Merge branch 'main' into next

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
2026-08-14 16:13:11 +00:00 · 2023-10-03 18:40:37 +02:00 · 2023-10-03 16:23:02 +00:00 · 2023-10-03 17:56:34 +02:00 · 2023-10-03 17:31:40 +02:00 · 2023-10-02 14:30:53 +00:00
122 changed files with 20703 additions and 367 deletions
@@ -42,6 +42,12 @@ steps:
      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
      - nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)

+  - name: upgrade tests
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
+      - nix-shell --attr integration --run "./script/test-upgrade.sh v0.8.4 x86_64-unknown-linux-musl" || (cat /tmp/garage.log; false)
+
 trigger:
  event:
  - custom
@@ -285,6 +291,6 @@ trigger:

 ---
 kind: signature
-hmac: 24aebbcdba84fd0cdf963061d7bb72ae5b915bfdd0f50c7b019001126fb7fa56
+hmac: dcf68ed6536e3fd9b359377e4c6c1d321fa9cc0f6fe5645d69c8f1d604569b4c

 ...
@@ -1271,6 +1271,7 @@ dependencies = [
 "http-range",
 "httpdate",
 "hyper",
+ "hyperlocal",
 "idna",
 "md-5",
 "multer",
@@ -1370,6 +1371,7 @@ dependencies = [
 "bytes",
 "bytesize",
 "err-derive",
+ "format_table",
 "futures",
 "futures-util",
 "garage_db",
@@ -1463,8 +1465,10 @@ dependencies = [
 "garage_util",
 "http",
 "hyper",
+ "hyperlocal",
 "opentelemetry",
 "percent-encoding",
+ "tokio",
 "tracing",
 ]

@@ -1774,6 +1778,19 @@ 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"
@@ -2271,9 +2288,9 @@ checksum = "e5ce46fe64a9d73be07dcbe690a38ce1b293be448fd8ce1e6c1b8062c9f72c6a"

 [[package]]
 name = "netapp"
-version = "0.5.2"
+version = "0.10.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "4ffe47ac46d3b2ce2f736a70865492df082e042eb2bfdddfca3b8dd66bd9469d"
+checksum = "0a00b76cec93e3ae68c9ed5f08e27a1507424987ee23d5ec961ebd4da820a265"
 dependencies = [
 "arc-swap",
 "async-trait",
@@ -3020,9 +3037,9 @@ dependencies = [

 [[package]]
 name = "rmp-serde"
-version = "0.15.5"
+version = "1.1.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "723ecff9ad04f4ad92fe1c8ca6c20d2196d9286e9c60727c4cb5511629260e9d"
+checksum = "bffea85eea980d8a74453e5d02a8d93028f3c34725de143085a844ebe953258a"
 dependencies = [
 "byteorder",
 "rmp",
@@ -7,13 +7,13 @@ args@{
    "garage_db/default"
    "garage_util/default"
    "garage_rpc/default"
+    "format_table/default"
    "garage_table/default"
    "garage_block/default"
    "garage_model/default"
    "garage_api/default"
    "garage_web/default"
    "garage/default"
-    "format_table/default"
    "k2v-client/default"
  ],
  rustPackages,
@@ -33,7 +33,7 @@ args@{
  ignoreLockHash,
 }:
 let
-  nixifiedLockHash = "7bef0004fa84feec502c75d50632d54202c272d56d2549fc09e2a356141685bb";
+  nixifiedLockHash = "3f325a8a549c43a788ff702e65f6de2d42ad19a46067248e29108e90212ca2f5";
  workspaceSrc = if args.workspaceSrc == null then ./. else args.workspaceSrc;
  currentLockHash = builtins.hashFile "sha256" (workspaceSrc + /Cargo.lock);
  lockHashIgnored = if ignoreLockHash
@@ -60,13 +60,13 @@ in
    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";
+    format_table = rustPackages.unknown.format_table."0.1.1";
    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";
-    format_table = rustPackages.unknown.format_table."0.1.1";
    k2v-client = rustPackages.unknown.k2v-client."0.0.4";
  };
  "registry+https://github.com/rust-lang/crates.io-index".addr2line."0.21.0" = overridableMkRustCrate (profileName: rec {
@@ -1745,7 +1745,7 @@ in
      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;
-      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.5.2" { inherit profileName; }).out;
+      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.10.0" { inherit profileName; }).out;
      opentelemetry = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry."0.17.0" { inherit profileName; }).out;
      ${ if rootFeatures' ? "garage/opentelemetry-otlp" || rootFeatures' ? "garage/telemetry-otlp" then "opentelemetry_otlp" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry-otlp."0.10.0" { inherit profileName; }).out;
      ${ if rootFeatures' ? "garage/default" || rootFeatures' ? "garage/metrics" || rootFeatures' ? "garage/opentelemetry-prometheus" then "opentelemetry_prometheus" else null } = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry-prometheus."0.10.0" { inherit profileName; }).out;
@@ -1809,6 +1809,7 @@ in
      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;
@@ -1922,7 +1923,7 @@ in
      garage_table = (rustPackages."unknown".garage_table."0.8.4" { inherit profileName; }).out;
      garage_util = (rustPackages."unknown".garage_util."0.8.4" { 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;
+      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.10.0" { 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;
      serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde."1.0.188" { inherit profileName; }).out;
@@ -1954,6 +1955,7 @@ in
      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;
      ${ 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;
+      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_db = (rustPackages."unknown".garage_db."0.8.4" { inherit profileName; }).out;
@@ -1964,7 +1966,7 @@ in
      ${ 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;
+      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.10.0" { 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;
@@ -2029,10 +2031,10 @@ 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;
      lazy_static = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".lazy_static."1.4.0" { inherit profileName; }).out;
-      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.5.2" { inherit profileName; }).out;
+      netapp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".netapp."0.10.0" { 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;
-      rmp_serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rmp-serde."0.15.5" { inherit profileName; }).out;
+      rmp_serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rmp-serde."1.1.2" { inherit profileName; }).out;
      serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde."1.0.188" { 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;
@@ -2063,8 +2065,10 @@ in
      garage_util = (rustPackages."unknown".garage_util."0.8.4" { 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;
    };
  });
@@ -2490,6 +2494,23 @@ 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";
@@ -3202,11 +3223,11 @@ in
    src = fetchCratesIo { inherit name version; sha256 = "e5ce46fe64a9d73be07dcbe690a38ce1b293be448fd8ce1e6c1b8062c9f72c6a"; };
  });
  
-  "registry+https://github.com/rust-lang/crates.io-index".netapp."0.5.2" = overridableMkRustCrate (profileName: rec {
+  "registry+https://github.com/rust-lang/crates.io-index".netapp."0.10.0" = overridableMkRustCrate (profileName: rec {
    name = "netapp";
-    version = "0.5.2";
+    version = "0.10.0";
    registry = "registry+https://github.com/rust-lang/crates.io-index";
-    src = fetchCratesIo { inherit name version; sha256 = "4ffe47ac46d3b2ce2f736a70865492df082e042eb2bfdddfca3b8dd66bd9469d"; };
+    src = fetchCratesIo { inherit name version; sha256 = "0a00b76cec93e3ae68c9ed5f08e27a1507424987ee23d5ec961ebd4da820a265"; };
    features = builtins.concatLists [
      [ "default" ]
      [ "opentelemetry" ]
@@ -3228,7 +3249,7 @@ in
      opentelemetry_contrib = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".opentelemetry-contrib."0.9.0" { inherit profileName; }).out;
      pin_project = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".pin-project."1.1.3" { inherit profileName; }).out;
      rand = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rand."0.8.5" { inherit profileName; }).out;
-      rmp_serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rmp-serde."0.15.5" { inherit profileName; }).out;
+      rmp_serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rmp-serde."1.1.2" { inherit profileName; }).out;
      serde = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".serde."1.0.188" { 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;
@@ -4293,11 +4314,11 @@ in
    };
  });
  
-  "registry+https://github.com/rust-lang/crates.io-index".rmp-serde."0.15.5" = overridableMkRustCrate (profileName: rec {
+  "registry+https://github.com/rust-lang/crates.io-index".rmp-serde."1.1.2" = overridableMkRustCrate (profileName: rec {
    name = "rmp-serde";
-    version = "0.15.5";
+    version = "1.1.2";
    registry = "registry+https://github.com/rust-lang/crates.io-index";
-    src = fetchCratesIo { inherit name version; sha256 = "723ecff9ad04f4ad92fe1c8ca6c20d2196d9286e9c60727c4cb5511629260e9d"; };
+    src = fetchCratesIo { inherit name version; sha256 = "bffea85eea980d8a74453e5d02a8d93028f3c34725de143085a844ebe953258a"; };
    dependencies = {
      byteorder = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".byteorder."1.4.3" { inherit profileName; }).out;
      rmp = (rustPackages."registry+https://github.com/rust-lang/crates.io-index".rmp."0.8.12" { inherit profileName; }).out;
@@ -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 $@ ; }
@@ -9,18 +9,30 @@ a certain capacity, or a gateway node that does not store data and is only
 used as an API entry point for faster cluster access.
 An introduction to building cluster layouts can be found in the [production deployment](@/documentation/cookbook/real-world.md) page.

+In Garage, all of the data that can be stored in a given cluster is divided
+into slices which we call *partitions*. Each partition is stored by
+one or several nodes in the cluster
+(see [`replication_mode`](@/documentation/reference-manual/configuration.md#replication-mode)).
+The layout determines the correspondence between these partition,
+which exist on a logical level, and actual storage nodes.
+
 ## How cluster layouts work in Garage

-In Garage, a cluster layout is composed of the following components:
+A cluster layout is composed of the following components:

- a table of roles assigned to nodes
+- a table of roles assigned to nodes, defined by the user
+- an optimal assignation of partitions to nodes, computed by an algorithm that is ran once when calling `garage layout apply` or the ApplyClusterLayout API endpoint
 - a version number

 Garage nodes will always use the cluster layout with the highest version number.

 Garage nodes also maintain and synchronize between them a set of proposed role
 changes that haven't yet been applied. These changes will be applied (or
-canceled) in the next version of the layout
+canceled) in the next version of the layout.
+
+All operations on the layout can be realized using the `garage` CLI or using the
+[administration API endpoint](@/documentation/reference-manual/admin-api.md).
+We give here a description of CLI commands, the admin API semantics are very similar.

 The following commands insert modifications to the set of proposed role changes
 for the next layout version (but they do not create the new layout immediately):
@@ -51,7 +63,7 @@ commands will fail otherwise.

 ## Warnings about Garage cluster layout management

-**Warning: never make several calls to `garage layout apply` or `garage layout
+**⚠️ Never make several calls to `garage layout apply` or `garage layout
 revert` with the same value of the `--version` flag. Doing so can lead to the
 creation of several different layouts with the same version number, in which
 case your Garage cluster will become inconsistent until fixed.** If a call to
@@ -65,13 +77,198 @@ shell, you shouldn't have much issues as long as you run commands one after
 the other and take care of checking the output of `garage layout show`
 before applying any changes.

-If you are using the `garage` CLI to script layout changes, follow the following recommendations:
+If you are using the `garage` CLI or the admin API to script layout changes,
+follow the following recommendations:

- Make all of your `garage` CLI calls to the same RPC host. Do not use the
-  `garage` CLI to connect to individual nodes to send them each a piece of the
-  layout changes you are making, as the changes propagate asynchronously
-  between nodes and might not all be taken into account at the time when the
-  new layout is applied.
+- If using the CLI, make all of your `garage` CLI calls to the same RPC host.
+  If using the admin API, make all of your API calls to the same Garage node. Do
+  not connect to individual nodes to send them each a piece of the layout changes
+  you are making, as the changes propagate asynchronously between nodes and might
+  not all be taken into account at the time when the new layout is applied.

- **Only call `garage layout apply` once**, and call it **strictly after** all
-  of the `layout assign` and `layout remove` commands have returned.
+- **Only call `garage layout apply`/ApplyClusterLayout once**, and call it
+  **strictly after** all of the `layout assign` and `layout remove`
+  commands/UpdateClusterLayout API calls have returned.
+
+
+## Understanding unexpected layout calculations
+
+When adding, removing or modifying nodes in a cluster layout, sometimes
+unexpected assigntations of partitions to node can occur. These assignations
+are in fact normal and logical, given the objectives of the algorihtm.  Indeed,
+**the layout algorithm prioritizes moving less data between nodes over the fact
+of achieving equal distribution of load. It also tries to use all links between
+pairs of nodes in equal proportions when moving data.**  This section presents
+two examples and illustrates how one can control Garage's behavior to obtain
+the desired results.
+
+### Example 1
+
+In this example, a cluster is originally composed of 3 nodes in 3 different
+zones (data centers).  The three nodes are of equal capacity, therefore they
+are all fully exploited and all store a copy of all of the data in the cluster.
+
+Then, a fourth node of the same size is added in the datacenter `dc1`.
+As illustrated by the following, **Garage will by default not store any data on the new node**:
+
+```
+$ garage layout show
+==== CURRENT CLUSTER LAYOUT ====
+ID                Tags   Zone  Capacity   Usable capacity
+b10c110e4e854e5a  node1  dc1   1000.0 MB  1000.0 MB (100.0%)
+a235ac7695e0c54d  node2  dc2   1000.0 MB  1000.0 MB (100.0%)
+62b218d848e86a64  node3  dc3   1000.0 MB  1000.0 MB (100.0%)
+
+Zone redundancy: maximum
+
+Current cluster layout version: 6
+
+==== STAGED ROLE CHANGES ====
+ID                Tags   Zone  Capacity
+a11c7cf18af29737  node4  dc1   1000.0 MB
+
+
+==== NEW CLUSTER LAYOUT AFTER APPLYING CHANGES ====
+ID                Tags   Zone  Capacity   Usable capacity
+b10c110e4e854e5a  node1  dc1   1000.0 MB  1000.0 MB (100.0%)
+a11c7cf18af29737  node4  dc1   1000.0 MB  0 B (0.0%)
+a235ac7695e0c54d  node2  dc2   1000.0 MB  1000.0 MB (100.0%)
+62b218d848e86a64  node3  dc3   1000.0 MB  1000.0 MB (100.0%)
+
+Zone redundancy: maximum
+
+==== COMPUTATION OF A NEW PARTITION ASSIGNATION ====
+
+Partitions are replicated 3 times on at least 3 distinct zones.
+
+Optimal partition size:                     3.9 MB (3.9 MB in previous layout)
+Usable capacity / total cluster capacity:   3.0 GB / 4.0 GB (75.0 %)
+Effective capacity (replication factor 3):  1000.0 MB
+
+A total of 0 new copies of partitions need to be transferred.
+
+dc1                 Tags   Partitions        Capacity   Usable capacity
+  b10c110e4e854e5a  node1  256 (0 new)       1000.0 MB  1000.0 MB (100.0%)
+  a11c7cf18af29737  node4  0 (0 new)         1000.0 MB  0 B (0.0%)
+  TOTAL                    256 (256 unique)  2.0 GB     1000.0 MB (50.0%)
+
+dc2                 Tags   Partitions        Capacity   Usable capacity
+  a235ac7695e0c54d  node2  256 (0 new)       1000.0 MB  1000.0 MB (100.0%)
+  TOTAL                    256 (256 unique)  1000.0 MB  1000.0 MB (100.0%)
+
+dc3                 Tags   Partitions        Capacity   Usable capacity
+  62b218d848e86a64  node3  256 (0 new)       1000.0 MB  1000.0 MB (100.0%)
+  TOTAL                    256 (256 unique)  1000.0 MB  1000.0 MB (100.0%)
+```
+
+While unexpected, this is logical because of the following facts:
+
+- storing some data on the new node does not help increase the total quantity
+  of data that can be stored on the cluster, as the two other zones (`dc2` and
+  `dc3`) still need to store a full copy of everything, and their capacity is
+  still the same;
+
+- there is therefore no need to move any data on the new node as this would be pointless;
+
+- moving data to the new node has a cost which the algorithm decides to not pay if not necessary.
+
+This distribution of data can however not be what the administrator wanted: if
+they added a new node to `dc1`, it might be because the existing node is too
+slow, and they wish to divide its load by half. In that case, what they need to
+do to force Garage to distribute the data between the two nodes is to attribute
+only half of the capacity to each node in `dc1` (in our example, 500M instead of 1G).
+In that case, Garage would determine that to be able to store 1G in total, it
+would need to store 500M on the old node and 500M on the added one.
+
+
+### Example 2
+
+The following example is a slightly different scenario, where `dc1` had two
+nodes that were used at 50%, and `dc2` and `dc3` each have one node that is
+100% used. All node capacities are the same.
+
+Then, a node from `dc1` is moved into `dc3`. One could expect that the roles of
+`dc1` and `dc3` would simply be swapped: the remaining node in `dc1` would be
+used at 100%, and the two nodes now in `dc3` would be used at 50%. Instead,
+this happens:
+
+```
+==== CURRENT CLUSTER LAYOUT ====
+ID                Tags   Zone  Capacity   Usable capacity
+b10c110e4e854e5a  node1  dc1   1000.0 MB  500.0 MB (50.0%)
+a11c7cf18af29737  node4  dc1   1000.0 MB  500.0 MB (50.0%)
+a235ac7695e0c54d  node2  dc2   1000.0 MB  1000.0 MB (100.0%)
+62b218d848e86a64  node3  dc3   1000.0 MB  1000.0 MB (100.0%)
+
+Zone redundancy: maximum
+
+Current cluster layout version: 8
+
+==== STAGED ROLE CHANGES ====
+ID                Tags   Zone  Capacity
+a11c7cf18af29737  node4  dc3   1000.0 MB
+
+
+==== NEW CLUSTER LAYOUT AFTER APPLYING CHANGES ====
+ID                Tags   Zone  Capacity   Usable capacity
+b10c110e4e854e5a  node1  dc1   1000.0 MB  1000.0 MB (100.0%)
+a235ac7695e0c54d  node2  dc2   1000.0 MB  1000.0 MB (100.0%)
+62b218d848e86a64  node3  dc3   1000.0 MB  753.9 MB (75.4%)
+a11c7cf18af29737  node4  dc3   1000.0 MB  246.1 MB (24.6%)
+
+Zone redundancy: maximum
+
+==== COMPUTATION OF A NEW PARTITION ASSIGNATION ====
+
+Partitions are replicated 3 times on at least 3 distinct zones.
+
+Optimal partition size:                     3.9 MB (3.9 MB in previous layout)
+Usable capacity / total cluster capacity:   3.0 GB / 4.0 GB (75.0 %)
+Effective capacity (replication factor 3):  1000.0 MB
+
+A total of 128 new copies of partitions need to be transferred.
+
+dc1                 Tags   Partitions        Capacity   Usable capacity
+  b10c110e4e854e5a  node1  256 (128 new)     1000.0 MB  1000.0 MB (100.0%)
+  TOTAL                    256 (256 unique)  1000.0 MB  1000.0 MB (100.0%)
+
+dc2                 Tags   Partitions        Capacity   Usable capacity
+  a235ac7695e0c54d  node2  256 (0 new)       1000.0 MB  1000.0 MB (100.0%)
+  TOTAL                    256 (256 unique)  1000.0 MB  1000.0 MB (100.0%)
+
+dc3                 Tags   Partitions        Capacity   Usable capacity
+  62b218d848e86a64  node3  193 (0 new)       1000.0 MB  753.9 MB (75.4%)
+  a11c7cf18af29737  node4  63 (0 new)        1000.0 MB  246.1 MB (24.6%)
+  TOTAL                    256 (256 unique)  2.0 GB     1000.0 MB (50.0%)
+```
+
+As we can see, the node that was moved to `dc3` (node4) is only used at 25% (approximatively),
+whereas the node that was already in `dc3` (node3) is used at 75%.
+
+This can be explained by the following:
+
+- node1 will now be the only node remaining in `dc1`, thus it has to store all
+  of the data in the cluster. Since it was storing only half of it before, it has
+  to retrieve the other half from other nodes in the cluster.
+
+- The data which it does not have is entirely stored by the other node that was
+  in `dc1` and that is now in `dc3` (node4). There is also a copy of it on node2
+  and node3 since both these nodes have a copy of everything.
+
+- node3 and node4 are the two nodes that will now be in a datacenter that is
+ under-utilized (`dc3`), this means that those are the two candidates from which
+ data can be removed to be moved to node1.
+
+- Garage will move data in equal proportions from all possible sources, in this
+  case it means that it will tranfer 25% of the entire data set from node3 to
+  node1 and another 25% from node4 to node1.
+
+This explains why node3 ends with 75% utilization (100% from before minus 25%
+that is moved to node1), and node4 ends with 25% (50% from before minus 25%
+that is moved to node1).
+
+This illustrates the second principle of the layout computation: **if there is
+a choice in moving data out of some nodes, then all links between pairs of
+nodes are used in equal proportions** (this is approximately true, there is
+randomness in the algorihtm to achieve this so there might be some small
+fluctuations, as we see above).
@@ -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
@@ -468,6 +468,8 @@ 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.
@@ -497,6 +499,8 @@ 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.
@@ -516,6 +520,9 @@ 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.

+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` (env)

 The token for accessing the Metrics endpoint. If this token is not set, the
@@ -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>
@@ -9,11 +9,22 @@ GARAGE_RELEASE="${REPO_FOLDER}/target/release/"
 NIX_RELEASE="${REPO_FOLDER}/result/bin/"
 PATH="${GARAGE_DEBUG}:${GARAGE_RELEASE}:${NIX_RELEASE}:$PATH"

-garage -c /tmp/config.1.toml bucket create eprouvette
-KEY_INFO=$(garage -c /tmp/config.1.toml key create opérateur)
+if [ -z "$GARAGE_BIN" ]; then
+	GARAGE_BIN=$(which garage || exit 1)
+	echo -en "Found garage at: ${GARAGE_BIN}\n"
+else
+	echo -en "Using garage binary at: ${GARAGE_BIN}\n"
+fi
+
+$GARAGE_BIN -c /tmp/config.1.toml bucket create eprouvette
+if [ "$GARAGE_08" = "1" ]; then
+	KEY_INFO=$($GARAGE_BIN -c /tmp/config.1.toml key new --name opérateur)
+else
+	KEY_INFO=$($GARAGE_BIN -c /tmp/config.1.toml key create opérateur)
+fi
 ACCESS_KEY=`echo $KEY_INFO|grep -Po 'GK[a-f0-9]+'`
 SECRET_KEY=`echo $KEY_INFO|grep -Po 'Secret key: [a-f0-9]+'|grep -Po '[a-f0-9]+$'`
-garage -c /tmp/config.1.toml bucket allow eprouvette --read --write --owner --key $ACCESS_KEY
+$GARAGE_BIN -c /tmp/config.1.toml bucket allow eprouvette --read --write --owner --key $ACCESS_KEY
 echo "$ACCESS_KEY $SECRET_KEY" > /tmp/garage.s3

 echo "Bucket s3://eprouvette created. Credentials stored in /tmp/garage.s3."
@@ -14,8 +14,13 @@ export RUST_BACKTRACE=1
 export RUST_LOG=garage=info,garage_api=debug
 MAIN_LABEL="\e[${FANCYCOLORS[0]}[main]\e[49m"

-WHICH_GARAGE=$(which garage || exit 1)
-echo -en "${MAIN_LABEL} Found garage at: ${WHICH_GARAGE}\n"
+if [ -z "$GARAGE_BIN" ]; then
+	GARAGE_BIN=$(which garage || exit 1)
+	echo -en "${MAIN_LABEL} Found garage at: ${GARAGE_BIN}\n"
+else
+	echo -en "${MAIN_LABEL} Using garage binary at: ${GARAGE_BIN}\n"
+fi
+$GARAGE_BIN --version

 NETWORK_SECRET="$(openssl rand -hex 32)"

@@ -28,6 +33,7 @@ LABEL="\e[${FANCYCOLORS[$count]}[$count]\e[49m"
 cat > $CONF_PATH <<EOF
 block_size = 1048576			# objects are split in blocks of maximum this number of bytes
 metadata_dir = "/tmp/garage-meta-$count"
+db_engine = "lmdb"
 data_dir = "/tmp/garage-data-$count"
 rpc_bind_addr = "0.0.0.0:$((3900+$count))"		# the port other Garage nodes will use to talk to this node
 rpc_public_addr = "127.0.0.1:$((3900+$count))"
@@ -51,7 +57,7 @@ EOF

 echo -en "$LABEL configuration written to $CONF_PATH\n"

-(garage -c /tmp/config.$count.toml server 2>&1|while read r; do echo -en "$LABEL $r\n"; done) &
+($GARAGE_BIN -c /tmp/config.$count.toml server 2>&1|while read r; do echo -en "$LABEL $r\n"; done) &
 done
 # >>>>>>>>>>>>>>>> END FOR LOOP ON NODES

@@ -73,14 +79,14 @@ fi
 sleep 3
 # Establish connections between nodes
 for count in $(seq 1 3); do
-	NODE=$(garage -c /tmp/config.$count.toml node id -q)
+	NODE=$($GARAGE_BIN -c /tmp/config.$count.toml node id -q)
 	for count2 in $(seq 1 3); do
-		garage -c /tmp/config.$count2.toml node connect $NODE
+		$GARAGE_BIN -c /tmp/config.$count2.toml node connect $NODE
 	done
 done

 RETRY=120
-until garage -c /tmp/config.1.toml status 2>&1|grep -q HEALTHY ; do 
+until $GARAGE_BIN -c /tmp/config.1.toml status 2>&1|grep -q HEALTHY ; do 
  (( RETRY-- ))
  if (( RETRY <= 0 )); then 
    echo -en "${MAIN_LABEL} Garage did not start"
@@ -9,9 +9,17 @@ GARAGE_RELEASE="${REPO_FOLDER}/target/release/"
 NIX_RELEASE="${REPO_FOLDER}/result/bin/"
 PATH="${GARAGE_DEBUG}:${GARAGE_RELEASE}:${NIX_RELEASE}:$PATH"

+if [ -z "$GARAGE_BIN" ]; then
+	GARAGE_BIN=$(which garage || exit 1)
+	echo -en "Found garage at: ${GARAGE_BIN}\n"
+else
+	echo -en "Using garage binary at: ${GARAGE_BIN}\n"
+fi
+$GARAGE_BIN --version
+
 sleep 5
 RETRY=120
-until garage -c /tmp/config.1.toml status 2>&1|grep -q HEALTHY ; do 
+until $GARAGE_BIN -c /tmp/config.1.toml status 2>&1|grep -q HEALTHY ; do
  (( RETRY-- ))
  if (( RETRY <= 0 )); then
    echo "garage did not start in time, failing."
@@ -21,12 +29,20 @@ until garage -c /tmp/config.1.toml status 2>&1|grep -q HEALTHY ; do
 	sleep 1
 done

-garage -c /tmp/config.1.toml status \
-	| grep 'NO ROLE' \
-	| grep -Po '^[0-9a-f]+' \
-	| while read id; do 
-	  garage -c /tmp/config.1.toml layout assign $id -z dc1 -c 1G
-	done
+if [ "$GARAGE_08" = "1" ]; then
+	$GARAGE_BIN -c /tmp/config.1.toml status \
+		| grep 'NO ROLE' \
+		| grep -Po '^[0-9a-f]+' \
+		| while read id; do
+		  $GARAGE_BIN -c /tmp/config.1.toml layout assign $id -z dc1 -c 1
+		done
+else
+	$GARAGE_BIN -c /tmp/config.1.toml status \
+		| grep 'NO ROLE' \
+		| grep -Po '^[0-9a-f]+' \
+		| while read id; do
+		  $GARAGE_BIN -c /tmp/config.1.toml layout assign $id -z dc1 -c 1G
+		done
+fi

-garage -c /tmp/config.1.toml layout config -r 1
-garage -c /tmp/config.1.toml layout apply --version 1
+$GARAGE_BIN -c /tmp/config.1.toml layout apply --version 1
@@ -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
@@ -0,0 +1,75 @@
+#!/usr/bin/env bash
+
+set -ex
+
+export LC_ALL=C.UTF-8
+export LANG=C.UTF-8
+SCRIPT_FOLDER="`dirname \"$0\"`"
+REPO_FOLDER="${SCRIPT_FOLDER}/../"
+GARAGE_DEBUG="${REPO_FOLDER}/target/debug/"
+GARAGE_RELEASE="${REPO_FOLDER}/target/release/"
+NIX_RELEASE="${REPO_FOLDER}/result/bin/:${REPO_FOLDER}/result-bin/bin/"
+PATH="${GARAGE_DEBUG}:${GARAGE_RELEASE}:${NIX_RELEASE}:$PATH"
+
+OLD_VERSION="$1"
+ARCH="$2"
+
+
+echo "Downloading old garage binary..."
+curl https://garagehq.deuxfleurs.fr/_releases/$OLD_VERSION/$ARCH/garage > /tmp/old_garage
+chmod +x /tmp/old_garage
+
+echo "============= insert data into old version cluster ================="
+
+export GARAGE_BIN=/tmp/old_garage
+if echo $OLD_VERSION | grep 'v0\.8\.'; then
+	echo "Detected Garage v0.8.x"
+	export GARAGE_08=1
+fi
+
+echo "⏳ Setup cluster using old version"
+$GARAGE_BIN --version
+${SCRIPT_FOLDER}/dev-clean.sh
+${SCRIPT_FOLDER}/dev-cluster.sh > /tmp/garage.log 2>&1 &
+sleep 6
+${SCRIPT_FOLDER}/dev-configure.sh
+${SCRIPT_FOLDER}/dev-bucket.sh
+
+echo "🛠️ Inserting data in old cluster"
+source ${SCRIPT_FOLDER}/dev-env-rclone.sh
+rclone copy "${SCRIPT_FOLDER}/../.git/" garage:eprouvette/test_dotgit --stats=1s --stats-log-level=NOTICE --stats-one-line
+
+echo "🏁 Stopping old cluster"
+killall -INT old_garage
+sleep 2
+killall -9 old_garage || true
+
+echo "🏁 Removing old garage version"
+rm -rv $GARAGE_BIN
+export -n GARAGE_BIN
+export -n GARAGE_08
+
+echo "================ read data from new cluster ==================="
+
+echo "⏳ Setup cluster using new version"
+pwd
+ls
+export GARAGE_BIN=$(which garage)
+$GARAGE_BIN --version
+${SCRIPT_FOLDER}/dev-cluster.sh >> /tmp/garage.log 2>&1 &
+sleep 3
+
+echo "🛠️ Retrieving data from old cluster"
+rclone copy garage:eprouvette/test_dotgit /tmp/test_dotgit --stats=1s --stats-log-level=NOTICE --stats-one-line --fast-list
+
+if ! diff <(find "${SCRIPT_FOLDER}/../.git" -type f | xargs md5sum | cut -d ' ' -f 1 | sort) <(find /tmp/test_dotgit -type f | xargs md5sum | cut -d ' ' -f 1 | sort); then
+	echo "TEST FAILURE: directories are different"
+	exit 1
+fi
+rm -r /tmp/test_dotgit
+
+echo "🏁 Teardown"
+rm -rf /tmp/garage-{data,meta}-*
+rm -rf /tmp/config.*.toml
+
+echo "✅ Success"
@@ -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;
@@ -46,12 +46,12 @@ 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
 	}

@@ -56,7 +56,7 @@ impl BlockRc {
 	/// deletion time has passed
 	pub(crate) fn clear_deleted_block_rc(&self, hash: &Hash) -> Result<(), Error> {
 		let now = now_msec();
-		self.rc.db().transaction(|mut tx| {
+		self.rc.db().transaction(|tx| {
 			let rcval = RcEntry::parse_opt(tx.get(&self.rc, hash)?);
 			match rcval {
 				RcEntry::Deletable { at_time } if now > at_time => {
@@ -64,7 +64,7 @@ impl BlockRc {
 				}
 				_ => (),
 			};
-			tx.commit(())
+			Ok(())
 		})?;
 		Ok(())
 	}
@@ -85,7 +85,7 @@ impl CountedTree {
 		let old_some = expected_old.is_some();
 		let new_some = new.is_some();

-		let tx_res = self.0.tree.db().transaction(|mut tx| {
+		let tx_res = self.0.tree.db().transaction(|tx| {
 			let old_val = tx.get(&self.0.tree, &key)?;
 			let is_same = match (&old_val, &expected_old) {
 				(None, None) => true,
@@ -101,9 +101,9 @@ impl CountedTree {
 						tx.remove(&self.0.tree, &key)?;
 					}
 				}
-				tx.commit(())
+				Ok(())
 			} else {
-				tx.abort(())
+				Err(TxError::Abort(()))
 			}
 		});

@@ -22,10 +22,15 @@ use std::sync::Arc;

 use err_derive::Error;

+pub(crate) type OnCommit = Vec<Box<dyn FnOnce()>>;
+
 #[derive(Clone)]
 pub struct Db(pub(crate) Arc<dyn IDb>);

-pub struct Transaction<'a>(&'a mut dyn ITx);
+pub struct Transaction<'a> {
+	tx: &'a mut dyn ITx,
+	on_commit: OnCommit,
+}

 #[derive(Clone)]
 pub struct Tree(Arc<dyn IDb>, usize);
@@ -85,7 +90,7 @@ impl Db {

 	pub fn transaction<R, E, F>(&self, fun: F) -> TxResult<R, E>
 	where
-		F: Fn(Transaction<'_>) -> TxResult<R, E>,
+		F: Fn(&mut Transaction<'_>) -> TxResult<R, E>,
 	{
 		let f = TxFn {
 			function: fun,
@@ -98,14 +103,17 @@ impl Db {
 			.expect("Transaction did not store result");

 		match tx_res {
-			Ok(()) => {
-				assert!(matches!(ret, Ok(_)));
-				ret
-			}
-			Err(TxError::Abort(())) => {
-				assert!(matches!(ret, Err(TxError::Abort(_))));
-				ret
-			}
+			Ok(on_commit) => match ret {
+				Ok(value) => {
+					on_commit.into_iter().for_each(|f| f());
+					Ok(value)
+				}
+				_ => unreachable!(),
+			},
+			Err(TxError::Abort(())) => match ret {
+				Err(TxError::Abort(e)) => Err(TxError::Abort(e)),
+				_ => unreachable!(),
+			},
 			Err(TxError::Db(e2)) => match ret {
 				// Ok was stored -> the error occured when finalizing
 				// transaction
@@ -139,7 +147,7 @@ impl Db {

 			let ex_tree = other.open_tree(&name)?;

-			let tx_res = self.transaction(|mut tx| {
+			let tx_res = self.transaction(|tx| {
 				let mut i = 0;
 				for item in ex_tree.iter().map_err(TxError::Abort)? {
 					let (k, v) = item.map_err(TxError::Abort)?;
@@ -149,7 +157,7 @@ impl Db {
 						println!("{}: imported {}", name, i);
 					}
 				}
-				tx.commit(i)
+				Ok(i)
 			});
 			let total = match tx_res {
 				Err(TxError::Db(e)) => return Err(e),
@@ -249,11 +257,11 @@ impl Tree {
 impl<'a> Transaction<'a> {
 	#[inline]
 	pub fn get<T: AsRef<[u8]>>(&self, tree: &Tree, key: T) -> TxOpResult<Option<Value>> {
-		self.0.get(tree.1, key.as_ref())
+		self.tx.get(tree.1, key.as_ref())
 	}
 	#[inline]
 	pub fn len(&self, tree: &Tree) -> TxOpResult<usize> {
-		self.0.len(tree.1)
+		self.tx.len(tree.1)
 	}

 	/// Returns the old value if there was one
@@ -264,21 +272,21 @@ impl<'a> Transaction<'a> {
 		key: T,
 		value: U,
 	) -> TxOpResult<Option<Value>> {
-		self.0.insert(tree.1, key.as_ref(), value.as_ref())
+		self.tx.insert(tree.1, key.as_ref(), value.as_ref())
 	}
 	/// Returns the old value if there was one
 	#[inline]
 	pub fn remove<T: AsRef<[u8]>>(&mut self, tree: &Tree, key: T) -> TxOpResult<Option<Value>> {
-		self.0.remove(tree.1, key.as_ref())
+		self.tx.remove(tree.1, key.as_ref())
 	}

 	#[inline]
 	pub fn iter(&self, tree: &Tree) -> TxOpResult<TxValueIter<'_>> {
-		self.0.iter(tree.1)
+		self.tx.iter(tree.1)
 	}
 	#[inline]
 	pub fn iter_rev(&self, tree: &Tree) -> TxOpResult<TxValueIter<'_>> {
-		self.0.iter_rev(tree.1)
+		self.tx.iter_rev(tree.1)
 	}

 	#[inline]
@@ -289,7 +297,7 @@ impl<'a> Transaction<'a> {
 	{
 		let sb = range.start_bound();
 		let eb = range.end_bound();
-		self.0.range(tree.1, get_bound(sb), get_bound(eb))
+		self.tx.range(tree.1, get_bound(sb), get_bound(eb))
 	}
 	#[inline]
 	pub fn range_rev<K, R>(&self, tree: &Tree, range: R) -> TxOpResult<TxValueIter<'_>>
@@ -299,19 +307,12 @@ impl<'a> Transaction<'a> {
 	{
 		let sb = range.start_bound();
 		let eb = range.end_bound();
-		self.0.range_rev(tree.1, get_bound(sb), get_bound(eb))
-	}
-
-	// ----
-
-	#[inline]
-	pub fn abort<R, E>(self, e: E) -> TxResult<R, E> {
-		Err(TxError::Abort(e))
+		self.tx.range_rev(tree.1, get_bound(sb), get_bound(eb))
 	}

 	#[inline]
-	pub fn commit<R, E>(self, r: R) -> TxResult<R, E> {
-		Ok(r)
+	pub fn on_commit<F: FnOnce() + 'static>(&mut self, f: F) {
+		self.on_commit.push(Box::new(f));
 	}
 }

@@ -348,7 +349,7 @@ pub(crate) trait IDb: Send + Sync {
 		high: Bound<&'r [u8]>,
 	) -> Result<ValueIter<'_>>;

-	fn transaction(&self, f: &dyn ITxFn) -> TxResult<(), ()>;
+	fn transaction(&self, f: &dyn ITxFn) -> TxResult<OnCommit, ()>;
 }

 pub(crate) trait ITx {
@@ -380,14 +381,14 @@ pub(crate) trait ITxFn {
 }

 pub(crate) enum TxFnResult {
-	Ok,
+	Ok(OnCommit),
 	Abort,
 	DbErr,
 }

 struct TxFn<F, R, E>
 where
-	F: Fn(Transaction<'_>) -> TxResult<R, E>,
+	F: Fn(&mut Transaction<'_>) -> TxResult<R, E>,
 {
 	function: F,
 	result: Cell<Option<TxResult<R, E>>>,
@@ -395,12 +396,16 @@ where

 impl<F, R, E> ITxFn for TxFn<F, R, E>
 where
-	F: Fn(Transaction<'_>) -> TxResult<R, E>,
+	F: Fn(&mut Transaction<'_>) -> TxResult<R, E>,
 {
 	fn try_on(&self, tx: &mut dyn ITx) -> TxFnResult {
-		let res = (self.function)(Transaction(tx));
+		let mut tx = Transaction {
+			tx,
+			on_commit: vec![],
+		};
+		let res = (self.function)(&mut tx);
 		let res2 = match &res {
-			Ok(_) => TxFnResult::Ok,
+			Ok(_) => TxFnResult::Ok(tx.on_commit),
 			Err(TxError::Abort(_)) => TxFnResult::Abort,
 			Err(TxError::Db(_)) => TxFnResult::DbErr,
 		};
@@ -9,8 +9,8 @@ use heed::types::ByteSlice;
 use heed::{BytesDecode, Env, RoTxn, RwTxn, UntypedDatabase as Database};

 use crate::{
-	Db, Error, IDb, ITx, ITxFn, Result, TxError, TxFnResult, TxOpError, TxOpResult, TxResult,
-	TxValueIter, Value, ValueIter,
+	Db, Error, IDb, ITx, ITxFn, OnCommit, Result, TxError, TxFnResult, TxOpError, TxOpResult,
+	TxResult, TxValueIter, Value, ValueIter,
 };

 pub use heed;
@@ -186,7 +186,7 @@ impl IDb for LmdbDb {

 	// ----

-	fn transaction(&self, f: &dyn ITxFn) -> TxResult<(), ()> {
+	fn transaction(&self, f: &dyn ITxFn) -> TxResult<OnCommit, ()> {
 		let trees = self.trees.read().unwrap();
 		let mut tx = LmdbTx {
 			trees: &trees.0[..],
@@ -199,9 +199,9 @@ impl IDb for LmdbDb {

 		let res = f.try_on(&mut tx);
 		match res {
-			TxFnResult::Ok => {
+			TxFnResult::Ok(on_commit) => {
 				tx.tx.commit().map_err(Error::from).map_err(TxError::Db)?;
-				Ok(())
+				Ok(on_commit)
 			}
 			TxFnResult::Abort => {
 				tx.tx.abort().map_err(Error::from).map_err(TxError::Db)?;
@@ -10,8 +10,8 @@ use sled::transaction::{
 };

 use crate::{
-	Db, Error, IDb, ITx, ITxFn, Result, TxError, TxFnResult, TxOpError, TxOpResult, TxResult,
-	TxValueIter, Value, ValueIter,
+	Db, Error, IDb, ITx, ITxFn, OnCommit, Result, TxError, TxFnResult, TxOpError, TxOpResult,
+	TxResult, TxValueIter, Value, ValueIter,
 };

 pub use sled;
@@ -166,7 +166,7 @@ impl IDb for SledDb {

 	// ----

-	fn transaction(&self, f: &dyn ITxFn) -> TxResult<(), ()> {
+	fn transaction(&self, f: &dyn ITxFn) -> TxResult<OnCommit, ()> {
 		let trees = self.trees.read().unwrap();
 		let res = trees.0.transaction(|txtrees| {
 			let mut tx = SledTx {
@@ -174,9 +174,9 @@ impl IDb for SledDb {
 				err: Cell::new(None),
 			};
 			match f.try_on(&mut tx) {
-				TxFnResult::Ok => {
+				TxFnResult::Ok(on_commit) => {
 					assert!(tx.err.into_inner().is_none());
-					Ok(())
+					Ok(on_commit)
 				}
 				TxFnResult::Abort => {
 					assert!(tx.err.into_inner().is_none());
@@ -189,7 +189,7 @@ impl IDb for SledDb {
 			}
 		});
 		match res {
-			Ok(()) => Ok(()),
+			Ok(on_commit) => Ok(on_commit),
 			Err(TransactionError::Abort(())) => Err(TxError::Abort(())),
 			Err(TransactionError::Storage(s)) => Err(TxError::Db(s.into())),
 		}
@@ -9,8 +9,8 @@ use std::sync::{Arc, Mutex, MutexGuard};
 use rusqlite::{params, Connection, Rows, Statement, Transaction};

 use crate::{
-	Db, Error, IDb, ITx, ITxFn, Result, TxError, TxFnResult, TxOpError, TxOpResult, TxResult,
-	TxValueIter, Value, ValueIter,
+	Db, Error, IDb, ITx, ITxFn, OnCommit, Result, TxError, TxFnResult, TxOpError, TxOpResult,
+	TxResult, TxValueIter, Value, ValueIter,
 };

 pub use rusqlite;
@@ -261,7 +261,7 @@ impl IDb for SqliteDb {

 	// ----

-	fn transaction(&self, f: &dyn ITxFn) -> TxResult<(), ()> {
+	fn transaction(&self, f: &dyn ITxFn) -> TxResult<OnCommit, ()> {
 		trace!("transaction: lock db");
 		let mut this = self.0.lock().unwrap();
 		trace!("transaction: lock acquired");
@@ -277,9 +277,9 @@ impl IDb for SqliteDb {
 			trees: &this_mut_ref.trees,
 		};
 		let res = match f.try_on(&mut tx) {
-			TxFnResult::Ok => {
+			TxFnResult::Ok(on_commit) => {
 				tx.tx.commit().map_err(Error::from).map_err(TxError::Db)?;
-				Ok(())
+				Ok(on_commit)
 			}
 			TxFnResult::Abort => {
 				tx.tx.rollback().map_err(Error::from).map_err(TxError::Db)?;
@@ -13,26 +13,26 @@ fn test_suite(db: Db) {
 	assert!(tree.insert(ka, va).unwrap().is_none());
 	assert_eq!(tree.get(ka).unwrap().unwrap(), va);

-	let res = db.transaction::<_, (), _>(|mut tx| {
+	let res = db.transaction::<_, (), _>(|tx| {
 		assert_eq!(tx.get(&tree, ka).unwrap().unwrap(), va);

 		assert_eq!(tx.insert(&tree, ka, vb).unwrap().unwrap(), va);

 		assert_eq!(tx.get(&tree, ka).unwrap().unwrap(), vb);

-		tx.commit(12)
+		Ok(12)
 	});
 	assert!(matches!(res, Ok(12)));
 	assert_eq!(tree.get(ka).unwrap().unwrap(), vb);

-	let res = db.transaction::<(), _, _>(|mut tx| {
+	let res = db.transaction::<(), _, _>(|tx| {
 		assert_eq!(tx.get(&tree, ka).unwrap().unwrap(), vb);

 		assert_eq!(tx.insert(&tree, ka, vc).unwrap().unwrap(), vb);

 		assert_eq!(tx.get(&tree, ka).unwrap().unwrap(), vc);

-		tx.abort(42)
+		Err(TxError::Abort(42))
 	});
 	assert!(matches!(res, Err(TxError::Abort(42))));
 	assert_eq!(tree.get(ka).unwrap().unwrap(), vb);
--- a/Show More
+++ b/Show More
Author	SHA1	Message	Date
Alex Auvolat	2e656b541b	Merge branch 'main' into next	2023-10-03 18:40:37 +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 Auvolat	9ac1d5be0e	add upgrade test for garage 0.8 -> 0.9	2023-09-27 14:57:37 +02:00
Alex Auvolat	897cbf2c27	actually update rmp-serde to 1.1.2 for both garage and netapp dependency (fix #629 )	2023-09-27 13:13:00 +02:00
Alex Auvolat	ad82035b98	Merge branch 'main' into next	2023-09-27 13:11:52 +02:00
Alex	aa7eadc799	Merge pull request 'New layout: fixes and UX improvements' (#634 ) from new-layout-ux into next Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/634	2023-09-27 09:04:32 +00:00
Alex Auvolat	0e5925fff6	layout doc: reformulate	2023-09-22 16:14:47 +02:00
Alex Auvolat	8d07888fa2	layout doc: write explanations for bizarre scenarios	2023-09-22 16:07:46 +02:00
Alex Auvolat	405aa42b7d	layout doc: update old text	2023-09-22 10:06:31 +02:00
Alex Auvolat	b4a0e636d8	new layout doc: add examples of unexpected layout, to explain	2023-09-22 09:49:07 +02:00
Alex	1d986bd889	Merge pull request 'Refactor db transactions and add on_commit for table.queue_insert' (#637 ) from k2v-indices-lmdb into next Reviewed-on: https://git.deuxfleurs.fr/Deuxfleurs/garage/pulls/637	2023-09-21 14:03:35 +00:00
Alex Auvolat	0635250b2b	garage_table/queue_insert: delay worker notification to after transaction commit (fix #583 )	2023-09-21 15:37:28 +02:00
Alex Auvolat	f97168f805	garage_db: refactor transactions and add on_commit mechanism	2023-09-21 15:35:31 +02:00
Alex Auvolat	3ecc17f8c5	new layout: use deterministic randomness for reproducible results	2023-09-21 11:21:35 +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 Auvolat	013b026d56	update cargo.nix	2023-09-18 12:18:56 +02:00
Alex Auvolat	0088599f52	new layout: fix clippy lints	2023-09-18 12:17:07 +02:00
Alex Auvolat	749b4865d0	new layout: improve display and fix comments	2023-09-18 12:07:45 +02:00
Alex Auvolat	015ccb39aa	new layout: make zone_redundancy optionnal (if not set, is maximum)	2023-09-18 11:59:08 +02:00
Alex Auvolat	2e229d4430	new layout: improve output display	2023-09-12 17:24:51 +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