf,
@@ -20,7 +20,7 @@ pub async fn offline_repair(
 	}

 	info!("Loading configuration...");
-	let config = fill_secrets(read_config(config_file)?, secrets);
+	let config = fill_secrets(read_config(config_file)?, secrets)?;

 	info!("Initializing Garage main data store...");
 	let garage = Garage::new(config)?;
@@ -0,0 +1,318 @@
+use structopt::StructOpt;
+
+use garage_util::config::Config;
+use garage_util::error::Error;
+
+/// Structure for secret values or paths that are passed as CLI arguments or environment
+/// variables, instead of in the config file.
+#[derive(StructOpt, Debug, Default, Clone)]
+pub struct Secrets {
+	/// Skip permission check on files containing secrets
+	#[cfg(unix)]
+	#[structopt(
+		long = "allow-world-readable-secrets",
+		env = "GARAGE_ALLOW_WORLD_READABLE_SECRETS"
+	)]
+	pub allow_world_readable_secrets: Option<bool>,
+
+	/// RPC secret network key, used to replace rpc_secret in config.toml when running the
+	/// daemon or doing admin operations
+	#[structopt(short = "s", long = "rpc-secret", env = "GARAGE_RPC_SECRET")]
+	pub rpc_secret: Option<String>,
+
+	/// RPC secret network key, used to replace rpc_secret in config.toml and rpc-secret
+	/// when running the daemon or doing admin operations
+	#[structopt(long = "rpc-secret-file", env = "GARAGE_RPC_SECRET_FILE")]
+	pub rpc_secret_file: Option<String>,
+
+	/// Admin API authentication token, replaces admin.admin_token in config.toml when
+	/// running the Garage daemon
+	#[structopt(long = "admin-token", env = "GARAGE_ADMIN_TOKEN")]
+	pub admin_token: Option<String>,
+
+	/// Admin API authentication token file path, replaces admin.admin_token in config.toml
+	/// and admin-token when running the Garage daemon
+	#[structopt(long = "admin-token-file", env = "GARAGE_ADMIN_TOKEN_FILE")]
+	pub admin_token_file: Option<String>,
+
+	/// Metrics API authentication token, replaces admin.metrics_token in config.toml when
+	/// running the Garage daemon
+	#[structopt(long = "metrics-token", env = "GARAGE_METRICS_TOKEN")]
+	pub metrics_token: Option<String>,
+
+	/// Metrics API authentication token file path, replaces admin.metrics_token in config.toml
+	/// and metrics-token when running the Garage daemon
+	#[structopt(long = "metrics-token-file", env = "GARAGE_METRICS_TOKEN_FILE")]
+	pub metrics_token_file: Option<String>,
+}
+
+/// Single function to fill all secrets in the Config struct from their correct source (value
+/// from config or CLI param or env variable or read from a file specified in config or CLI
+/// param or env variable)
+pub fn fill_secrets(mut config: Config, secrets: Secrets) -> Result<Config, Error> {
+	let allow_world_readable = secrets
+		.allow_world_readable_secrets
+		.unwrap_or(config.allow_world_readable_secrets);
+
+	fill_secret(
+		&mut config.rpc_secret,
+		&config.rpc_secret_file,
+		&secrets.rpc_secret,
+		&secrets.rpc_secret_file,
+		"rpc_secret",
+		allow_world_readable,
+	)?;
+
+	fill_secret(
+		&mut config.admin.admin_token,
+		&config.admin.admin_token_file,
+		&secrets.admin_token,
+		&secrets.admin_token_file,
+		"admin.admin_token",
+		allow_world_readable,
+	)?;
+	fill_secret(
+		&mut config.admin.metrics_token,
+		&config.admin.metrics_token_file,
+		&secrets.metrics_token,
+		&secrets.metrics_token_file,
+		"admin.metrics_token",
+		allow_world_readable,
+	)?;
+
+	Ok(config)
+}
+
+fn fill_secret(
+	config_secret: &mut Option<String>,
+	config_secret_file: &Option<String>,
+	cli_secret: &Option<String>,
+	cli_secret_file: &Option<String>,
+	name: &'static str,
+	allow_world_readable: bool,
+) -> Result<(), Error> {
+	let cli_value = match (&cli_secret, &cli_secret_file) {
+		(Some(_), Some(_)) => {
+			return Err(format!("only one of `{}` and `{}_file` can be set", name, name).into());
+		}
+		(Some(secret), None) => Some(secret.to_string()),
+		(None, Some(file)) => Some(read_secret_file(file, allow_world_readable)?),
+		(None, None) => None,
+	};
+
+	if let Some(val) = cli_value {
+		if config_secret.is_some() || config_secret_file.is_some() {
+			debug!("Overriding secret `{}` using value specified using CLI argument or environnement variable.", name);
+		}
+
+		*config_secret = Some(val);
+	} else if let Some(file_path) = &config_secret_file {
+		if config_secret.is_some() {
+			return Err(format!("only one of `{}` and `{}_file` can be set", name, name).into());
+		}
+
+		*config_secret = Some(read_secret_file(file_path, allow_world_readable)?);
+	}
+
+	Ok(())
+}
+
+fn read_secret_file(file_path: &String, allow_world_readable: bool) -> Result<String, Error> {
+	if !allow_world_readable {
+		#[cfg(unix)]
+		{
+			use std::os::unix::fs::MetadataExt;
+			let metadata = std::fs::metadata(file_path)?;
+			if metadata.mode() & 0o077 != 0 {
+				return Err(format!("File {} is world-readable! (mode: 0{:o}, expected 0600)\nRefusing to start until this is fixed, or environment variable GARAGE_ALLOW_WORLD_READABLE_SECRETS is set to true.", file_path, metadata.mode()).into());
+			}
+		}
+	}
+
+	let secret_buf = std::fs::read_to_string(file_path)?;
+
+	// trim_end: allows for use case such as `echo "$(openssl rand -hex 32)" > somefile`.
+	//           also editors sometimes add a trailing newline
+	Ok(String::from(secret_buf.trim_end()))
+}
+
+#[cfg(test)]
+mod tests {
+	use std::fs::File;
+	use std::io::Write;
+
+	use garage_util::config::read_config;
+	use garage_util::error::Error;
+
+	use super::*;
+
+	#[test]
+	fn test_rpc_secret_file_works() -> Result<(), Error> {
+		let path_secret = mktemp::Temp::new_file()?;
+		let mut file_secret = File::create(path_secret.as_path())?;
+		writeln!(file_secret, "foo")?;
+		drop(file_secret);
+
+		let path_config = mktemp::Temp::new_file()?;
+		let mut file_config = File::create(path_config.as_path())?;
+		let path_secret_path = path_secret.as_path();
+		writeln!(
+			file_config,
+			r#"
+			metadata_dir = "/tmp/garage/meta"
+			data_dir = "/tmp/garage/data"
+			replication_mode = "3"
+			rpc_bind_addr = "[::]:3901"
+			rpc_secret_file = "{}"
+
+			[s3_api]
+			s3_region = "garage"
+			api_bind_addr = "[::]:3900"
+			"#,
+			path_secret_path.display()
+		)?;
+		drop(file_config);
+
+		// Second configuration file, same as previous one
+		// except it allows world-readable secrets.
+		let path_config_allow_world_readable = mktemp::Temp::new_file()?;
+		let mut file_config_allow_world_readable =
+			File::create(path_config_allow_world_readable.as_path())?;
+		writeln!(
+			file_config_allow_world_readable,
+			r#"
+			metadata_dir = "/tmp/garage/meta"
+			data_dir = "/tmp/garage/data"
+			replication_mode = "3"
+			rpc_bind_addr = "[::]:3901"
+			rpc_secret_file = "{}"
+			allow_world_readable_secrets = true
+
+			[s3_api]
+			s3_region = "garage"
+			api_bind_addr = "[::]:3900"
+			"#,
+			path_secret_path.display()
+		)?;
+		drop(file_config_allow_world_readable);
+
+		let config = read_config(path_config.to_path_buf())?;
+		let config = fill_secrets(config, Secrets::default())?;
+		assert_eq!("foo", config.rpc_secret.unwrap());
+
+		// ---- Check non world-readable secrets config ----
+		#[cfg(unix)]
+		{
+			let secrets_allow_world_readable = Secrets {
+				allow_world_readable_secrets: Some(true),
+				..Default::default()
+			};
+			let secrets_no_allow_world_readable = Secrets {
+				allow_world_readable_secrets: Some(false),
+				..Default::default()
+			};
+
+			use std::os::unix::fs::PermissionsExt;
+			let metadata = std::fs::metadata(&path_secret_path)?;
+			let mut perm = metadata.permissions();
+			perm.set_mode(0o660);
+			std::fs::set_permissions(&path_secret_path, perm)?;
+
+			// Config file that just specifies the path
+			let config = read_config(path_config.to_path_buf())?;
+			assert!(fill_secrets(config, Secrets::default()).is_err());
+
+			let config = read_config(path_config.to_path_buf())?;
+			assert!(fill_secrets(config, secrets_allow_world_readable.clone()).is_ok());
+
+			let config = read_config(path_config.to_path_buf())?;
+			assert!(fill_secrets(config, secrets_no_allow_world_readable.clone()).is_err());
+
+			// Config file that also specifies to allow world_readable_secrets
+			let config = read_config(path_config_allow_world_readable.to_path_buf())?;
+			assert!(fill_secrets(config, Secrets::default()).is_ok());
+
+			let config = read_config(path_config_allow_world_readable.to_path_buf())?;
+			assert!(fill_secrets(config, secrets_allow_world_readable).is_ok());
+
+			let config = read_config(path_config_allow_world_readable.to_path_buf())?;
+			assert!(fill_secrets(config, secrets_no_allow_world_readable).is_err());
+		}
+
+		// ---- Check alternative secrets specified on CLI ----
+
+		let path_secret2 = mktemp::Temp::new_file()?;
+		let mut file_secret2 = File::create(path_secret2.as_path())?;
+		writeln!(file_secret2, "bar")?;
+		drop(file_secret2);
+
+		let config = read_config(path_config.to_path_buf())?;
+		let config = fill_secrets(
+			config,
+			Secrets {
+				rpc_secret: Some("baz".into()),
+				..Default::default()
+			},
+		)?;
+		assert_eq!(config.rpc_secret.as_deref(), Some("baz"));
+
+		let config = read_config(path_config.to_path_buf())?;
+		let config = fill_secrets(
+			config,
+			Secrets {
+				rpc_secret_file: Some(path_secret2.display().to_string()),
+				..Default::default()
+			},
+		)?;
+		assert_eq!(config.rpc_secret.as_deref(), Some("bar"));
+
+		let config = read_config(path_config.to_path_buf())?;
+		assert!(fill_secrets(
+			config,
+			Secrets {
+				rpc_secret: Some("baz".into()),
+				rpc_secret_file: Some(path_secret2.display().to_string()),
+				..Default::default()
+			}
+		)
+		.is_err());
+
+		drop(path_secret);
+		drop(path_secret2);
+		drop(path_config);
+		drop(path_config_allow_world_readable);
+
+		Ok(())
+	}
+
+	#[test]
+	fn test_rcp_secret_and_rpc_secret_file_cannot_be_set_both() -> Result<(), Error> {
+		let path_config = mktemp::Temp::new_file()?;
+		let mut file_config = File::create(path_config.as_path())?;
+		writeln!(
+			file_config,
+			r#"
+			metadata_dir = "/tmp/garage/meta"
+			data_dir = "/tmp/garage/data"
+			replication_mode = "3"
+			rpc_bind_addr = "[::]:3901"
+			rpc_secret= "dummy"
+			rpc_secret_file = "dummy"
+
+			[s3_api]
+			s3_region = "garage"
+			api_bind_addr = "[::]:3900"
+			"#
+		)?;
+		let config = read_config(path_config.to_path_buf())?;
+		assert_eq!(
+			"only one of `rpc_secret` and `rpc_secret_file` can be set",
+			fill_secrets(config, Secrets::default())
+				.unwrap_err()
+				.to_string()
+		);
+		drop(path_config);
+		drop(file_config);
+		Ok(())
+	}
+}
@@ -15,9 +15,9 @@ use garage_web::WebServer;
 use garage_api::k2v::api_server::K2VApiServer;

 use crate::admin::*;
+use crate::secrets::{fill_secrets, Secrets};
 #[cfg(feature = "telemetry-otlp")]
 use crate::tracing_setup::*;
-use crate::{fill_secrets, Secrets};

 async fn wait_from(mut chan: watch::Receiver<bool>) {
 	while !*chan.borrow() {
@@ -29,12 +29,19 @@ async fn wait_from(mut chan: watch::Receiver<bool>) {

 pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Error> {
 	info!("Loading configuration...");
-	let config = fill_secrets(read_config(config_file)?, secrets);
+	let config = fill_secrets(read_config(config_file)?, secrets)?;

 	// ---- Initialize Garage internals ----

 	#[cfg(feature = "metrics")]
-	let metrics_exporter = opentelemetry_prometheus::exporter().init();
+	let metrics_exporter = opentelemetry_prometheus::exporter()
+		.with_default_summary_quantiles(vec![0.25, 0.5, 0.75, 0.9, 0.95, 0.99])
+		.with_default_histogram_boundaries(vec![
+			0.001, 0.0015, 0.002, 0.003, 0.005, 0.007, 0.01, 0.015, 0.02, 0.03, 0.05, 0.07, 0.1,
+			0.15, 0.2, 0.3, 0.5, 0.7, 1., 1.5, 2., 3., 5., 7., 10., 15., 20., 30., 40., 50., 60.,
+			70., 100.,
+		])
+		.init();

 	info!("Initializing Garage main data store...");
 	let garage = Garage::new(config.clone())?;
@@ -79,7 +86,7 @@ pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Er
 			"S3 API",
 			tokio::spawn(S3ApiServer::run(
 				garage.clone(),
-				*s3_bind_addr,
+				s3_bind_addr.clone(),
 				config.s3_api.s3_region.clone(),
 				wait_from(watch_cancel.clone()),
 			)),
@@ -94,7 +101,7 @@ pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Er
 				"K2V API",
 				tokio::spawn(K2VApiServer::run(
 					garage.clone(),
-					config.k2v_api.as_ref().unwrap().api_bind_addr,
+					config.k2v_api.as_ref().unwrap().api_bind_addr.clone(),
 					config.s3_api.s3_region.clone(),
 					wait_from(watch_cancel.clone()),
 				)),
@@ -110,7 +117,7 @@ pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Er
 			"Web",
 			tokio::spawn(WebServer::run(
 				garage.clone(),
-				web_config.bind_addr,
+				web_config.bind_addr.clone(),
 				web_config.root_domain.clone(),
 				wait_from(watch_cancel.clone()),
 			)),
@@ -121,7 +128,9 @@ pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Er
 		info!("Launching Admin API server...");
 		servers.push((
 			"Admin",
-			tokio::spawn(admin_server.run(*admin_bind_addr, wait_from(watch_cancel.clone()))),
+			tokio::spawn(
+				admin_server.run(admin_bind_addr.clone(), wait_from(watch_cancel.clone())),
+			),
 		));
 	}

@@ -130,20 +139,27 @@ pub async fn run_server(config_file: PathBuf, secrets: Secrets) -> Result<(), Er
 		warn!("This Garage version is built without the metrics feature");
 	}

-	// Stuff runs
+	if servers.is_empty() {
+		// Nothing runs except netapp (not in servers)
+		// Await shutdown signal before proceeding to shutting down netapp
+		wait_from(watch_cancel).await;
+	} else {
+		// Stuff runs

-	// When a cancel signal is sent, stuff stops
+		// When a cancel signal is sent, stuff stops

-	// Collect stuff
-	for (desc, join_handle) in servers {
-		if let Err(e) = join_handle.await? {
-			error!("{} server exited with error: {}", desc, e);
-		} else {
-			info!("{} server exited without error.", desc);
+		// Collect stuff
+		for (desc, join_handle) in servers {
+			if let Err(e) = join_handle.await? {
+				error!("{} server exited with error: {}", desc, e);
+			} else {
+				info!("{} server exited without error.", desc);
+			}
 		}
 	}

 	// Remove RPC handlers for system to break reference cycles
+	info!("Deregistering RPC handlers for shutdown...");
 	garage.system.netapp.drop_all_handlers();
 	opentelemetry::global::shutdown_tracer_provider();

--- a/Show More
+++ b/Show More
Author	SHA1	Message	Date
Alex	083e982f5f	Merge pull request 'Garage v0.8.5' (#687 ) from rel-0.8.5 into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/687	2024-01-16 10:30:54 +00:00
Alex Auvolat	50643e61bf	Bump version to 0.8.5	2024-01-16 10:47:33 +01:00
Alex	a6421ee5a5	Merge pull request 'monitoring: finer histogram boundaries in prometheus metrics (fix #531 )' (#686 ) from fix-531 into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/686	2024-01-15 16:44:58 +00:00
Alex	993ce74976	Merge pull request '0.8.x: config: refactor secret sourcing' (#685 ) from secret-sourcing into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/685	2024-01-15 16:41:50 +00:00
Alex Auvolat	f512609123	monitoring: finer histogram boundaries in prometheus metrics (fix #531 )	2024-01-15 17:33:35 +01:00
Alex Auvolat	97bae7213a	config: additional tests for secret sourcing	2024-01-15 17:30:30 +01:00
Alex Auvolat	7228695ee2	config: refactor secret sourcing	2024-01-15 17:18:46 +01:00
Alex	ee7fe27d3d	Merge pull request 'Add allow_world_readable_secrets option to config file' (#663 ) from PicNoir/garage:nin/world-readable-conf-file into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/663	2024-01-15 15:20:16 +00:00
Félix Baylac Jacqué	f83fa02193	Add allow_world_readable_secrets option to config file Sometimes, the secret files permissions checks gets in the way. It's by no mean complete, it doesn't take the Posix ACLs into account among other things. Correctly checking the ACLs would be too involving (see https://git.deuxfleurs.fr/Deuxfleurs/garage/issues/658#issuecomment-7102) and would likely still fail in some weird chmod settings. We're adding a new configuration file key allowing the user to disable this permission check altogether. The (already existing) env variable counterpart always take precedence to this config file option. That's useful in cases where the configuration file is static and cannot be easily altered. Fixes https://git.deuxfleurs.fr/Deuxfleurs/garage/issues/658 Co-authored-by: Florian Klink <flokli@flokli.de>	2023-10-26 18:25:13 +02:00
Alex	4b3dee2ca3	Merge pull request 's3 api: add missing CORS headers to PostObject responses (fix #609 )' (#656 ) from fix-cors-post-object into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/656	2023-10-26 09:17:14 +00:00
Alex Auvolat	ac04934dae	s3 api: add missing CORS headers to PostObject responses (fix #609 )	2023-10-20 10:37:48 +02:00
Alex	0215b11402	Merge pull request 'Add support for specifying `rpc_secret_file`, `metrics_token_file` and `admin_token_file` using environment variables' (#643 ) from networkException/garage:token-file-env into main-0.8.x Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/643	2023-10-19 09:33:12 +00:00
networkException	8599051c49	garage: support specifying token / secret as environment variables this patch adds support for specifying the `rpc_secret_file`, `metrics_token_file` and `admin_token_file` as environment variables.	2023-10-19 03:39:02 +02:00
networkException	4a19ee94bb	garage: fix admin-token description	2023-10-19 03:31:50 +02:00
networkException	c99cb58d71	util: move reading secret file into seperate helper this patch moves the logic to read a secret file (and check for correct permissions) from `secret_from_file` into a new `read_secret_file` helper.	2023-10-19 03:29:48 +02:00
networkException	5feb6a1f64	docs: add documentation for specifying token / secret file as environment variables	2023-10-19 03:28:44 +02:00
Alex	e75fe2157d	Merge pull request 'Move convert_db command into main garage binary' (#645 ) from convert-db-main-binary into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/645	2023-10-10 11:42:14 +00:00
Alex Auvolat	2d5d7a7031	Move convert_db command into main garage binary	2023-10-10 12:13:15 +02:00
Alex	1243db87f2	Merge pull request 'Add support for binding to unix domain sockets' (#640 ) from networkException/garage:unix-sockets into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/640	2023-10-03 16:23:02 +00:00
networkException	6f8a87814b	doc: add documentation for specifying unix socket paths	2023-10-03 17:56:34 +02:00
networkException	7907a09acc	api: allow custom unix bind mode and use 0o220 for admin server	2023-10-03 17:31:40 +02:00
Alex	16aa418e47	Merge pull request 'doc: update endpoint_url documentation' (#641 ) from flokli/garage:aws-endpoint-url into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/641	2023-10-02 14:30:53 +00:00
Florian Klink	cb359b4434	doc: update endpoint_url documentation Since `awscli` `>=1.29.0` or `>=2.13.0` it is now possible to use the `AWS_ENDPOINT_URL` environment variable, or the `endpoint_url` config key to override the endpoint URL. This means, the aws bash function to wrap with --endpoint-url is not necessary anymore. Update invocations to reflect that. https://docs.aws.amazon.com/sdkref/latest/guide/feature-ss-endpoints.html https://github.com/aws/aws-cli/issues/4454#issuecomment-1626116607	2023-10-02 17:16:11 +03:00
networkException	8ec6a53b35	everywhere: support unix sockets when binding in various places this patch implements binding to paths as a unix socket for generic server and web server.	2023-09-29 18:57:44 +02:00
networkException	7353038a64	config: allow using paths for unix domain sockets in various places this patch updates the config format to also allow paths in bind addresses for unix domain sockets. this has been added to all apis except rpc.	2023-09-29 18:38:30 +02:00
networkException	10195f1567	util: add helper sum type for unix and tcp socket addresses this patch introduces a new sum type that can represent either a tcp socket address or a unix domain socket path.	2023-09-29 18:37:36 +02:00
networkException	6086a3fa07	cargo: add hyperlocal as a dependency	2023-09-29 18:37:12 +02:00
Alex	3a0e074047	Merge pull request 'prez-ocp' (#636 ) from prez-ocp into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/636	2023-09-21 08:15:10 +00:00
Alex Auvolat	95ae09917b	add ocp2023 presentation	2023-09-19 14:02:07 +02:00
Alex Auvolat	a7ababb5db	doc: update sticker	2023-09-18 16:40:06 +02:00
Alex	be1a16b42b	Merge pull request 'Fix multiple shutdown issues' (#633 ) from fix-shutdown into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/633	2023-09-12 12:54:50 +00:00
Alex Auvolat	91e764a2bf	fix hang on shutdown	2023-09-12 14:35:48 +02:00
Alex Auvolat	aa79810596	Fix error when none of S3/K2V/WEB/ADMIN server is started (fix #613 )	2023-09-12 14:35:19 +02:00
Alex	143a349f55	Merge pull request 'fix 32-bit build' (#632 ) from fix-32bit into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/632	2023-09-11 21:08:26 +00:00
Alex Auvolat	9cfe55ab60	fix 32-bit build	2023-09-11 20:01:29 +02:00
Alex	2548a247f2	Merge pull request 'use statvfs instead of mount list to determine free data/meta space (fix #611 )' (#631 ) from fix-free-space into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/631	2023-09-11 17:29:23 +00:00
Alex Auvolat	d5bb50d738	use statvfs instead of mount list to determine free data/meta space (fix #611 )	2023-09-11 19:08:24 +02:00
Alex	fc635f7072	Merge pull request 'make lmdb's map_size configurable (fix #628 )' (#630 ) from configurable-map-size into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/630	2023-09-11 16:48:14 +00:00
Alex Auvolat	f8b3883611	config: make block_size and sled_cache_capacity expressable as strings	2023-09-11 18:34:59 +02:00
Alex Auvolat	51b9731a08	make lmdb's map_size configurable (fix #628 )	2023-09-11 18:03:44 +02:00
Alex	5f86b48f97	Merge pull request 'Revert netapp to 0.5.2 to avoid rmp-serde upgrade that breaks things' (#627 ) from hold-netapp-0.5.2 into main Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/627	2023-09-05 22:08:40 +00:00