More lattice docs reworks

author: Cliff Click <cliffc@acm.org> 2024-11-27 11:29:33 -0800
committer: Cliff Click <cliffc@acm.org> 2025-01-15 15:07:30 -0800
commit: 65454d77eba95d7f814336377f78d9f42c7455f9 (patch)
tree: 976efed369498c7e976fe5098f6a406fed81cb53
parent: 34766f1a2e9e60626eb1bd5a08140fc41a3770c8 (diff)
download: Simple-65454d77eba95d7f814336377f78d9f42c7455f9.tar.gz
Simple-65454d77eba95d7f814336377f78d9f42c7455f9.zip
19 files changed, 2775 insertions, 784 deletions
diff --git a/chapter02/README.md b/chapter02/README.md
index db23796d..04e34eb9 100644
--- a/chapter02/README.md
+++ b/chapter02/README.md
@@ -93,17 +93,18 @@ Type
 ```
 
 It turns out that the set of values associated with a Type at a specific Node
-can be conveniently represented as a "lattice"
-https://en.wikipedia.org/wiki/Lattice_(order)
-.  Our lattice has the following structure:
+can be conveniently represented as a *lattice* 
+[wiki/Lattice_(order)](https://en.wikipedia.org/wiki/Lattice_(order)).  Our lattice has the following structure:
 
-![Lattice](./docs/02-lattice.svg)
+![Lattice](./docs/lattice.svg)
 
 Our lattice elements can be one of three types:
 
-* The highest element is "top", denoted by T; assigning T means that the Node's value may or may not be a compile time constant.
+* The highest element is "top", denoted by ⊤; assigning ⊤ means that the Node's
+  value may or may not be a compile time constant.
 * All elements in the middle are constants.
-* The lowest is "bottom", denoted by ⊥; assigning ⊥ means that we know that the Node's value is **not** a compile time constant.
+* The lowest is "bottom", denoted by ⊥; assigning ⊥ means that we know that the
+  Node's value is **not** a compile time constant.
 
 An invariant of peephole optimizations is that the type of a Node always moves
 *up* the lattice (towards "top"); peepholes are *pessmistic* assuming the worst
diff --git a/chapter02/docs/02-lattice.gv b/chapter02/docs/02-lattice.gv
deleted file mode 100644
index 4faa0e11..00000000
--- a/chapter02/docs/02-lattice.gv
+++ /dev/null
@@ -1,35 +0,0 @@
-digraph Lattice {
-    // Define nodes
-    node [shape=circle, style=filled, fillcolor=lightblue];
-    Top [label="⊤"];
-    Bottom [label="⊥"];
-
-    A [label="MIN_INT"];
-    B [label="..." shape=none style=none];
-    C [label="-1"];
-    D [label="0"];
-    E [label="1"];
-    F [label="..." shape=none style=none];
-    G [label="MAX_INT"];
-
-
-    // Define edges
-    Top -> A [arrowhead=none];
-    Top -> B [arrowhead=none];
-    Top -> C [arrowhead=none];
-    Top -> D [arrowhead=none];
-    Top -> E [arrowhead=none];
-    Top -> F [arrowhead=none];
-    Top -> G [arrowhead=none];
-    A -> Bottom [arrowhead=none];
-    B -> Bottom [arrowhead=none];
-    C -> Bottom [arrowhead=none];
-    D -> Bottom [arrowhead=none];
-    E -> Bottom [arrowhead=none];
-    F -> Bottom [arrowhead=none];
-    G -> Bottom [arrowhead=none];
-
-    // Additional customization
-    {rank=same; A; B; C; D; E; F; G; }
-    {rank=same; Bottom;}
-}
diff --git a/chapter02/docs/02-lattice.svg b/chapter02/docs/02-lattice.svg
deleted file mode 100644
index 218acc6a..00000000
--- a/chapter02/docs/02-lattice.svg
+++ /dev/null
@@ -1,143 +0,0 @@
-<?xml version="1.0" encoding="UTF-8" standalone="no"?>
-<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
-        "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
-<!-- Generated by graphviz version 2.43.0 (0)
- -->
-<!-- Title: Lattice Pages: 1 -->
-<svg width="548pt" height="266pt"
-     viewBox="0.00 0.00 547.59 265.88" xmlns="http://www.w3.org/2000/svg">
-    <g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 261.88)">
-        <title>Lattice</title>
-        <polygon fill="white" stroke="transparent" points="-4,4 -4,-261.88 543.59,-261.88 543.59,4 -4,4"/>
-        <!-- Top -->
-        <g id="node1" class="node">
-            <title>Top</title>
-            <ellipse fill="lightblue" stroke="black" cx="269.65" cy="-238.39" rx="19.5" ry="19.5"/>
-            <text text-anchor="middle" x="269.65" y="-234.69" font-family="Times,serif" font-size="14.00">⊤</text>
-        </g>
-        <!-- A -->
-        <g id="node3" class="node">
-            <title>A</title>
-            <ellipse fill="lightblue" stroke="black" cx="52.65" cy="-128.94" rx="52.79" ry="52.79"/>
-            <text text-anchor="middle" x="52.65" y="-125.24" font-family="Times,serif" font-size="14.00">MIN_INT</text>
-        </g>
-        <!-- Top&#45;&gt;A -->
-        <g id="edge1" class="edge">
-            <title>Top&#45;&gt;A</title>
-            <path fill="none" stroke="black"
-                  d="M250.55,-233.09C220.3,-225.77 160.13,-209.08 114.65,-182.89 106.3,-178.08 98.02,-172.1 90.35,-165.89"/>
-        </g>
-        <!-- B -->
-        <g id="node4" class="node">
-            <title>B</title>
-            <text text-anchor="middle" x="150.65" y="-125.24" font-family="Times,serif" font-size="14.00">...</text>
-        </g>
-        <!-- Top&#45;&gt;B -->
-        <g id="edge2" class="edge">
-            <title>Top&#45;&gt;B</title>
-            <path fill="none" stroke="black"
-                  d="M252.34,-228.66C234.5,-219.09 206.55,-202.47 186.65,-182.89 175.87,-172.28 166.38,-158 159.86,-146.95"/>
-        </g>
-        <!-- C -->
-        <g id="node5" class="node">
-            <title>C</title>
-            <ellipse fill="lightblue" stroke="black" cx="214.65" cy="-128.94" rx="19.5" ry="19.5"/>
-            <text text-anchor="middle" x="214.65" y="-125.24" font-family="Times,serif" font-size="14.00">&#45;1</text>
-        </g>
-        <!-- Top&#45;&gt;C -->
-        <g id="edge3" class="edge">
-            <title>Top&#45;&gt;C</title>
-            <path fill="none" stroke="black" d="M261.05,-220.6C250.72,-200.41 233.48,-166.74 223.18,-146.61"/>
-        </g>
-        <!-- D -->
-        <g id="node6" class="node">
-            <title>D</title>
-            <ellipse fill="lightblue" stroke="black" cx="269.65" cy="-128.94" rx="18" ry="18"/>
-            <text text-anchor="middle" x="269.65" y="-125.24" font-family="Times,serif" font-size="14.00">0</text>
-        </g>
-        <!-- Top&#45;&gt;D -->
-        <g id="edge4" class="edge">
-            <title>Top&#45;&gt;D</title>
-            <path fill="none" stroke="black" d="M269.65,-218.67C269.65,-198.47 269.65,-166.57 269.65,-147.03"/>
-        </g>
-        <!-- E -->
-        <g id="node7" class="node">
-            <title>E</title>
-            <ellipse fill="lightblue" stroke="black" cx="323.65" cy="-128.94" rx="18" ry="18"/>
-            <text text-anchor="middle" x="323.65" y="-125.24" font-family="Times,serif" font-size="14.00">1</text>
-        </g>
-        <!-- Top&#45;&gt;E -->
-        <g id="edge5" class="edge">
-            <title>Top&#45;&gt;E</title>
-            <path fill="none" stroke="black" d="M278.08,-220.6C288.46,-199.94 305.94,-165.16 315.97,-145.22"/>
-        </g>
-        <!-- F -->
-        <g id="node8" class="node">
-            <title>F</title>
-            <text text-anchor="middle" x="386.65" y="-125.24" font-family="Times,serif" font-size="14.00">...</text>
-        </g>
-        <!-- Top&#45;&gt;F -->
-        <g id="edge6" class="edge">
-            <title>Top&#45;&gt;F</title>
-            <path fill="none" stroke="black"
-                  d="M286.52,-228.57C303.92,-218.93 331.18,-202.25 350.65,-182.89 361.2,-172.38 370.57,-158.37 377.1,-147.4"/>
-        </g>
-        <!-- G -->
-        <g id="node9" class="node">
-            <title>G</title>
-            <ellipse fill="lightblue" stroke="black" cx="485.65" cy="-128.94" rx="53.89" ry="53.89"/>
-            <text text-anchor="middle" x="485.65" y="-125.24" font-family="Times,serif" font-size="14.00">MAX_INT</text>
-        </g>
-        <!-- Top&#45;&gt;G -->
-        <g id="edge7" class="edge">
-            <title>Top&#45;&gt;G</title>
-            <path fill="none" stroke="black"
-                  d="M288.46,-233C318.29,-225.56 377.63,-208.69 422.65,-182.89 430.83,-178.2 438.98,-172.41 446.57,-166.39"/>
-        </g>
-        <!-- Bottom -->
-        <g id="node2" class="node">
-            <title>Bottom</title>
-            <ellipse fill="lightblue" stroke="black" cx="269.65" cy="-19.5" rx="19.5" ry="19.5"/>
-            <text text-anchor="middle" x="269.65" y="-15.8" font-family="Times,serif" font-size="14.00">⊥</text>
-        </g>
-        <!-- A&#45;&gt;Bottom -->
-        <g id="edge8" class="edge">
-            <title>A&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black"
-                  d="M90.35,-91.99C98.02,-85.79 106.3,-79.8 114.65,-75 160.13,-48.81 220.3,-32.11 250.55,-24.79"/>
-        </g>
-        <!-- B&#45;&gt;Bottom -->
-        <g id="edge9" class="edge">
-            <title>B&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black"
-                  d="M159.86,-110.94C166.38,-99.88 175.87,-85.6 186.65,-75 206.55,-55.41 234.5,-38.79 252.34,-29.22"/>
-        </g>
-        <!-- C&#45;&gt;Bottom -->
-        <g id="edge10" class="edge">
-            <title>C&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black" d="M223.24,-111.15C233.57,-90.97 250.81,-57.3 261.11,-37.17"/>
-        </g>
-        <!-- D&#45;&gt;Bottom -->
-        <g id="edge11" class="edge">
-            <title>D&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black" d="M269.65,-110.68C269.65,-91.1 269.65,-59.3 269.65,-39.16"/>
-        </g>
-        <!-- E&#45;&gt;Bottom -->
-        <g id="edge12" class="edge">
-            <title>E&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black" d="M315.91,-112.55C305.88,-92.59 288.44,-57.9 278.08,-37.28"/>
-        </g>
-        <!-- F&#45;&gt;Bottom -->
-        <g id="edge13" class="edge">
-            <title>F&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black"
-                  d="M377.1,-110.49C370.57,-99.52 361.2,-85.5 350.65,-75 331.18,-55.63 303.92,-38.95 286.52,-29.31"/>
-        </g>
-        <!-- G&#45;&gt;Bottom -->
-        <g id="edge14" class="edge">
-            <title>G&#45;&gt;Bottom</title>
-            <path fill="none" stroke="black"
-                  d="M446.57,-91.49C438.98,-85.48 430.83,-79.69 422.65,-75 377.63,-49.19 318.29,-32.33 288.46,-24.88"/>
-        </g>
-    </g>
-</svg>
diff --git a/chapter02/docs/lattice.gv b/chapter02/docs/lattice.gv
new file mode 100644
index 00000000..fe8df136
--- /dev/null
+++ b/chapter02/docs/lattice.gv
@@ -0,0 +1,40 @@
+digraph Lattice {
+    compound = true;
+    // Define nodes
+    splines=false;
+    node [shape=circle, style=filled];
+    nodesep=0.6;
+
+    // ----------------------
+    // Integers
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
+    INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
+
+    INT_MIN     [label="-n" , fillcolor=lightblue];
+    INT_MINDOTS [label="...", fillcolor=lightblue shape=oval];
+    INT_MINUS   [label="-1" , fillcolor=lightblue];
+    INT_ZERO    [label="0"  , fillcolor=lightblue];
+    INT_PLUS    [label="1"  , fillcolor=lightblue];
+    INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
+    INT_MAX     [label="+n" , fillcolor=lightblue];
+
+    INT_TOP     -> INT_MIN;
+    INT_TOP     -> INT_MINDOTS;
+    INT_TOP     -> INT_MINUS;
+    INT_TOP     -> INT_ZERO;
+    INT_TOP     -> INT_PLUS;
+    INT_TOP     -> INT_MAXDOTS;
+    INT_TOP     -> INT_MAX;
+    INT_MIN     -> INT_BOT;
+    INT_MINDOTS -> INT_BOT;
+    INT_MINUS   -> INT_BOT;
+    INT_ZERO    -> INT_BOT;
+    INT_PLUS    -> INT_BOT;
+    INT_MAXDOTS -> INT_BOT;
+    INT_MAX     -> INT_BOT;
+
+    INT_MIN -> INT_MINDOTS -> INT_MINUS -> INT_ZERO -> INT_PLUS -> INT_MAXDOTS -> INT_MAX [style=invis];
+
+    // Additional customization
+    {rank=same; INT_MIN; INT_MINDOTS; INT_MINUS; INT_ZERO; INT_PLUS; INT_MAXDOTS; INT_MAX; }
+}
diff --git a/chapter02/docs/lattice.svg b/chapter02/docs/lattice.svg
new file mode 100644
index 00000000..b11d57aa
--- /dev/null
+++ b/chapter02/docs/lattice.svg
@@ -0,0 +1,159 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<!-- Generated by graphviz version 12.2.0 (20241103.1931)
+ -->
+<!-- Title: Lattice Pages: 1 -->
+<svg width="564pt" height="194pt"
+ viewBox="0.00 0.00 563.75 194.31" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 190.31)">
+<title>Lattice</title>
+<polygon fill="white" stroke="none" points="-4,4 -4,-190.31 559.75,-190.31 559.75,4 -4,4"/>
+<!-- INT_TOP -->
+<g id="node1" class="node">
+<title>INT_TOP</title>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-168.31" rx="33.95" ry="18"/>
+<text text-anchor="start" x="259.72" y="-164.26" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="275.47" y="-164.26" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- INT_MIN -->
+<g id="node3" class="node">
+<title>INT_MIN</title>
+<ellipse fill="lightblue" stroke="black" cx="18.6" cy="-93.15" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="18.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MIN -->
+<g id="edge1" class="edge">
+<title>INT_TOP&#45;&gt;INT_MIN</title>
+<path fill="none" stroke="black" d="M247,-158.92C197.13,-144.78 96.96,-116.37 47.53,-102.36"/>
+<polygon fill="black" stroke="black" points="48.71,-99.06 38.13,-99.69 46.8,-105.79 48.71,-99.06"/>
+</g>
+<!-- INT_MINDOTS -->
+<g id="node4" class="node">
+<title>INT_MINDOTS</title>
+<ellipse fill="lightblue" stroke="black" cx="107.6" cy="-93.15" rx="27" ry="18"/>
+<text text-anchor="middle" x="107.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">...</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MINDOTS -->
+<g id="edge2" class="edge">
+<title>INT_TOP&#45;&gt;INT_MINDOTS</title>
+<path fill="none" stroke="black" d="M250.93,-156.2C221.31,-143.38 172.55,-122.27 140.26,-108.29"/>
+<polygon fill="black" stroke="black" points="141.94,-105.21 131.38,-104.45 139.16,-111.63 141.94,-105.21"/>
+</g>
+<!-- INT_MINUS -->
+<g id="node5" class="node">
+<title>INT_MINUS</title>
+<ellipse fill="lightblue" stroke="black" cx="196.6" cy="-93.15" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="196.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">&#45;1</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MINUS -->
+<g id="edge3" class="edge">
+<title>INT_TOP&#45;&gt;INT_MINUS</title>
+<path fill="none" stroke="black" d="M260.02,-152.15C247.97,-141.13 231.55,-126.11 218.43,-114.12"/>
+<polygon fill="black" stroke="black" points="220.83,-111.57 211.09,-107.41 216.11,-116.74 220.83,-111.57"/>
+</g>
+<!-- INT_ZERO -->
+<g id="node6" class="node">
+<title>INT_ZERO</title>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-93.15" rx="18" ry="18"/>
+<text text-anchor="middle" x="276.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">0</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_ZERO -->
+<g id="edge4" class="edge">
+<title>INT_TOP&#45;&gt;INT_ZERO</title>
+<path fill="none" stroke="black" d="M276.6,-149.97C276.6,-141.92 276.6,-132.14 276.6,-123.02"/>
+<polygon fill="black" stroke="black" points="280.1,-123.13 276.6,-113.13 273.1,-123.13 280.1,-123.13"/>
+</g>
+<!-- INT_PLUS -->
+<g id="node7" class="node">
+<title>INT_PLUS</title>
+<ellipse fill="lightblue" stroke="black" cx="355.6" cy="-93.15" rx="18" ry="18"/>
+<text text-anchor="middle" x="355.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">1</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_PLUS -->
+<g id="edge5" class="edge">
+<title>INT_TOP&#45;&gt;INT_PLUS</title>
+<path fill="none" stroke="black" d="M292.96,-152.15C305.01,-141 321.48,-125.74 334.51,-113.68"/>
+<polygon fill="black" stroke="black" points="336.82,-116.31 341.78,-106.95 332.06,-111.18 336.82,-116.31"/>
+</g>
+<!-- INT_MAXDOTS -->
+<g id="node8" class="node">
+<title>INT_MAXDOTS</title>
+<ellipse fill="lightblue" stroke="black" cx="443.6" cy="-93.15" rx="27" ry="18"/>
+<text text-anchor="middle" x="443.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">...</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MAXDOTS -->
+<g id="edge6" class="edge">
+<title>INT_TOP&#45;&gt;INT_MAXDOTS</title>
+<path fill="none" stroke="black" d="M302.32,-156.04C331.46,-143.28 379,-122.45 410.79,-108.53"/>
+<polygon fill="black" stroke="black" points="412.17,-111.74 419.93,-104.52 409.36,-105.33 412.17,-111.74"/>
+</g>
+<!-- INT_MAX -->
+<g id="node9" class="node">
+<title>INT_MAX</title>
+<ellipse fill="lightblue" stroke="black" cx="534.6" cy="-93.15" rx="21.15" ry="21.15"/>
+<text text-anchor="middle" x="534.6" y="-88.1" font-family="Times New Roman,serif" font-size="14.00">+n</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MAX -->
+<g id="edge7" class="edge">
+<title>INT_TOP&#45;&gt;INT_MAX</title>
+<path fill="none" stroke="black" d="M306.19,-158.92C355.31,-144.99 453.21,-117.23 503.38,-103.01"/>
+<polygon fill="black" stroke="black" points="504.07,-106.45 512.73,-100.35 502.16,-99.71 504.07,-106.45"/>
+</g>
+<!-- INT_BOT -->
+<g id="node2" class="node">
+<title>INT_BOT</title>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-18" rx="33.95" ry="18"/>
+<text text-anchor="start" x="259.72" y="-13.95" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="275.47" y="-13.95" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- INT_MIN&#45;&gt;INT_BOT -->
+<g id="edge8" class="edge">
+<title>INT_MIN&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M36.33,-87.13C77.31,-75.51 179.45,-46.55 236.48,-30.38"/>
+<polygon fill="black" stroke="black" points="237.13,-33.83 245.79,-27.73 235.22,-27.09 237.13,-33.83"/>
+</g>
+<!-- INT_MIN&#45;&gt;INT_MINDOTS -->
+<!-- INT_MINDOTS&#45;&gt;INT_BOT -->
+<g id="edge9" class="edge">
+<title>INT_MINDOTS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M129.69,-82.59C157.87,-70.39 206.96,-49.14 240.58,-34.59"/>
+<polygon fill="black" stroke="black" points="241.73,-37.91 249.51,-30.72 238.95,-31.48 241.73,-37.91"/>
+</g>
+<!-- INT_MINDOTS&#45;&gt;INT_MINUS -->
+<!-- INT_MINUS&#45;&gt;INT_BOT -->
+<g id="edge10" class="edge">
+<title>INT_MINUS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M210.17,-79.75C221.61,-69.28 238.28,-54.04 252.06,-41.44"/>
+<polygon fill="black" stroke="black" points="254.05,-44.36 259.07,-35.03 249.33,-39.19 254.05,-44.36"/>
+</g>
+<!-- INT_MINUS&#45;&gt;INT_ZERO -->
+<!-- INT_ZERO&#45;&gt;INT_BOT -->
+<g id="edge11" class="edge">
+<title>INT_ZERO&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M276.6,-74.82C276.6,-66.77 276.6,-56.98 276.6,-47.86"/>
+<polygon fill="black" stroke="black" points="280.1,-47.98 276.6,-37.98 273.1,-47.98 280.1,-47.98"/>
+</g>
+<!-- INT_ZERO&#45;&gt;INT_PLUS -->
+<!-- INT_PLUS&#45;&gt;INT_BOT -->
+<g id="edge12" class="edge">
+<title>INT_PLUS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M342.55,-80.07C331.3,-69.66 314.75,-54.33 301.04,-41.64"/>
+<polygon fill="black" stroke="black" points="303.78,-39.4 294.06,-35.17 299.02,-44.53 303.78,-39.4"/>
+</g>
+<!-- INT_PLUS&#45;&gt;INT_MAXDOTS -->
+<!-- INT_MAXDOTS&#45;&gt;INT_BOT -->
+<g id="edge13" class="edge">
+<title>INT_MAXDOTS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M421.42,-82.44C393.56,-70.24 345.4,-49.14 312.32,-34.65"/>
+<polygon fill="black" stroke="black" points="314.1,-31.61 303.54,-30.8 311.29,-38.02 314.1,-31.61"/>
+</g>
+<!-- INT_MAXDOTS&#45;&gt;INT_MAX -->
+<!-- INT_MAX&#45;&gt;INT_BOT -->
+<g id="edge14" class="edge">
+<title>INT_MAX&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M514.35,-86.41C471.9,-74.38 372.87,-46.3 316.93,-30.44"/>
+<polygon fill="black" stroke="black" points="318.05,-27.12 307.47,-27.76 316.14,-33.85 318.05,-27.12"/>
+</g>
+</g>
+</svg>
diff --git a/chapter04/README.md b/chapter04/README.md
index 299d5da9..1b14bf0a 100644
--- a/chapter04/README.md
+++ b/chapter04/README.md
@@ -184,11 +184,9 @@ lattice.
 In this chapter we extend the Type hierarchy as follows:
 
 ```
-Type
-+-- TypeControl             (New - represents control token)
-+-- TypeInteger             (Enhanced - now has Top and Bottom types)
-+-- TypeBot
-+-- TypeTuple               (New - represents multi-valued result)
+Type              (Enhanced - now has Control, and a global Top and Bottom)
++-- TypeInteger   (Enhanced - now has Top and Bottom types)
++-- TypeTuple     (New - represents multi-valued result)
 ```
 
 Our enhanced Lattice looks like this:
@@ -197,14 +195,18 @@ Our enhanced Lattice looks like this:
 
 
 In this chapter we introduce the possibility of a program input variable named
-`arg`; all we know about this variable is that it is some integer value, but we do not know whether it is a constant or not.
+`arg`; all we know about this variable is that it is some integer value, but we
+do not know whether it is a constant or not.
 
-To support the requirements for non-constant integer values, we enhance `TypeInteger` to
-allow it to represent `IntTop` and `IntBot` integer types in addition to the earlier constant value.
+To support the requirements for non-constant integer values, we enhance
+`TypeInteger` to allow it to represent `IntTop` and `IntBot` integer types in
+addition to the earlier constant value.
 
-Now that integer values may be constants or non-constants, we need to introduce the "meet" operator
-in our lattice. The `meet` operator describes rules that define the resulting type when we combine
-integer values.
+Now that integer values may be constants or non-constants, we need to introduce
+the *meet* operator over our lattice. The `meet` operator describes rules that
+define the resulting type when we combine integer values.  In the lattice
+diagram you can start from the two elements being `meet` and follow the
+two arrows down the graph to the first point they meet.
 
 |        | IntBot | Con1   | Con2   | IntTop |
 |--------|--------|--------|--------|--------|
@@ -223,13 +225,26 @@ Currently, all our integer valued nodes are either a constant or a `IntBot` inte
 When we start optimizing loops, we will start seeing `IntTop` values.
 
 
+### Tuple Types
+
+Tuple types need a little more explaination: they are a fixed-size grouping of
+types; literally a `Type[]`.  Tuples represent a collection of otherwise
+unrelated types, and come from `MultiNode`s.  `ProjNode`s will take the
+appropriate `Type` array element out of a Tuple.  The `StartNode` now produces
+a 2-element `TypeTuple` with control and the type of `arg`: `[ctrl, TypeInteger.INTBOT]`
+
+The lattice `meet` operator on Tuples is done element by element; each array
+element recursively calls `meet`.  Tuples of mixed sizes are a internal
+compiler error, and the `meet` uses Bottom for them.
+
+
 ## `$ctrl` name binding
 
 In previous chapters, we had a hard coded control input edge from Start to
 Return. In this chapter we no longer have such a hard-wired edge.  Instead, we
 track the current in-scope control node via the name `$ctrl`.  This means that
-when we need to create an edge to the predecessor control node, we simply
-look up this name in the current scope.
+when we need to create an edge to the predecessor control node, we simply look
+up this name in the current scope.
 
 This introduces the idea that the control flow subgraph is a Petri net model.[^1]
 The control token moves virtually from node to node as execution proceeds.  The
diff --git a/chapter04/docs/lattice.gv b/chapter04/docs/lattice.gv
index 29a53b0a..6efef107 100644
--- a/chapter04/docs/lattice.gv
+++ b/chapter04/docs/lattice.gv
@@ -1,29 +1,32 @@
 digraph Lattice {
+    compound = true;
     // Define nodes
     splines=false;
-    node [shape=circle, style=filled, fillcolor=lightblue];
+    node [shape=circle, style=filled];
     nodesep=0.6;
 
-    TOP [label="⊤" , fillcolor=black, fontcolor=white];
-    BOT [label="⊥", fillcolor=black, fontcolor=white];
+    TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
+    BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
 
-    CTRL [label="Ctrl", fillcolor=yellow];
+    // ----------------------
+    // Control
+    CTRL  [label="ctrl", fillcolor=yellow, shape=oval];
 
-    INT_TOP [label="⊤ :Int"];
-    INT_BOT [label="⊥ :Int"];
-
-    INT_MIN [label="-n"];
-    INT_MINDOTS [label="..." shape=none style=none];
-    INT_MINUS [label="-1"];
-    INT_ZERO [label="0"];
-    INT_PLUS [label="1"];
-    INT_MAXDOTS [label="..." shape=none style=none];
-    INT_MAX [label="+n"];
+    TOP   -> CTRL;
+    CTRL  -> BOT;
 
-    TUPLE [label="TUPLE", fillcolor=pink];
+    // ----------------------
+    // Integers
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
+    INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
 
-    // Define edges
-    edge [arrowhead=none];
+    INT_MIN     [label="-n" , fillcolor=lightblue];
+    INT_MINDOTS [label="...", fillcolor=lightblue shape=oval];
+    INT_MINUS   [label="-1" , fillcolor=lightblue];
+    INT_ZERO    [label="0"  , fillcolor=lightblue];
+    INT_PLUS    [label="1"  , fillcolor=lightblue];
+    INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
+    INT_MAX     [label="+n" , fillcolor=lightblue];
 
     TOP         -> INT_TOP;
     INT_TOP     -> INT_MIN;
@@ -43,22 +46,52 @@ digraph Lattice {
     INT_BOT     -> BOT;
 
     INT_MIN -> INT_MINDOTS -> INT_MINUS -> INT_ZERO -> INT_PLUS -> INT_MAXDOTS -> INT_MAX [style=invis];
+    
+    // ----------------------
+    // Tuples
 
-    TOP   -> TUPLE;
-    TUPLE -> BOT;
+    TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
+
+    TUPLE1 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLE2 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLEN [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">...</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
 
-    TOP   -> CTRL;
-    CTRL  -> BOT;
 
+    TOP -> TUPLE_TOP;
+    TUPLE_TOP -> TUPLE1;
+    TUPLE_TOP -> TUPLE2;
+    TUPLE_TOP -> TUPLEN;
+    TUPLE1 -> TUPLE_BOT;
+    TUPLE2 -> TUPLE_BOT;
+    TUPLEN -> TUPLE_BOT;
+    TUPLE_BOT -> BOT;
 
     // Additional customization
     {rank=same; TOP}
-    {rank=same; INT_TOP}
+    {rank=same; INT_TOP; TUPLE_TOP}
     {rank=same;
       CTRL;
       INT_MIN; INT_MINDOTS; INT_MINUS; INT_ZERO; INT_PLUS; INT_MAXDOTS; INT_MAX;
-      TUPLE
     }
-    {rank=same; INT_BOT}
+    {rank=same; INT_BOT, TUPLE_BOT}
     {rank=same; BOT;}
 }
diff --git a/chapter04/docs/lattice.svg b/chapter04/docs/lattice.svg
index 1cab7681..35cb9296 100644
--- a/chapter04/docs/lattice.svg
+++ b/chapter04/docs/lattice.svg
@@ -4,192 +4,302 @@
 <!-- Generated by graphviz version 12.2.0 (20241103.1931)
  -->
 <!-- Title: Lattice Pages: 1 -->
-<svg width="780pt" height="468pt"
- viewBox="0.00 0.00 779.83 467.88" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
-<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 463.88)">
+<svg width="952pt" height="406pt"
+ viewBox="0.00 0.00 952.00 406.50" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 402.5)">
 <title>Lattice</title>
-<polygon fill="white" stroke="none" points="-4,4 -4,-463.88 775.83,-463.88 775.83,4 -4,4"/>
+<polygon fill="white" stroke="none" points="-4,4 -4,-402.5 948,-402.5 948,4 -4,4"/>
 <!-- TOP -->
 <g id="node1" class="node">
 <title>TOP</title>
-<ellipse fill="black" stroke="black" cx="370.25" cy="-438.75" rx="21.12" ry="21.12"/>
-<text text-anchor="middle" x="370.25" y="-433.33" font-family="Times New Roman,serif" font-size="14.00" fill="white">⊤</text>
+<ellipse fill="black" stroke="black" cx="374" cy="-377.37" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="366.12" y="-372.95" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
 </g>
 <!-- CTRL -->
 <g id="node3" class="node">
 <title>CTRL</title>
-<ellipse fill="yellow" stroke="black" cx="25.25" cy="-229.94" rx="25.25" ry="25.25"/>
-<text text-anchor="middle" x="25.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">Ctrl</text>
+<ellipse fill="yellow" stroke="black" cx="27" cy="-199.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="27" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">ctrl</text>
 </g>
 <!-- TOP&#45;&gt;CTRL -->
-<g id="edge25" class="edge">
+<g id="edge1" class="edge">
 <title>TOP&#45;&gt;CTRL</title>
-<path fill="none" stroke="black" d="M352.19,-427.82C293.82,-392.49 110.39,-281.47 47.03,-243.12"/>
+<path fill="none" stroke="black" d="M354.85,-367.54C297.95,-338.34 129.51,-251.87 58.81,-215.58"/>
+<polygon fill="black" stroke="black" points="60.56,-212.54 50.07,-211.09 57.36,-218.77 60.56,-212.54"/>
 </g>
 <!-- INT_TOP -->
 <g id="node4" class="node">
 <title>INT_TOP</title>
-<ellipse fill="lightblue" stroke="black" cx="370.25" cy="-343.57" rx="38.06" ry="38.06"/>
-<text text-anchor="middle" x="370.25" y="-338.9" font-family="Times New Roman,serif" font-size="14.00">⊤ :Int</text>
+<ellipse fill="lightblue" stroke="black" cx="374" cy="-302.25" rx="33.95" ry="18"/>
+<text text-anchor="start" x="357.12" y="-298.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="372.88" y="-298.2" font-family="Times New Roman,serif" font-size="14.00">:int</text>
 </g>
 <!-- TOP&#45;&gt;INT_TOP -->
-<g id="edge1" class="edge">
+<g id="edge3" class="edge">
 <title>TOP&#45;&gt;INT_TOP</title>
-<path fill="none" stroke="black" d="M370.25,-417.53C370.25,-407.15 370.25,-394.16 370.25,-382.03"/>
+<path fill="none" stroke="black" d="M374,-356C374,-348.51 374,-339.87 374,-331.79"/>
+<polygon fill="black" stroke="black" points="377.5,-332.05 374,-322.05 370.5,-332.05 377.5,-332.05"/>
 </g>
-<!-- TUPLE -->
+<!-- TUPLE_TOP -->
 <g id="node13" class="node">
-<title>TUPLE</title>
-<ellipse fill="pink" stroke="black" cx="732.25" cy="-229.94" rx="39.58" ry="39.58"/>
-<text text-anchor="middle" x="732.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">TUPLE</text>
+<title>TUPLE_TOP</title>
+<ellipse fill="pink" stroke="black" cx="771" cy="-302.25" rx="42.65" ry="18"/>
+<text text-anchor="start" x="747.75" y="-298.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="763.5" y="-298.2" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
 </g>
-<!-- TOP&#45;&gt;TUPLE -->
-<g id="edge23" class="edge">
-<title>TOP&#45;&gt;TUPLE</title>
-<path fill="none" stroke="black" d="M388.95,-427.97C446.64,-394.69 622.49,-293.25 697.62,-249.91"/>
+<!-- TOP&#45;&gt;TUPLE_TOP -->
+<g id="edge25" class="edge">
+<title>TOP&#45;&gt;TUPLE_TOP</title>
+<path fill="none" stroke="black" d="M395.06,-372.49C455.97,-361.27 633.5,-328.57 721.03,-312.45"/>
+<polygon fill="black" stroke="black" points="721.57,-315.91 730.77,-310.66 720.3,-309.03 721.57,-315.91"/>
 </g>
 <!-- BOT -->
 <g id="node2" class="node">
 <title>BOT</title>
-<ellipse fill="black" stroke="black" cx="370.25" cy="-21.12" rx="21.12" ry="21.12"/>
-<text text-anchor="middle" x="370.25" y="-15.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">⊥</text>
+<ellipse fill="black" stroke="black" cx="374" cy="-21.12" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="366.12" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
 </g>
 <!-- CTRL&#45;&gt;BOT -->
-<g id="edge26" class="edge">
+<g id="edge2" class="edge">
 <title>CTRL&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M47.09,-216.72C110.49,-178.35 293.71,-67.45 352.13,-32.09"/>
+<path fill="none" stroke="black" d="M48.71,-188.11C108.7,-157.31 276.83,-71 344.87,-36.08"/>
+<polygon fill="black" stroke="black" points="346.26,-39.3 353.55,-31.62 343.06,-33.07 346.26,-39.3"/>
 </g>
 <!-- INT_MIN -->
 <g id="node6" class="node">
 <title>INT_MIN</title>
-<ellipse fill="lightblue" stroke="black" cx="112.25" cy="-229.94" rx="18.6" ry="18.6"/>
-<text text-anchor="middle" x="112.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
+<ellipse fill="lightblue" stroke="black" cx="116" cy="-199.25" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="116" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MIN -->
-<g id="edge2" class="edge">
+<g id="edge4" class="edge">
 <title>INT_TOP&#45;&gt;INT_MIN</title>
-<path fill="none" stroke="black" d="M335.45,-327.52C279.34,-303.24 170.92,-256.32 129.19,-238.27"/>
+<path fill="none" stroke="black" d="M347.36,-290.82C298.27,-271.6 193.98,-230.78 143.94,-211.18"/>
+<polygon fill="black" stroke="black" points="145.28,-207.95 134.69,-207.56 142.73,-214.47 145.28,-207.95"/>
 </g>
 <!-- INT_MINDOTS -->
 <g id="node7" class="node">
 <title>INT_MINDOTS</title>
-<text text-anchor="middle" x="201.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="205" cy="-199.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="205" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MINDOTS -->
-<g id="edge3" class="edge">
+<g id="edge5" class="edge">
 <title>INT_TOP&#45;&gt;INT_MINDOTS</title>
-<path fill="none" stroke="black" d="M338.86,-321.84C306.59,-300.53 256.96,-267.74 226.95,-247.91"/>
+<path fill="none" stroke="black" d="M352.25,-288.25C322.2,-270.29 267.88,-237.83 234.28,-217.75"/>
+<polygon fill="black" stroke="black" points="236.25,-214.85 225.87,-212.72 232.66,-220.85 236.25,-214.85"/>
 </g>
 <!-- INT_MINUS -->
 <g id="node8" class="node">
 <title>INT_MINUS</title>
-<ellipse fill="lightblue" stroke="black" cx="290.25" cy="-229.94" rx="18.6" ry="18.6"/>
-<text text-anchor="middle" x="290.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">&#45;1</text>
+<ellipse fill="lightblue" stroke="black" cx="294" cy="-199.25" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="294" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">&#45;1</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MINUS -->
-<g id="edge4" class="edge">
+<g id="edge6" class="edge">
 <title>INT_TOP&#45;&gt;INT_MINUS</title>
-<path fill="none" stroke="black" d="M348.39,-312.07C332.94,-290.51 312.9,-262.55 300.84,-245.72"/>
+<path fill="none" stroke="black" d="M361.5,-285.47C348.27,-268.76 327.25,-242.23 312.18,-223.21"/>
+<polygon fill="black" stroke="black" points="315.02,-221.14 306.06,-215.48 309.53,-225.49 315.02,-221.14"/>
 </g>
 <!-- INT_ZERO -->
 <g id="node9" class="node">
 <title>INT_ZERO</title>
-<ellipse fill="lightblue" stroke="black" cx="370.25" cy="-229.94" rx="18" ry="18"/>
-<text text-anchor="middle" x="370.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">0</text>
+<ellipse fill="lightblue" stroke="black" cx="374" cy="-199.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="374" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">0</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_ZERO -->
-<g id="edge5" class="edge">
+<g id="edge7" class="edge">
 <title>INT_TOP&#45;&gt;INT_ZERO</title>
-<path fill="none" stroke="black" d="M370.25,-305.09C370.25,-285.83 370.25,-263.3 370.25,-248.18"/>
+<path fill="none" stroke="black" d="M374,-284.12C374,-269.02 374,-246.74 374,-228.93"/>
+<polygon fill="black" stroke="black" points="377.5,-228.98 374,-218.98 370.5,-228.98 377.5,-228.98"/>
 </g>
 <!-- INT_PLUS -->
 <g id="node10" class="node">
 <title>INT_PLUS</title>
-<ellipse fill="lightblue" stroke="black" cx="449.25" cy="-229.94" rx="18" ry="18"/>
-<text text-anchor="middle" x="449.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">1</text>
+<ellipse fill="lightblue" stroke="black" cx="453" cy="-199.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="453" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">1</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_PLUS -->
-<g id="edge6" class="edge">
+<g id="edge8" class="edge">
 <title>INT_TOP&#45;&gt;INT_PLUS</title>
-<path fill="none" stroke="black" d="M392.05,-311.77C407.39,-290.09 427.23,-262.05 439.06,-245.34"/>
+<path fill="none" stroke="black" d="M386.34,-285.47C399.49,-268.67 420.4,-241.93 435.3,-222.88"/>
+<polygon fill="black" stroke="black" points="437.93,-225.2 441.33,-215.17 432.41,-220.89 437.93,-225.2"/>
 </g>
 <!-- INT_MAXDOTS -->
 <g id="node11" class="node">
 <title>INT_MAXDOTS</title>
-<text text-anchor="middle" x="537.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="541" cy="-199.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="541" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MAXDOTS -->
-<g id="edge7" class="edge">
+<g id="edge9" class="edge">
 <title>INT_TOP&#45;&gt;INT_MAXDOTS</title>
-<path fill="none" stroke="black" d="M401.66,-321.58C433.6,-300.23 482.46,-267.57 511.98,-247.83"/>
+<path fill="none" stroke="black" d="M395.83,-288.04C425.56,-270.07 478.84,-237.84 511.93,-217.83"/>
+<polygon fill="black" stroke="black" points="513.46,-221 520.2,-212.83 509.84,-215.01 513.46,-221"/>
 </g>
 <!-- INT_MAX -->
 <g id="node12" class="node">
 <title>INT_MAX</title>
-<ellipse fill="lightblue" stroke="black" cx="628.25" cy="-229.94" rx="21.15" ry="21.15"/>
-<text text-anchor="middle" x="628.25" y="-224.89" font-family="Times New Roman,serif" font-size="14.00">+n</text>
+<ellipse fill="lightblue" stroke="black" cx="632" cy="-199.25" rx="21.15" ry="21.15"/>
+<text text-anchor="middle" x="632" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">+n</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MAX -->
-<g id="edge8" class="edge">
+<g id="edge10" class="edge">
 <title>INT_TOP&#45;&gt;INT_MAX</title>
-<path fill="none" stroke="black" d="M405.04,-327.52C460.06,-303.71 565.35,-258.16 608.78,-239.36"/>
+<path fill="none" stroke="black" d="M400.64,-290.82C449,-271.89 550.91,-231.99 601.78,-212.08"/>
+<polygon fill="black" stroke="black" points="602.96,-215.38 610.99,-208.47 600.41,-208.86 602.96,-215.38"/>
 </g>
 <!-- INT_BOT -->
 <g id="node5" class="node">
 <title>INT_BOT</title>
-<ellipse fill="lightblue" stroke="black" cx="370.25" cy="-116.3" rx="38.06" ry="38.06"/>
-<text text-anchor="middle" x="370.25" y="-111.63" font-family="Times New Roman,serif" font-size="14.00">⊥ :Int</text>
+<ellipse fill="lightblue" stroke="black" cx="374" cy="-96.25" rx="33.95" ry="18"/>
+<text text-anchor="start" x="357.12" y="-92.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="372.88" y="-92.2" font-family="Times New Roman,serif" font-size="14.00">:int</text>
 </g>
 <!-- INT_BOT&#45;&gt;BOT -->
-<g id="edge16" class="edge">
+<g id="edge18" class="edge">
 <title>INT_BOT&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M370.25,-77.94C370.25,-65.89 370.25,-52.98 370.25,-42.62"/>
+<path fill="none" stroke="black" d="M374,-77.92C374,-70.74 374,-62.18 374,-53.95"/>
+<polygon fill="black" stroke="black" points="377.5,-54.22 374,-44.22 370.5,-54.22 377.5,-54.22"/>
 </g>
 <!-- INT_MIN&#45;&gt;INT_BOT -->
-<g id="edge9" class="edge">
+<g id="edge11" class="edge">
 <title>INT_MIN&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M129.18,-221.61C170.88,-203.57 279.24,-156.68 335.39,-132.39"/>
+<path fill="none" stroke="black" d="M133.33,-191.46C174.74,-175.25 280.22,-133.96 336.8,-111.81"/>
+<polygon fill="black" stroke="black" points="337.98,-115.11 346.02,-108.2 335.43,-108.59 337.98,-115.11"/>
 </g>
 <!-- INT_MIN&#45;&gt;INT_MINDOTS -->
 <!-- INT_MINDOTS&#45;&gt;INT_BOT -->
-<g id="edge10" class="edge">
+<g id="edge12" class="edge">
 <title>INT_MINDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M226.92,-211.98C256.83,-192.22 306.29,-159.56 338.57,-138.23"/>
+<path fill="none" stroke="black" d="M224.72,-186.46C253.64,-169.18 307.88,-136.76 342.4,-116.13"/>
+<polygon fill="black" stroke="black" points="343.92,-119.3 350.71,-111.17 340.33,-113.29 343.92,-119.3"/>
 </g>
 <!-- INT_MINDOTS&#45;&gt;INT_MINUS -->
 <!-- INT_MINUS&#45;&gt;INT_BOT -->
-<g id="edge11" class="edge">
+<g id="edge13" class="edge">
 <title>INT_MINUS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M300.71,-214.34C312.74,-197.56 332.82,-169.54 348.32,-147.91"/>
+<path fill="none" stroke="black" d="M305.12,-184.2C317.82,-168.18 338.81,-141.67 354.29,-122.13"/>
+<polygon fill="black" stroke="black" points="356.98,-124.37 360.45,-114.35 351.5,-120.02 356.98,-124.37"/>
 </g>
 <!-- INT_MINUS&#45;&gt;INT_ZERO -->
 <!-- INT_ZERO&#45;&gt;INT_BOT -->
-<g id="edge12" class="edge">
+<g id="edge14" class="edge">
 <title>INT_ZERO&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M370.25,-211.5C370.25,-196.29 370.25,-173.71 370.25,-154.48"/>
+<path fill="none" stroke="black" d="M374,-181.12C374,-166.02 374,-143.74 374,-125.93"/>
+<polygon fill="black" stroke="black" points="377.5,-125.98 374,-115.98 370.5,-125.98 377.5,-125.98"/>
 </g>
 <!-- INT_ZERO&#45;&gt;INT_PLUS -->
 <!-- INT_PLUS&#45;&gt;INT_BOT -->
-<g id="edge13" class="edge">
+<g id="edge15" class="edge">
 <title>INT_PLUS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M439.24,-214.8C427.37,-198.02 407.23,-169.57 391.77,-147.71"/>
+<path fill="none" stroke="black" d="M442.35,-184.63C429.9,-168.71 409.04,-142.04 393.63,-122.35"/>
+<polygon fill="black" stroke="black" points="396.42,-120.23 387.5,-114.51 390.9,-124.54 396.42,-120.23"/>
 </g>
 <!-- INT_PLUS&#45;&gt;INT_MAXDOTS -->
 <!-- INT_MAXDOTS&#45;&gt;INT_BOT -->
-<g id="edge14" class="edge">
+<g id="edge16" class="edge">
 <title>INT_MAXDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M511.89,-211.98C482.32,-192.22 433.46,-159.56 401.56,-138.23"/>
+<path fill="none" stroke="black" d="M521.52,-186.46C492.93,-169.18 439.34,-136.76 405.22,-116.13"/>
+<polygon fill="black" stroke="black" points="407.39,-113.35 397.03,-111.17 403.77,-119.34 407.39,-113.35"/>
 </g>
 <!-- INT_MAXDOTS&#45;&gt;INT_MAX -->
 <!-- INT_MAX&#45;&gt;INT_BOT -->
-<g id="edge15" class="edge">
+<g id="edge17" class="edge">
 <title>INT_MAX&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M608.86,-220.55C565.5,-201.79 460.2,-156.22 405.12,-132.39"/>
-</g>
-<!-- TUPLE&#45;&gt;BOT -->
-<g id="edge24" class="edge">
-<title>TUPLE&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M697.54,-209.92C622.33,-166.53 446.47,-65.09 388.87,-31.87"/>
+<path fill="none" stroke="black" d="M612.61,-190.66C569.87,-173.93 466.96,-133.64 411.28,-111.84"/>
+<polygon fill="black" stroke="black" points="412.8,-108.68 402.21,-108.29 410.25,-115.2 412.8,-108.68"/>
+</g>
+<!-- TUPLE1 -->
+<g id="node15" class="node">
+<title>TUPLE1</title>
+<polygon fill="none" stroke="none" points="750,-225.75 696,-225.75 696,-172.75 750,-172.75 750,-225.75"/>
+<polygon fill="pink" stroke="none" points="706.5,-199.25 706.5,-221.75 739.5,-221.75 739.5,-199.25 706.5,-199.25"/>
+<polygon fill="none" stroke="black" points="706.5,-199.25 706.5,-221.75 739.5,-221.75 739.5,-199.25 706.5,-199.25"/>
+<text text-anchor="start" x="709.5" y="-205.45" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="706.5,-176.75 706.5,-199.25 739.5,-199.25 739.5,-176.75 706.5,-176.75"/>
+<polygon fill="none" stroke="black" points="706.5,-176.75 706.5,-199.25 739.5,-199.25 739.5,-176.75 706.5,-176.75"/>
+<text text-anchor="start" x="711.38" y="-182.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE1 -->
+<g id="edge26" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE1</title>
+<path fill="none" stroke="black" d="M762.86,-284.12C756.58,-270.91 747.69,-252.2 739.89,-235.8"/>
+<polygon fill="black" stroke="black" points="743.07,-234.33 735.62,-226.8 736.75,-237.34 743.07,-234.33"/>
+</g>
+<!-- TUPLE2 -->
+<g id="node16" class="node">
+<title>TUPLE2</title>
+<polygon fill="none" stroke="none" points="847,-237 793,-237 793,-161.5 847,-161.5 847,-237"/>
+<polygon fill="pink" stroke="none" points="803.5,-210.5 803.5,-233 836.5,-233 836.5,-210.5 803.5,-210.5"/>
+<polygon fill="none" stroke="black" points="803.5,-210.5 803.5,-233 836.5,-233 836.5,-210.5 803.5,-210.5"/>
+<text text-anchor="start" x="806.5" y="-216.7" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="803.5,-188 803.5,-210.5 836.5,-210.5 836.5,-188 803.5,-188"/>
+<polygon fill="none" stroke="black" points="803.5,-188 803.5,-210.5 836.5,-210.5 836.5,-188 803.5,-188"/>
+<text text-anchor="start" x="808.38" y="-194.2" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="803.5,-165.5 803.5,-188 836.5,-188 836.5,-165.5 803.5,-165.5"/>
+<polygon fill="none" stroke="black" points="803.5,-165.5 803.5,-188 836.5,-188 836.5,-165.5 803.5,-165.5"/>
+<text text-anchor="start" x="808.38" y="-171.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE2 -->
+<g id="edge27" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE2</title>
+<path fill="none" stroke="black" d="M779.31,-284.12C784.32,-273.8 790.95,-260.12 797.41,-246.81"/>
+<polygon fill="black" stroke="black" points="800.41,-248.65 801.62,-238.13 794.11,-245.6 800.41,-248.65"/>
+</g>
+<!-- TUPLEN -->
+<g id="node17" class="node">
+<title>TUPLEN</title>
+<polygon fill="none" stroke="none" points="944,-248.25 890,-248.25 890,-150.25 944,-150.25 944,-248.25"/>
+<polygon fill="pink" stroke="none" points="900.5,-221.75 900.5,-244.25 933.5,-244.25 933.5,-221.75 900.5,-221.75"/>
+<polygon fill="none" stroke="black" points="900.5,-221.75 900.5,-244.25 933.5,-244.25 933.5,-221.75 900.5,-221.75"/>
+<text text-anchor="start" x="903.5" y="-227.95" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="900.5,-199.25 900.5,-221.75 933.5,-221.75 933.5,-199.25 900.5,-199.25"/>
+<polygon fill="none" stroke="black" points="900.5,-199.25 900.5,-221.75 933.5,-221.75 933.5,-199.25 900.5,-199.25"/>
+<text text-anchor="start" x="905.38" y="-205.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="900.5,-176.75 900.5,-199.25 933.5,-199.25 933.5,-176.75 900.5,-176.75"/>
+<polygon fill="none" stroke="black" points="900.5,-176.75 900.5,-199.25 933.5,-199.25 933.5,-176.75 900.5,-176.75"/>
+<text text-anchor="start" x="911.38" y="-182.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">...</text>
+<polygon fill="black" stroke="none" points="900.5,-154.25 900.5,-176.75 933.5,-176.75 933.5,-154.25 900.5,-154.25"/>
+<polygon fill="none" stroke="black" points="900.5,-154.25 900.5,-176.75 933.5,-176.75 933.5,-154.25 900.5,-154.25"/>
+<text text-anchor="start" x="905.38" y="-160.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLEN -->
+<g id="edge28" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLEN</title>
+<path fill="none" stroke="black" d="M792.54,-286.35C815.75,-270.29 853.06,-244.48 880.79,-225.3"/>
+<polygon fill="black" stroke="black" points="882.68,-228.25 888.91,-219.68 878.7,-222.49 882.68,-228.25"/>
+</g>
+<!-- TUPLE_BOT -->
+<g id="node14" class="node">
+<title>TUPLE_BOT</title>
+<ellipse fill="pink" stroke="black" cx="771" cy="-96.25" rx="42.65" ry="18"/>
+<text text-anchor="start" x="747.75" y="-92.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="763.5" y="-92.2" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+</g>
+<!-- TUPLE_BOT&#45;&gt;BOT -->
+<g id="edge32" class="edge">
+<title>TUPLE_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M732.57,-88.17C654.42,-73.77 478.23,-41.32 405.9,-28"/>
+<polygon fill="black" stroke="black" points="406.78,-24.6 396.31,-26.23 405.51,-31.49 406.78,-24.6"/>
+</g>
+<!-- TUPLE1&#45;&gt;TUPLE_BOT -->
+<g id="edge29" class="edge">
+<title>TUPLE1&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M735.11,-172.76C742.13,-158 750.96,-139.41 758.11,-124.38"/>
+<polygon fill="black" stroke="black" points="761.18,-126.06 762.31,-115.53 754.86,-123.06 761.18,-126.06"/>
+</g>
+<!-- TUPLE2&#45;&gt;TUPLE_BOT -->
+<g id="edge30" class="edge">
+<title>TUPLE2&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M802.17,-161.5C796.24,-149.27 789.75,-135.89 784.23,-124.51"/>
+<polygon fill="black" stroke="black" points="787.46,-123.15 779.94,-115.69 781.16,-126.21 787.46,-123.15"/>
+</g>
+<!-- TUPLEN&#45;&gt;TUPLE_BOT -->
+<g id="edge31" class="edge">
+<title>TUPLEN&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M890.22,-179.72C865.26,-162.45 828.04,-136.71 801.84,-118.58"/>
+<polygon fill="black" stroke="black" points="803.85,-115.72 793.64,-112.91 799.87,-121.47 803.85,-115.72"/>
 </g>
 </g>
 </svg>
diff --git a/chapter06/docs/lattice.gv b/chapter06/docs/lattice.gv
index 782c2253..e5cc59be 100644
--- a/chapter06/docs/lattice.gv
+++ b/chapter06/docs/lattice.gv
@@ -4,27 +4,30 @@ digraph Lattice {
     node [shape=circle, style=filled, fillcolor=lightblue];
     nodesep=0.6;
 
-    TOP [label="⊤" , fillcolor=black, fontcolor=white];
-    BOT [label="⊥", fillcolor=black, fontcolor=white];
+    TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
+    BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
 
-    XCTRL [label="⊤ :Ctrl", fillcolor=yellow];
-    CTRL  [label="⊥ :Ctrl", fillcolor=yellow];
+    // ----------------------
+    // Control
+    XCTRL [label=<<B>⊤</B >:ctrl>, fillcolor=yellow, shape=oval];
+    CTRL  [label=<<B>⊥</B>:ctrl>, fillcolor=yellow, shape=oval];
 
-    INT_TOP [label="⊤ :Int"];
-    INT_BOT [label="⊥ :Int"];
-
-    INT_MIN [label="-n"];
-    INT_MINUS [label="-1"];
-    INT_MINDOTS [label="..." shape=none style=none];
-    INT_ZERO [label="0"];
-    INT_PLUS [label="1"];
-    INT_MAXDOTS [label="..." shape=none style=none];
-    INT_MAX [label="+n"];
+    TOP   -> XCTRL;
+    XCTRL -> CTRL;
+    CTRL  -> BOT;
 
-    TUPLE [label="TUPLE", fillcolor=pink];
+    // ----------------------
+    // Integers
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
+    INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
 
-    // Define edges
-    edge [arrowhead=none];
+    INT_MIN     [label="-n" , fillcolor=lightblue];
+    INT_MINDOTS [label="...", fillcolor=lightblue shape=oval];
+    INT_MINUS   [label="-1" , fillcolor=lightblue];
+    INT_ZERO    [label="0"  , fillcolor=lightblue];
+    INT_PLUS    [label="1"  , fillcolor=lightblue];
+    INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
+    INT_MAX     [label="+n" , fillcolor=lightblue];
 
     TOP         -> INT_TOP;
     INT_TOP     -> INT_MIN;
@@ -44,18 +47,51 @@ digraph Lattice {
     INT_BOT     -> BOT;
 
     INT_MIN -> INT_MINDOTS -> INT_MINUS -> INT_ZERO -> INT_PLUS -> INT_MAXDOTS -> INT_MAX [style=invis];
+    
+    // ----------------------
+    // Tuples
 
-    TOP   -> TUPLE;
-    TUPLE -> BOT;
+    TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
 
-    TOP   -> XCTRL;
-    XCTRL -> CTRL;
-    CTRL  -> BOT;
+    TUPLE1 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLE2 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLEN [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">...</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+
+
+    TOP -> TUPLE_TOP;
+    TUPLE_TOP -> TUPLE1;
+    TUPLE_TOP -> TUPLE2;
+    TUPLE_TOP -> TUPLEN;
+    TUPLE1 -> TUPLE_BOT;
+    TUPLE2 -> TUPLE_BOT;
+    TUPLEN -> TUPLE_BOT;
+    TUPLE_BOT -> BOT;
 
     // Additional customization
     {rank=same; TOP}
-    {rank=same; INT_TOP; XCTRL}
-    {rank=same; INT_MIN; INT_MINDOTS; INT_MINUS; INT_ZERO; INT_PLUS; INT_MAXDOTS; INT_MAX; TUPLE }
-    {rank=same; INT_BOT; CTRL}
+    {rank=same; XCTRL; INT_TOP; TUPLE_TOP}
+    {rank=same;
+      INT_MIN; INT_MINDOTS; INT_MINUS; INT_ZERO; INT_PLUS; INT_MAXDOTS; INT_MAX;
+    }
+    {rank=same; CTRL; INT_BOT, TUPLE_BOT}
     {rank=same; BOT;}
 }
diff --git a/chapter06/docs/lattice.svg b/chapter06/docs/lattice.svg
index f4929b41..86371c93 100644
--- a/chapter06/docs/lattice.svg
+++ b/chapter06/docs/lattice.svg
@@ -4,203 +4,316 @@
 <!-- Generated by graphviz version 12.2.0 (20241103.1931)
  -->
 <!-- Title: Lattice Pages: 1 -->
-<svg width="686pt" height="485pt"
- viewBox="0.00 0.00 686.18 484.71" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
-<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 480.71)">
+<svg width="855pt" height="406pt"
+ viewBox="0.00 0.00 854.60 406.50" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 402.5)">
 <title>Lattice</title>
-<polygon fill="white" stroke="none" points="-4,4 -4,-480.71 682.18,-480.71 682.18,4 -4,4"/>
+<polygon fill="white" stroke="none" points="-4,4 -4,-402.5 850.6,-402.5 850.6,4 -4,4"/>
 <!-- TOP -->
 <g id="node1" class="node">
 <title>TOP</title>
-<ellipse fill="black" stroke="black" cx="276.6" cy="-455.59" rx="21.12" ry="21.12"/>
-<text text-anchor="middle" x="276.6" y="-450.16" font-family="Times New Roman,serif" font-size="14.00" fill="white">⊤</text>
+<ellipse fill="black" stroke="black" cx="276.6" cy="-377.37" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="268.72" y="-372.95" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
 </g>
 <!-- XCTRL -->
 <g id="node3" class="node">
 <title>XCTRL</title>
-<ellipse fill="yellow" stroke="black" cx="44.6" cy="-356.2" rx="42.26" ry="42.26"/>
-<text text-anchor="middle" x="44.6" y="-351.53" font-family="Times New Roman,serif" font-size="14.00">⊤ :Ctrl</text>
+<ellipse fill="yellow" stroke="black" cx="49.6" cy="-302.25" rx="36.51" ry="18"/>
+<text text-anchor="start" x="30.85" y="-298.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="46.6" y="-298.2" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
 </g>
 <!-- TOP&#45;&gt;XCTRL -->
-<g id="edge25" class="edge">
+<g id="edge1" class="edge">
 <title>TOP&#45;&gt;XCTRL</title>
-<path fill="none" stroke="black" d="M257.21,-446.45C219.1,-430.45 133.74,-394.62 83.54,-373.55"/>
+<path fill="none" stroke="black" d="M256.45,-369.88C219.31,-357.92 139.36,-332.16 90.45,-316.41"/>
+<polygon fill="black" stroke="black" points="91.65,-313.12 81.06,-313.38 89.51,-319.78 91.65,-313.12"/>
 </g>
 <!-- INT_TOP -->
 <g id="node5" class="node">
 <title>INT_TOP</title>
-<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-356.2" rx="38.06" ry="38.06"/>
-<text text-anchor="middle" x="276.6" y="-351.53" font-family="Times New Roman,serif" font-size="14.00">⊤ :Int</text>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-302.25" rx="33.95" ry="18"/>
+<text text-anchor="start" x="259.72" y="-298.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="275.47" y="-298.2" font-family="Times New Roman,serif" font-size="14.00">:int</text>
 </g>
 <!-- TOP&#45;&gt;INT_TOP -->
-<g id="edge1" class="edge">
+<g id="edge4" class="edge">
 <title>TOP&#45;&gt;INT_TOP</title>
-<path fill="none" stroke="black" d="M276.6,-434.41C276.6,-422.93 276.6,-408.19 276.6,-394.67"/>
+<path fill="none" stroke="black" d="M276.6,-356C276.6,-348.51 276.6,-339.87 276.6,-331.79"/>
+<polygon fill="black" stroke="black" points="280.1,-332.05 276.6,-322.05 273.1,-332.05 280.1,-332.05"/>
 </g>
-<!-- TUPLE -->
+<!-- TUPLE_TOP -->
 <g id="node14" class="node">
-<title>TUPLE</title>
-<ellipse fill="pink" stroke="black" cx="638.6" cy="-238.36" rx="39.58" ry="39.58"/>
-<text text-anchor="middle" x="638.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">TUPLE</text>
+<title>TUPLE_TOP</title>
+<ellipse fill="pink" stroke="black" cx="673.6" cy="-302.25" rx="42.65" ry="18"/>
+<text text-anchor="start" x="650.35" y="-298.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="666.1" y="-298.2" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
 </g>
-<!-- TOP&#45;&gt;TUPLE -->
-<g id="edge23" class="edge">
-<title>TOP&#45;&gt;TUPLE</title>
-<path fill="none" stroke="black" d="M295.05,-444.52C352.6,-409.98 529.5,-303.82 604.46,-258.84"/>
+<!-- TOP&#45;&gt;TUPLE_TOP -->
+<g id="edge26" class="edge">
+<title>TOP&#45;&gt;TUPLE_TOP</title>
+<path fill="none" stroke="black" d="M297.66,-372.49C358.57,-361.27 536.1,-328.57 623.62,-312.45"/>
+<polygon fill="black" stroke="black" points="624.16,-315.91 633.36,-310.66 622.89,-309.03 624.16,-315.91"/>
 </g>
 <!-- BOT -->
 <g id="node2" class="node">
 <title>BOT</title>
 <ellipse fill="black" stroke="black" cx="276.6" cy="-21.12" rx="21.12" ry="21.12"/>
-<text text-anchor="middle" x="276.6" y="-15.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">⊥</text>
+<text text-anchor="start" x="268.72" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
 </g>
 <!-- CTRL -->
 <g id="node4" class="node">
 <title>CTRL</title>
-<ellipse fill="yellow" stroke="black" cx="44.6" cy="-120.51" rx="42.26" ry="42.26"/>
-<text text-anchor="middle" x="44.6" y="-115.84" font-family="Times New Roman,serif" font-size="14.00">⊥ :Ctrl</text>
+<ellipse fill="yellow" stroke="black" cx="49.6" cy="-96.25" rx="36.51" ry="18"/>
+<text text-anchor="start" x="30.85" y="-92.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="46.6" y="-92.2" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
 </g>
 <!-- XCTRL&#45;&gt;CTRL -->
-<g id="edge26" class="edge">
+<g id="edge2" class="edge">
 <title>XCTRL&#45;&gt;CTRL</title>
-<path fill="none" stroke="black" d="M44.6,-313.52C44.6,-270.94 44.6,-205.88 44.6,-163.27"/>
+<path fill="none" stroke="black" d="M49.6,-283.97C49.6,-248.31 49.6,-169.19 49.6,-125.93"/>
+<polygon fill="black" stroke="black" points="53.1,-126 49.6,-116 46.1,-126 53.1,-126"/>
 </g>
 <!-- CTRL&#45;&gt;BOT -->
-<g id="edge27" class="edge">
+<g id="edge3" class="edge">
 <title>CTRL&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M83.43,-103.21C133.61,-82.15 219.04,-46.28 257.2,-30.27"/>
+<path fill="none" stroke="black" d="M79.74,-85.54C122.92,-71.63 201.96,-46.17 245.6,-32.11"/>
+<polygon fill="black" stroke="black" points="246.52,-35.49 254.96,-29.09 244.37,-28.83 246.52,-35.49"/>
 </g>
 <!-- INT_MIN -->
 <g id="node7" class="node">
 <title>INT_MIN</title>
-<ellipse fill="lightblue" stroke="black" cx="18.6" cy="-238.36" rx="18.6" ry="18.6"/>
-<text text-anchor="middle" x="18.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
+<ellipse fill="lightblue" stroke="black" cx="18.6" cy="-199.25" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="18.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MIN -->
-<g id="edge2" class="edge">
+<g id="edge5" class="edge">
 <title>INT_TOP&#45;&gt;INT_MIN</title>
-<path fill="none" stroke="black" d="M242.07,-339.7C186.05,-314.54 77.4,-265.76 35.58,-246.98"/>
-</g>
-<!-- INT_MINUS -->
-<g id="node8" class="node">
-<title>INT_MINUS</title>
-<ellipse fill="lightblue" stroke="black" cx="196.6" cy="-238.36" rx="18.6" ry="18.6"/>
-<text text-anchor="middle" x="196.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">&#45;1</text>
-</g>
-<!-- INT_TOP&#45;&gt;INT_MINUS -->
-<g id="edge4" class="edge">
-<title>INT_TOP&#45;&gt;INT_MINUS</title>
-<path fill="none" stroke="black" d="M255.16,-324.16C239.51,-301.5 219,-271.8 206.87,-254.23"/>
+<path fill="none" stroke="black" d="M249.96,-290.82C200.87,-271.6 96.58,-230.78 46.53,-211.18"/>
+<polygon fill="black" stroke="black" points="47.87,-207.95 37.29,-207.56 45.32,-214.47 47.87,-207.95"/>
 </g>
 <!-- INT_MINDOTS -->
-<g id="node9" class="node">
+<g id="node8" class="node">
 <title>INT_MINDOTS</title>
-<text text-anchor="middle" x="107.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="107.6" cy="-199.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="107.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MINDOTS -->
-<g id="edge3" class="edge">
+<g id="edge6" class="edge">
 <title>INT_TOP&#45;&gt;INT_MINDOTS</title>
-<path fill="none" stroke="black" d="M245.6,-333.95C213.01,-311.61 162.38,-276.91 132.36,-256.33"/>
+<path fill="none" stroke="black" d="M254.85,-288.25C224.79,-270.29 170.48,-237.83 136.88,-217.75"/>
+<polygon fill="black" stroke="black" points="138.84,-214.85 128.46,-212.72 135.25,-220.85 138.84,-214.85"/>
+</g>
+<!-- INT_MINUS -->
+<g id="node9" class="node">
+<title>INT_MINUS</title>
+<ellipse fill="lightblue" stroke="black" cx="196.6" cy="-199.25" rx="18.6" ry="18.6"/>
+<text text-anchor="middle" x="196.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">&#45;1</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MINUS -->
+<g id="edge7" class="edge">
+<title>INT_TOP&#45;&gt;INT_MINUS</title>
+<path fill="none" stroke="black" d="M264.1,-285.47C250.86,-268.76 229.85,-242.23 214.78,-223.21"/>
+<polygon fill="black" stroke="black" points="217.61,-221.14 208.66,-215.48 212.12,-225.49 217.61,-221.14"/>
 </g>
 <!-- INT_ZERO -->
 <g id="node10" class="node">
 <title>INT_ZERO</title>
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-<text text-anchor="middle" x="276.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">0</text>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-199.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="276.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">0</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_ZERO -->
-<g id="edge5" class="edge">
+<g id="edge8" class="edge">
 <title>INT_TOP&#45;&gt;INT_ZERO</title>
-<path fill="none" stroke="black" d="M276.6,-317.91C276.6,-297.4 276.6,-272.93 276.6,-256.82"/>
+<path fill="none" stroke="black" d="M276.6,-284.12C276.6,-269.02 276.6,-246.74 276.6,-228.93"/>
+<polygon fill="black" stroke="black" points="280.1,-228.98 276.6,-218.98 273.1,-228.98 280.1,-228.98"/>
 </g>
 <!-- INT_PLUS -->
 <g id="node11" class="node">
 <title>INT_PLUS</title>
-<ellipse fill="lightblue" stroke="black" cx="355.6" cy="-238.36" rx="18" ry="18"/>
-<text text-anchor="middle" x="355.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">1</text>
+<ellipse fill="lightblue" stroke="black" cx="355.6" cy="-199.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="355.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">1</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_PLUS -->
-<g id="edge6" class="edge">
+<g id="edge9" class="edge">
 <title>INT_TOP&#45;&gt;INT_PLUS</title>
-<path fill="none" stroke="black" d="M297.77,-324.16C313.31,-301.37 333.71,-271.45 345.66,-253.92"/>
+<path fill="none" stroke="black" d="M288.94,-285.47C302.08,-268.67 323,-241.93 337.89,-222.88"/>
+<polygon fill="black" stroke="black" points="340.52,-225.2 343.93,-215.17 335.01,-220.89 340.52,-225.2"/>
 </g>
 <!-- INT_MAXDOTS -->
 <g id="node12" class="node">
 <title>INT_MAXDOTS</title>
-<text text-anchor="middle" x="443.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="443.6" cy="-199.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="443.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MAXDOTS -->
-<g id="edge7" class="edge">
+<g id="edge10" class="edge">
 <title>INT_TOP&#45;&gt;INT_MAXDOTS</title>
-<path fill="none" stroke="black" d="M307.62,-333.68C339.88,-311.3 389.71,-276.74 419.25,-256.25"/>
+<path fill="none" stroke="black" d="M298.43,-288.04C328.15,-270.07 381.44,-237.84 414.52,-217.83"/>
+<polygon fill="black" stroke="black" points="416.05,-221 422.8,-212.83 412.43,-215.01 416.05,-221"/>
 </g>
 <!-- INT_MAX -->
 <g id="node13" class="node">
 <title>INT_MAX</title>
-<ellipse fill="lightblue" stroke="black" cx="534.6" cy="-238.36" rx="21.15" ry="21.15"/>
-<text text-anchor="middle" x="534.6" y="-233.31" font-family="Times New Roman,serif" font-size="14.00">+n</text>
+<ellipse fill="lightblue" stroke="black" cx="534.6" cy="-199.25" rx="21.15" ry="21.15"/>
+<text text-anchor="middle" x="534.6" y="-194.2" font-family="Times New Roman,serif" font-size="14.00">+n</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MAX -->
-<g id="edge8" class="edge">
+<g id="edge11" class="edge">
 <title>INT_TOP&#45;&gt;INT_MAX</title>
-<path fill="none" stroke="black" d="M311.12,-339.7C366.18,-314.97 472.08,-267.43 515.4,-247.97"/>
+<path fill="none" stroke="black" d="M303.23,-290.82C351.59,-271.89 453.51,-231.99 504.38,-212.08"/>
+<polygon fill="black" stroke="black" points="505.55,-215.38 513.59,-208.47 503,-208.86 505.55,-215.38"/>
 </g>
 <!-- INT_BOT -->
 <g id="node6" class="node">
 <title>INT_BOT</title>
-<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-120.51" rx="38.06" ry="38.06"/>
-<text text-anchor="middle" x="276.6" y="-115.84" font-family="Times New Roman,serif" font-size="14.00">⊥ :Int</text>
+<ellipse fill="lightblue" stroke="black" cx="276.6" cy="-96.25" rx="33.95" ry="18"/>
+<text text-anchor="start" x="259.72" y="-92.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="275.47" y="-92.2" font-family="Times New Roman,serif" font-size="14.00">:int</text>
 </g>
 <!-- INT_BOT&#45;&gt;BOT -->
-<g id="edge16" class="edge">
+<g id="edge19" class="edge">
 <title>INT_BOT&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M276.6,-82.14C276.6,-68.73 276.6,-54.11 276.6,-42.65"/>
+<path fill="none" stroke="black" d="M276.6,-77.92C276.6,-70.74 276.6,-62.18 276.6,-53.95"/>
+<polygon fill="black" stroke="black" points="280.1,-54.22 276.6,-44.22 273.1,-54.22 280.1,-54.22"/>
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 <!-- INT_MIN&#45;&gt;INT_BOT -->
-<g id="edge9" class="edge">
+<g id="edge12" class="edge">
 <title>INT_MIN&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M35.52,-229.76C77.34,-210.98 186.17,-162.11 242.19,-136.96"/>
+<path fill="none" stroke="black" d="M35.92,-191.46C77.34,-175.25 182.81,-133.96 239.39,-111.81"/>
+<polygon fill="black" stroke="black" points="240.58,-115.11 248.62,-108.2 238.03,-108.59 240.58,-115.11"/>
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 <!-- INT_MIN&#45;&gt;INT_MINDOTS -->
-<!-- INT_MINUS&#45;&gt;INT_BOT -->
-<g id="edge11" class="edge">
-<title>INT_MINUS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M206.73,-222.68C218.92,-205.03 239.72,-174.92 255.46,-152.12"/>
-</g>
-<!-- INT_MINUS&#45;&gt;INT_ZERO -->
 <!-- INT_MINDOTS&#45;&gt;INT_BOT -->
-<g id="edge10" class="edge">
+<g id="edge13" class="edge">
 <title>INT_MINDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M132.17,-220.51C162.11,-199.99 212.71,-165.3 245.38,-142.91"/>
+<path fill="none" stroke="black" d="M127.31,-186.46C156.24,-169.18 210.48,-136.76 245,-116.13"/>
+<polygon fill="black" stroke="black" points="246.52,-119.3 253.3,-111.17 242.93,-113.29 246.52,-119.3"/>
 </g>
 <!-- INT_MINDOTS&#45;&gt;INT_MINUS -->
+<!-- INT_MINUS&#45;&gt;INT_BOT -->
+<g id="edge14" class="edge">
+<title>INT_MINUS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M207.72,-184.2C220.41,-168.18 241.41,-141.67 256.89,-122.13"/>
+<polygon fill="black" stroke="black" points="259.58,-124.37 263.05,-114.35 254.09,-120.02 259.58,-124.37"/>
+</g>
+<!-- INT_MINUS&#45;&gt;INT_ZERO -->
 <!-- INT_ZERO&#45;&gt;INT_BOT -->
-<g id="edge12" class="edge">
+<g id="edge15" class="edge">
 <title>INT_ZERO&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M276.6,-220.01C276.6,-203.86 276.6,-179.23 276.6,-158.64"/>
+<path fill="none" stroke="black" d="M276.6,-181.12C276.6,-166.02 276.6,-143.74 276.6,-125.93"/>
+<polygon fill="black" stroke="black" points="280.1,-125.98 276.6,-115.98 273.1,-125.98 280.1,-125.98"/>
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 <!-- INT_ZERO&#45;&gt;INT_PLUS -->
 <!-- INT_PLUS&#45;&gt;INT_BOT -->
-<g id="edge13" class="edge">
+<g id="edge16" class="edge">
 <title>INT_PLUS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M345.91,-223.15C333.96,-205.63 313.31,-175.35 297.65,-152.39"/>
+<path fill="none" stroke="black" d="M344.94,-184.63C332.49,-168.71 311.63,-142.04 296.23,-122.35"/>
+<polygon fill="black" stroke="black" points="299.01,-120.23 290.1,-114.51 293.5,-124.54 299.01,-120.23"/>
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 <!-- INT_PLUS&#45;&gt;INT_MAXDOTS -->
 <!-- INT_MAXDOTS&#45;&gt;INT_BOT -->
-<g id="edge14" class="edge">
+<g id="edge17" class="edge">
 <title>INT_MAXDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M419.31,-220.51C389.82,-200.05 340.03,-165.51 307.74,-143.12"/>
+<path fill="none" stroke="black" d="M424.11,-186.46C395.53,-169.18 341.93,-136.76 307.82,-116.13"/>
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 <!-- INT_MAXDOTS&#45;&gt;INT_MAX -->
 <!-- INT_MAX&#45;&gt;INT_BOT -->
-<g id="edge15" class="edge">
+<g id="edge18" class="edge">
 <title>INT_MAX&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M515.62,-228.84C472.45,-209.45 366.34,-161.81 311.17,-137.04"/>
-</g>
-<!-- TUPLE&#45;&gt;BOT -->
-<g id="edge24" class="edge">
-<title>TUPLE&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M604.54,-217.92C529.56,-172.93 352.32,-66.57 294.9,-32.11"/>
+<path fill="none" stroke="black" d="M515.2,-190.66C472.47,-173.93 369.55,-133.64 313.87,-111.84"/>
+<polygon fill="black" stroke="black" points="315.4,-108.68 304.81,-108.29 312.84,-115.2 315.4,-108.68"/>
+</g>
+<!-- TUPLE1 -->
+<g id="node16" class="node">
+<title>TUPLE1</title>
+<polygon fill="none" stroke="none" points="652.6,-225.75 598.6,-225.75 598.6,-172.75 652.6,-172.75 652.6,-225.75"/>
+<polygon fill="pink" stroke="none" points="609.1,-199.25 609.1,-221.75 642.1,-221.75 642.1,-199.25 609.1,-199.25"/>
+<polygon fill="none" stroke="black" points="609.1,-199.25 609.1,-221.75 642.1,-221.75 642.1,-199.25 609.1,-199.25"/>
+<text text-anchor="start" x="612.1" y="-205.45" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="609.1,-176.75 609.1,-199.25 642.1,-199.25 642.1,-176.75 609.1,-176.75"/>
+<polygon fill="none" stroke="black" points="609.1,-176.75 609.1,-199.25 642.1,-199.25 642.1,-176.75 609.1,-176.75"/>
+<text text-anchor="start" x="613.97" y="-182.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE1 -->
+<g id="edge27" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE1</title>
+<path fill="none" stroke="black" d="M665.45,-284.12C659.18,-270.91 650.28,-252.2 642.49,-235.8"/>
+<polygon fill="black" stroke="black" points="645.67,-234.33 638.22,-226.8 639.35,-237.34 645.67,-234.33"/>
+</g>
+<!-- TUPLE2 -->
+<g id="node17" class="node">
+<title>TUPLE2</title>
+<polygon fill="none" stroke="none" points="749.6,-237 695.6,-237 695.6,-161.5 749.6,-161.5 749.6,-237"/>
+<polygon fill="pink" stroke="none" points="706.1,-210.5 706.1,-233 739.1,-233 739.1,-210.5 706.1,-210.5"/>
+<polygon fill="none" stroke="black" points="706.1,-210.5 706.1,-233 739.1,-233 739.1,-210.5 706.1,-210.5"/>
+<text text-anchor="start" x="709.1" y="-216.7" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="706.1,-188 706.1,-210.5 739.1,-210.5 739.1,-188 706.1,-188"/>
+<polygon fill="none" stroke="black" points="706.1,-188 706.1,-210.5 739.1,-210.5 739.1,-188 706.1,-188"/>
+<text text-anchor="start" x="710.97" y="-194.2" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="706.1,-165.5 706.1,-188 739.1,-188 739.1,-165.5 706.1,-165.5"/>
+<polygon fill="none" stroke="black" points="706.1,-165.5 706.1,-188 739.1,-188 739.1,-165.5 706.1,-165.5"/>
+<text text-anchor="start" x="710.97" y="-171.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE2 -->
+<g id="edge28" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE2</title>
+<path fill="none" stroke="black" d="M681.91,-284.12C686.91,-273.8 693.55,-260.12 700.01,-246.81"/>
+<polygon fill="black" stroke="black" points="703,-248.65 704.22,-238.13 696.7,-245.6 703,-248.65"/>
+</g>
+<!-- TUPLEN -->
+<g id="node18" class="node">
+<title>TUPLEN</title>
+<polygon fill="none" stroke="none" points="846.6,-248.25 792.6,-248.25 792.6,-150.25 846.6,-150.25 846.6,-248.25"/>
+<polygon fill="pink" stroke="none" points="803.1,-221.75 803.1,-244.25 836.1,-244.25 836.1,-221.75 803.1,-221.75"/>
+<polygon fill="none" stroke="black" points="803.1,-221.75 803.1,-244.25 836.1,-244.25 836.1,-221.75 803.1,-221.75"/>
+<text text-anchor="start" x="806.1" y="-227.95" font-family="Times New Roman,serif" font-size="14.00">tuple</text>
+<polygon fill="black" stroke="none" points="803.1,-199.25 803.1,-221.75 836.1,-221.75 836.1,-199.25 803.1,-199.25"/>
+<polygon fill="none" stroke="black" points="803.1,-199.25 803.1,-221.75 836.1,-221.75 836.1,-199.25 803.1,-199.25"/>
+<text text-anchor="start" x="807.97" y="-205.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="803.1,-176.75 803.1,-199.25 836.1,-199.25 836.1,-176.75 803.1,-176.75"/>
+<polygon fill="none" stroke="black" points="803.1,-176.75 803.1,-199.25 836.1,-199.25 836.1,-176.75 803.1,-176.75"/>
+<text text-anchor="start" x="813.97" y="-182.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">...</text>
+<polygon fill="black" stroke="none" points="803.1,-154.25 803.1,-176.75 836.1,-176.75 836.1,-154.25 803.1,-154.25"/>
+<polygon fill="none" stroke="black" points="803.1,-154.25 803.1,-176.75 836.1,-176.75 836.1,-154.25 803.1,-154.25"/>
+<text text-anchor="start" x="807.97" y="-160.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLEN -->
+<g id="edge29" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLEN</title>
+<path fill="none" stroke="black" d="M695.14,-286.35C718.34,-270.29 755.65,-244.48 783.38,-225.3"/>
+<polygon fill="black" stroke="black" points="785.27,-228.25 791.51,-219.68 781.29,-222.49 785.27,-228.25"/>
+</g>
+<!-- TUPLE_BOT -->
+<g id="node15" class="node">
+<title>TUPLE_BOT</title>
+<ellipse fill="pink" stroke="black" cx="673.6" cy="-96.25" rx="42.65" ry="18"/>
+<text text-anchor="start" x="650.35" y="-92.2" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="666.1" y="-92.2" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+</g>
+<!-- TUPLE_BOT&#45;&gt;BOT -->
+<g id="edge33" class="edge">
+<title>TUPLE_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M635.17,-88.17C557.01,-73.77 380.82,-41.32 308.5,-28"/>
+<polygon fill="black" stroke="black" points="309.38,-24.6 298.91,-26.23 308.11,-31.49 309.38,-24.6"/>
+</g>
+<!-- TUPLE1&#45;&gt;TUPLE_BOT -->
+<g id="edge30" class="edge">
+<title>TUPLE1&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M637.71,-172.76C644.73,-158 653.56,-139.41 660.7,-124.38"/>
+<polygon fill="black" stroke="black" points="663.78,-126.06 664.91,-115.53 657.45,-123.06 663.78,-126.06"/>
+</g>
+<!-- TUPLE2&#45;&gt;TUPLE_BOT -->
+<g id="edge31" class="edge">
+<title>TUPLE2&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M704.77,-161.5C698.84,-149.27 692.34,-135.89 686.82,-124.51"/>
+<polygon fill="black" stroke="black" points="690.05,-123.15 682.54,-115.69 683.76,-126.21 690.05,-123.15"/>
+</g>
+<!-- TUPLEN&#45;&gt;TUPLE_BOT -->
+<g id="edge32" class="edge">
+<title>TUPLEN&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M792.82,-179.72C767.85,-162.45 730.64,-136.71 704.44,-118.58"/>
+<polygon fill="black" stroke="black" points="706.45,-115.72 696.23,-112.91 702.46,-121.47 706.45,-115.72"/>
 </g>
 </g>
 </svg>
diff --git a/chapter10/README.md b/chapter10/README.md
index c27c4b74..957be607 100644
--- a/chapter10/README.md
+++ b/chapter10/README.md
@@ -118,6 +118,7 @@ Additionally, the following Node types will be enhanced:
 | Start     | Control | Start will produce the initial Memory projections, one per slice |
 | Return    | Control | Will merge all memory slices                                     |
 
+
 ## Enhanced Type Lattice
 
 The Type Lattice for Simple has a major revision in this chapter.
@@ -126,22 +127,38 @@ The Type Lattice for Simple has a major revision in this chapter.
 
 Within the Type Lattice, we now have the following type domains:
 
-* Control type - this represents control flow
-* Integer type - Integer values
-* Tuple type - when a Node results in more than one value
-* Struct type (new) - Represents user defined struct types, a struct type is allowed to have members of Integer type only in this chapter
-  * `$TOP` represents local Top for struct type; all we know about the type is that it is a struct but, we do not know if it is a specific struct, or all possible structs, etc.
-  * `$BOT` represents local Bottom for struct type; we definitely know the value can take all possible struct types.
-* Pointer type (new) - Represents a pointer to a struct type
-  * `null` is a pointer to non-existent memory object
-  * We use the prefix `*` to mean pointer-to. Thus `*S1` means pointer to `S1`, `*$TOP` means pointer to `$TOP`.
-  * `*void` is a synonym for `*$BOT` - i.e. it represents a Non-Null pointer to all possible struct types, akin to `void *` in C except not null.
+* <font style="background-color:yellow">Control type</font> - represents control flow
+* <font style="background-color:lightblue">Integer type</font> - Integer values, with a Top, Bottom and constants
+* <font style="background-color:green" color="white">Pointer type</font> (new) - Represents a pointer to a struct type
+  * We use the prefix `*` to mean pointer-to.  Thus `*S1` means pointer to
+    `S1`, `*$TOP` means pointer to `$TOP`.  
   * `?` suffix represents the union of a pointer to some type and `null`.
-  * `null` pointer evaluates to False and non-null pointers evaluate to True, as in C.
-* Memory (new) - Represents memory and memory slices
-  * `MEM#TOP` - Nothing known about a slice
-  * `#n` - refers to a memory slice
-  * `MEM#BOT` - all of memory
+  * The pointer lattice has only 2 entries: null or not-null.  In both cases a struct lattice element is 
+    included, and can be any member of the struct lattice.    
+  * `null` is a pointer to non-existent memory object, i.e. `*$TOP?`, and is a
+    nullable.  Notice that the null part of the type is low in the lattice,
+    while the struct part is the highest struct.
+  * `*void` is a synonym for `*$BOT` - i.e. it represents a non-null pointer to
+    all possible struct types, akin to `void *` in C except not null.  It is
+    the inverse or *dual* of `null`, and the null part is high in the pointer
+    lattice, while the struct part is the lowest struct.    
+  * `null` pointer evaluates to False and non-null pointers evaluate to True, as in C.  
+  
+* <font style="background-color:lightgreen">Struct type</font> (new) -
+  Represents user defined struct types, a struct type is allowed to have
+  members of Integer type only in this chapter, later chapters will expand
+  this.
+  * `⊤:struct` represents local Top for struct type; all we know about the type
+    is that it is a struct but, we do not know if it is a specific struct, or
+    all possible structs.  In the code, we use a struct with no fields named `$TOP`.  
+  * `⊥:struct` represents local Bottom for struct type; we definitely know the
+    value can take all possible struct types.  In the code, we uise a struct
+    with no fields named `$BOT`.
+* <font style="background-color:blue" color="white">Memory type</font> (new) - Represents memory and memory slices
+  * `⊤:mem` - Nothing known about a slice; in the code we use `MEM#TOP`.
+  * `#n` - refers to a memory slice, and `n` is the alias class.
+  * `⊥:mem` - all of memory; in the code we use `MEM#BOT`.
+* <font style="background-color:pink">Tuple type</font> - when a Node results in a collection of values
 
 We make use of following operations on the lattice.
 
@@ -150,20 +167,22 @@ We make use of following operations on the lattice.
   thought of as set union (ORing) of its input types (as sets).
   * Example, meet of `*S1` and `*S2` results in `*void` - there is no lattice
     element for exactly both `{*S1,*S2}`, so we drop down to the nearest
-    element containing both (and maybe more), which is `*void*`.
-  * Meet of `*S1` and struct `Null` results in `*S1?`
-  * Meet of `*void` and `Null` results in `*$BOT?`; bear in mind that `*void` is a synonym for `*$BOT`.
+    element containing both (and maybe more), which is `*void`.
+  * Meet of `*S1` and pointer `null` results in `*S1?`
+  * Meet of `*void` and `null` results in `*$BOT?`; bear in mind that `*void` is a synonym for `*$BOT`.
   * Meet of `1` and `2` results in `Int Bot`.
   * Meet of `#1` and `#2` results in `MEM#BOT`.
 * The `dual` operation is symmetric across the lattice centerline.  Types directly on the centerline are their own dual.
   * Find the corresponding node of the lattice after inverting the lattice.
     * Thus, dual of `Top` is `Bot`.
     * The dual of `*$TOP` is `*$BOT?`.
-  * For structs, the dual is obtained by computing the dual of each struct member. Thus, dual of `*S1` is not `*S1?`.
+  * For structs, the dual is obtained by computing the dual of each struct
+    member. Thus, dual of `*S1` is not `*S1?`, it is some `*S1?` with dualed
+    fields.
 
 * The `join` operation takes two types and computes the least upper bound type.
   Similar to `meet` this can thought of as set intersection (ANDing) of its input types.
-  Because our lattice structure is simple, we compute `join` with a well known identity:
+  Because our lattice structure is symmetric and complete, we compute `join` with a well known identity:
   `JOIN(x,y) === MEET(x.dual,y.dual).dual`
   * Example, join of `*S1` and `*S2` results in `*$TOP`.
   * Join of `1` and `2` results in `Int Top`.
@@ -195,8 +214,8 @@ lattice described in the previous section.
 ## Null Pointer Analysis
 
 The Simple language syntax allows a pointer variable to be specified as
-Null-able - and it prevents ever throwing a Null Pointer Exception.  The
-compiler tries to decide in a null check is needed, and if needed and missing
+null-able - and it prevents ever throwing a Null Pointer Exception.  The
+compiler decides if a null check is needed, and if needed and missing
 the compiler rejects the program (asking the user to insert a null check).
 
 When the Parser encounters conditions that test the truthiness of a pointer variable, it uses this knowledge to refine the type information in the branches that follow.
diff --git a/chapter10/docs/lattice.gv b/chapter10/docs/lattice.gv
index 5ac1bd5a..7723e2a2 100644
--- a/chapter10/docs/lattice.gv
+++ b/chapter10/docs/lattice.gv
@@ -5,12 +5,12 @@ digraph Lattice {
     node [shape=circle, style=filled];
     nodesep=0.6;
 
-    TOP [label=<<B>⊤ </B>>, fillcolor=black, fontcolor=white];
+    TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
     BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
 
     // ----------------------
     // Control
-    XCTRL [label=<<B>⊤ </B>:ctrl>, fillcolor=yellow, shape=oval];
+    XCTRL [label=<<B>⊤</B >:ctrl>, fillcolor=yellow, shape=oval];
     CTRL  [label=<<B>⊥</B>:ctrl>, fillcolor=yellow, shape=oval];
 
     TOP   -> XCTRL;
@@ -19,29 +19,23 @@ digraph Lattice {
 
     // ----------------------
     // Integers
-    INT_TOP [label=<<B>⊤ </B>:int>, fillcolor=lightblue, shape=oval];
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
     INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
 
-    INT_MIN     [label="-n" , fillcolor=lightblue];
     INT_MINDOTS [label="...", fillcolor=lightblue, shape=oval];
     INT_ZERO    [label="0"  , fillcolor=lightblue];
     INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
-    INT_MAX     [label="+n" , fillcolor=lightblue];
 
     TOP         -> INT_TOP;
-    INT_TOP     -> INT_MIN;
     INT_TOP     -> INT_MINDOTS;
     INT_TOP     -> INT_ZERO;
     INT_TOP     -> INT_MAXDOTS;
-    INT_TOP     -> INT_MAX;
-    INT_MIN     -> INT_BOT;
     INT_MINDOTS -> INT_BOT;
     INT_ZERO    -> INT_BOT;
     INT_MAXDOTS -> INT_BOT;
-    INT_MAX     -> INT_BOT;
     INT_BOT     -> BOT;
 
-    INT_MIN -> INT_MINDOTS -> INT_ZERO -> INT_MAXDOTS -> INT_MAX [style=invis];
+    INT_MINDOTS -> INT_ZERO -> INT_MAXDOTS [style=invis];
 
     // ----------------------
     // Pointers, just a boolean nil/not and a struct
@@ -64,28 +58,28 @@ digraph Lattice {
 
     // ----------------------
     // Structs
-    STRUCT_TOP    [label=<<B>⊤</B>:struct>, fillcolor=lightgreen, shape=oval];
+    STRUCT_TOP    [label=<<B>⊤</B >:struct>, fillcolor=lightgreen, shape=oval];
+    STRUCT_BOT    [label=<<B>⊥</B>:struct>, fillcolor=lightgreen, shape=oval];
 
     STRUCT_S1  [shape=none, fillcolor=none, label=<
       <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
-        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
       </TABLE>
     >];
     STRUCT_S2  [shape=none, fillcolor=none, label=<
       <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
-        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
-        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
       </TABLE>
     >];
     STRUCT_SN  [shape=none, fillcolor=none, label=<
       <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
-        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
-        <TR><TD BGCOLOR="lightgreen">...  </TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
-        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int:ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">...  </TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
       </TABLE>
     >];
 
-    STRUCT_BOT    [label=<<B>⊥</B>:struct>, fillcolor=lightgreen, shape=oval]
 
     TOP          -> STRUCT_TOP;
     STRUCT_TOP   -> STRUCT_S1;
@@ -100,11 +94,11 @@ digraph Lattice {
 
     // ----------------------
     // Memory
-    MEM_TOP       [label=<<B>⊤</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_TOP       [label=<<B>⊤</B >:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_BOT       [label=<<B>⊥</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
     MEM_ALIAS1    [label="#1"     , fillcolor=blue, fontcolor=white];
     MEM_ALIASDOTS [label="..."    , fillcolor=blue, fontcolor=white, shape=oval];
     MEM_ALIASN    [label="#n"     , fillcolor=blue, fontcolor=white];
-    MEM_BOT       [label=<<B>⊥</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
 
     TOP          -> MEM_TOP;
     MEM_TOP      -> MEM_ALIAS1;
@@ -120,7 +114,8 @@ digraph Lattice {
     // ----------------------
     // Tuples
 
-    TUPLE_TOP [label=<<B>⊤</B>:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
 
     TUPLE1 [shape=none, fillcolor=none, label=<
       <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
@@ -144,7 +139,6 @@ digraph Lattice {
       </TABLE>
     >];
 
-    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
 
     TOP -> TUPLE_TOP;
     TUPLE_TOP -> TUPLE1;
@@ -159,11 +153,9 @@ digraph Lattice {
     // Additional customization
     {rank=same; TOP;}
     {rank=same; INT_TOP; XCTRL; STRUCT_TOP; MEM_TOP; TUPLE_TOP}
-    {rank=same; INT_MIN; INT_MINDOTS;
-                INT_ZERO; INT_MAXDOTS;
-                INT_MAX; STRUCT_S1; STRUCT_S2; STRUCT_SN;
-                MEM_ALIAS1; 
-                MEM_ALIASDOTS; MEM_ALIASN;}
+    {rank=same; INT_MINDOTS; INT_ZERO; INT_MAXDOTS;
+                STRUCT_S1; STRUCT_S2; STRUCT_SN;
+                MEM_ALIAS1; MEM_ALIASDOTS; MEM_ALIASN;}
     {rank=same; INT_BOT; CTRL; STRUCT_BOT; MEM_BOT; TUPLE_BOT}
     {rank=same; BOT;}
 }
diff --git a/chapter10/docs/lattice.svg b/chapter10/docs/lattice.svg
index 02f3ce69..9eb36bbe 100644
--- a/chapter10/docs/lattice.svg
+++ b/chapter10/docs/lattice.svg
@@ -4,551 +4,513 @@
 <!-- Generated by graphviz version 12.2.0 (20241103.1931)
  -->
 <!-- Title: Lattice Pages: 1 -->
-<svg width="1465pt" height="447pt"
- viewBox="0.00 0.00 1465.07 446.70" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
-<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 442.7)">
+<svg width="1308pt" height="440pt"
+ viewBox="0.00 0.00 1307.51 440.50" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 436.5)">
 <title>Lattice</title>
-<polygon fill="white" stroke="none" points="-4,4 -4,-442.7 1461.07,-442.7 1461.07,4 -4,4"/>
+<polygon fill="white" stroke="none" points="-4,4 -4,-436.5 1303.51,-436.5 1303.51,4 -4,4"/>
 <!-- TOP -->
 <g id="node1" class="node">
 <title>TOP</title>
-<ellipse fill="black" stroke="black" cx="581.07" cy="-414.47" rx="24.23" ry="24.23"/>
-<text text-anchor="start" x="571.32" y="-410.42" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤ </text>
+<ellipse fill="black" stroke="black" cx="478.51" cy="-411.37" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="470.63" y="-406.95" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
 </g>
 <!-- XCTRL -->
 <g id="node3" class="node">
 <title>XCTRL</title>
-<ellipse fill="yellow" stroke="black" cx="39.07" cy="-327.75" rx="39.07" ry="18"/>
-<text text-anchor="start" x="18.44" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤ </text>
-<text text-anchor="start" x="37.94" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+<ellipse fill="yellow" stroke="black" cx="36.51" cy="-327.75" rx="36.51" ry="18"/>
+<text text-anchor="start" x="17.76" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="33.51" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
 </g>
 <!-- TOP&#45;&gt;XCTRL -->
 <g id="edge1" class="edge">
 <title>TOP&#45;&gt;XCTRL</title>
-<path fill="none" stroke="black" d="M557.08,-409.72C474.17,-396.76 198.71,-353.7 86.88,-336.22"/>
-<polygon fill="black" stroke="black" points="87.55,-332.78 77.13,-334.7 86.47,-339.7 87.55,-332.78"/>
+<path fill="none" stroke="black" d="M457.49,-406.49C389.63,-393.96 175.41,-354.4 81.44,-337.04"/>
+<polygon fill="black" stroke="black" points="82.28,-333.64 71.81,-335.27 81.01,-340.53 82.28,-333.64"/>
 </g>
 <!-- INT_TOP -->
 <g id="node5" class="node">
 <title>INT_TOP</title>
-<ellipse fill="lightblue" stroke="black" cx="273.07" cy="-327.75" rx="36.51" ry="18"/>
-<text text-anchor="start" x="254.32" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤ </text>
-<text text-anchor="start" x="273.82" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+<ellipse fill="lightblue" stroke="black" cx="220.51" cy="-327.75" rx="33.95" ry="18"/>
+<text text-anchor="start" x="203.63" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="219.38" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
 </g>
 <!-- TOP&#45;&gt;INT_TOP -->
 <g id="edge4" class="edge">
 <title>TOP&#45;&gt;INT_TOP</title>
-<path fill="none" stroke="black" d="M557.67,-407.04C505.91,-392.8 381.13,-358.47 315.32,-340.37"/>
-<polygon fill="black" stroke="black" points="316.55,-337.08 305.98,-337.8 314.69,-343.83 316.55,-337.08"/>
+<path fill="none" stroke="black" d="M458.26,-403.97C415.59,-390.47 315.75,-358.88 259.97,-341.23"/>
+<polygon fill="black" stroke="black" points="261.14,-337.93 250.55,-338.25 259.03,-344.61 261.14,-337.93"/>
 </g>
 <!-- PTR -->
-<g id="node12" class="node">
+<g id="node10" class="node">
 <title>PTR</title>
-<polygon fill="none" stroke="none" points="551.07,-354.25 497.07,-354.25 497.07,-301.25 551.07,-301.25 551.07,-354.25"/>
-<polygon fill="green" stroke="none" points="506.07,-327.75 506.07,-350.25 542.07,-350.25 542.07,-327.75 506.07,-327.75"/>
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+<polygon fill="green" stroke="none" points="342.51,-327.75 342.51,-350.25 378.51,-350.25 378.51,-327.75 342.51,-327.75"/>
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+<text text-anchor="start" x="349.63" y="-333.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">*ptr</text>
+<polygon fill="lightgreen" stroke="none" points="342.51,-305.25 342.51,-327.75 378.51,-327.75 378.51,-305.25 342.51,-305.25"/>
+<polygon fill="none" stroke="black" points="342.51,-305.25 342.51,-327.75 378.51,-327.75 378.51,-305.25 342.51,-305.25"/>
+<text text-anchor="start" x="345.51" y="-311.45" font-family="Times New Roman,serif" font-size="14.00">struct</text>
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 <!-- TOP&#45;&gt;PTR -->
-<g id="edge20" class="edge">
+<g id="edge14" class="edge">
 <title>TOP&#45;&gt;PTR</title>
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-<polygon fill="black" stroke="black" points="550.44,-361.68 541.96,-355.34 544.63,-365.59 550.44,-361.68"/>
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+<polygon fill="black" stroke="black" points="398.75,-350.95 388.54,-348.14 394.77,-356.7 398.75,-350.95"/>
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 <!-- STRUCT_TOP -->
-<g id="node14" class="node">
+<g id="node12" class="node">
 <title>STRUCT_TOP</title>
-<ellipse fill="lightgreen" stroke="black" cx="700.07" cy="-327.75" rx="44.7" ry="18"/>
-<text text-anchor="start" x="675.32" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
-<text text-anchor="start" x="691.07" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:struct</text>
+<ellipse fill="lightgreen" stroke="black" cx="514.51" cy="-327.75" rx="44.7" ry="18"/>
+<text text-anchor="start" x="489.76" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="505.51" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:struct</text>
 </g>
 <!-- TOP&#45;&gt;STRUCT_TOP -->
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+<g id="edge17" class="edge">
 <title>TOP&#45;&gt;STRUCT_TOP</title>
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-<polygon fill="black" stroke="black" points="671.43,-353.43 677.55,-344.78 667.37,-347.73 671.43,-353.43"/>
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+<polygon fill="black" stroke="black" points="505.5,-357.86 506.33,-347.29 499.09,-355.03 505.5,-357.86"/>
 </g>
 <!-- MEM_TOP -->
-<g id="node19" class="node">
+<g id="node17" class="node">
 <title>MEM_TOP</title>
-<ellipse fill="blue" stroke="black" cx="1011.07" cy="-327.75" rx="43.67" ry="18"/>
-<text text-anchor="start" x="987.07" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
-<text text-anchor="start" x="1002.82" y="-323.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">:mem</text>
+<ellipse fill="blue" stroke="black" cx="853.51" cy="-327.75" rx="43.67" ry="18"/>
+<text text-anchor="start" x="829.51" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
+<text text-anchor="start" x="845.26" y="-323.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">:mem</text>
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 <!-- TOP&#45;&gt;MEM_TOP -->
-<g id="edge33" class="edge">
+<g id="edge27" class="edge">
 <title>TOP&#45;&gt;MEM_TOP</title>
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-<polygon fill="black" stroke="black" points="961.48,-342.09 970.62,-336.72 960.13,-335.22 961.48,-342.09"/>
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+<polygon fill="black" stroke="black" points="804.86,-342.92 813.89,-337.37 803.37,-336.08 804.86,-342.92"/>
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 <!-- TUPLE_TOP -->
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+<g id="node22" class="node">
 <title>TUPLE_TOP</title>
-<ellipse fill="pink" stroke="black" cx="1284.07" cy="-327.75" rx="42.65" ry="18"/>
-<text text-anchor="start" x="1260.82" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
-<text text-anchor="start" x="1276.57" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+<ellipse fill="pink" stroke="black" cx="1126.51" cy="-327.75" rx="42.65" ry="18"/>
+<text text-anchor="start" x="1103.26" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="1119.01" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
 </g>
 <!-- TOP&#45;&gt;TUPLE_TOP -->
-<g id="edge43" class="edge">
+<g id="edge37" class="edge">
 <title>TOP&#45;&gt;TUPLE_TOP</title>
-<path fill="none" stroke="black" d="M605.27,-410.56C705.78,-398.44 1091.6,-351.95 1232.32,-334.99"/>
-<polygon fill="black" stroke="black" points="1232.58,-338.48 1242.09,-333.81 1231.74,-331.53 1232.58,-338.48"/>
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+<polygon fill="black" stroke="black" points="1074.97,-338.77 1084.46,-334.05 1074.1,-331.82 1074.97,-338.77"/>
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 <!-- BOT -->
 <g id="node2" class="node">
 <title>BOT</title>
-<ellipse fill="black" stroke="black" cx="612.07" cy="-21.12" rx="21.12" ry="21.12"/>
-<text text-anchor="start" x="604.19" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
+<ellipse fill="black" stroke="black" cx="448.51" cy="-21.12" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="440.63" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
 </g>
 <!-- CTRL -->
 <g id="node4" class="node">
 <title>CTRL</title>
-<ellipse fill="yellow" stroke="black" cx="42.07" cy="-104.75" rx="36.51" ry="18"/>
-<text text-anchor="start" x="23.32" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
-<text text-anchor="start" x="39.07" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+<ellipse fill="yellow" stroke="black" cx="36.51" cy="-104.75" rx="36.51" ry="18"/>
+<text text-anchor="start" x="17.76" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="33.51" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
 </g>
 <!-- XCTRL&#45;&gt;CTRL -->
 <g id="edge2" class="edge">
 <title>XCTRL&#45;&gt;CTRL</title>
-<path fill="none" stroke="black" d="M39.31,-309.5C39.83,-271.02 41.04,-181.25 41.67,-134.4"/>
-<polygon fill="black" stroke="black" points="45.17,-134.5 41.8,-124.45 38.17,-134.4 45.17,-134.5"/>
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+<polygon fill="black" stroke="black" points="40.01,-134.45 36.51,-124.45 33.01,-134.45 40.01,-134.45"/>
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 <!-- CTRL&#45;&gt;BOT -->
 <g id="edge3" class="edge">
 <title>CTRL&#45;&gt;BOT</title>
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-<polygon fill="black" stroke="black" points="580.17,-30.23 589.57,-25.35 579.18,-23.3 580.17,-30.23"/>
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-<!-- INT_MIN -->
-<g id="node7" class="node">
-<title>INT_MIN</title>
-<ellipse fill="lightblue" stroke="black" cx="52.07" cy="-216.25" rx="18.6" ry="18.6"/>
-<text text-anchor="middle" x="52.07" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">&#45;n</text>
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-<!-- INT_TOP&#45;&gt;INT_MIN -->
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-<title>INT_TOP&#45;&gt;INT_MIN</title>
-<path fill="none" stroke="black" d="M248.15,-314.4C206.3,-293.66 122.25,-252.02 79.06,-230.62"/>
-<polygon fill="black" stroke="black" points="80.63,-227.49 70.12,-226.19 77.52,-233.77 80.63,-227.49"/>
+<path fill="none" stroke="black" d="M69.88,-97.14C147.7,-81.72 340.42,-43.54 416.69,-28.43"/>
+<polygon fill="black" stroke="black" points="417.29,-31.88 426.41,-26.5 415.93,-25.01 417.29,-31.88"/>
 </g>
 <!-- INT_MINDOTS -->
-<g id="node8" class="node">
+<g id="node7" class="node">
 <title>INT_MINDOTS</title>
-<ellipse fill="lightblue" stroke="black" cx="141.07" cy="-216.25" rx="27" ry="18"/>
-<text text-anchor="middle" x="141.07" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="68.51" cy="-216.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="68.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MINDOTS -->
-<g id="edge6" class="edge">
+<g id="edge5" class="edge">
 <title>INT_TOP&#45;&gt;INT_MINDOTS</title>
-<path fill="none" stroke="black" d="M254.99,-311.75C231.87,-292.58 191.74,-259.28 165.8,-237.77"/>
-<polygon fill="black" stroke="black" points="168.37,-235.35 158.44,-231.66 163.9,-240.73 168.37,-235.35"/>
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+<polygon fill="black" stroke="black" points="97.5,-233.82 87.34,-230.81 93.41,-239.5 97.5,-233.82"/>
 </g>
 <!-- INT_ZERO -->
-<g id="node9" class="node">
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 <title>INT_ZERO</title>
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-<text text-anchor="middle" x="229.07" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">0</text>
+<ellipse fill="lightblue" stroke="black" cx="156.51" cy="-216.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="156.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">0</text>
 </g>
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+<g id="edge6" class="edge">
 <title>INT_TOP&#45;&gt;INT_ZERO</title>
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-<polygon fill="black" stroke="black" points="243.15,-242.9 236.17,-234.93 236.65,-245.51 243.15,-242.9"/>
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+<polygon fill="black" stroke="black" points="174.12,-240.45 166.05,-233.58 168.08,-243.98 174.12,-240.45"/>
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 <!-- INT_MAXDOTS -->
-<g id="node10" class="node">
+<g id="node9" class="node">
 <title>INT_MAXDOTS</title>
-<ellipse fill="lightblue" stroke="black" cx="317.07" cy="-216.25" rx="27" ry="18"/>
-<text text-anchor="middle" x="317.07" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
+<ellipse fill="lightblue" stroke="black" cx="244.51" cy="-216.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="244.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
 </g>
 <!-- INT_TOP&#45;&gt;INT_MAXDOTS -->
-<g id="edge8" class="edge">
+<g id="edge7" class="edge">
 <title>INT_TOP&#45;&gt;INT_MAXDOTS</title>
-<path fill="none" stroke="black" d="M279.94,-309.64C286.96,-292.18 297.95,-264.82 306.16,-244.4"/>
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-<title>INT_MAX</title>
-<ellipse fill="lightblue" stroke="black" cx="408.07" cy="-216.25" rx="21.15" ry="21.15"/>
-<text text-anchor="middle" x="408.07" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">+n</text>
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-<!-- INT_TOP&#45;&gt;INT_MAX -->
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-<title>INT_TOP&#45;&gt;INT_MAX</title>
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-<polygon fill="black" stroke="black" points="385.17,-240.33 390.73,-231.31 380.76,-234.89 385.17,-240.33"/>
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+<polygon fill="black" stroke="black" points="241.74,-246.23 240.46,-235.72 234.9,-244.73 241.74,-246.23"/>
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 <!-- INT_BOT -->
 <g id="node6" class="node">
 <title>INT_BOT</title>
-<ellipse fill="lightblue" stroke="black" cx="273.07" cy="-104.75" rx="33.95" ry="18"/>
-<text text-anchor="start" x="256.19" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
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+<ellipse fill="lightblue" stroke="black" cx="220.51" cy="-104.75" rx="33.95" ry="18"/>
+<text text-anchor="start" x="203.63" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
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 </g>
 <!-- INT_BOT&#45;&gt;BOT -->
-<g id="edge15" class="edge">
+<g id="edge11" class="edge">
 <title>INT_BOT&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M303.75,-96.36C367.89,-80.92 515.56,-45.36 580.48,-29.73"/>
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-<!-- INT_MIN&#45;&gt;INT_BOT -->
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-<title>INT_MIN&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M68.68,-207.02C104.61,-189.22 190.19,-146.81 238.44,-122.9"/>
-<polygon fill="black" stroke="black" points="239.95,-126.06 247.36,-118.49 236.84,-119.79 239.95,-126.06"/>
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-<!-- INT_MIN&#45;&gt;INT_MINDOTS -->
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-<g id="edge11" class="edge">
+<g id="edge8" class="edge">
 <title>INT_MINDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M157.52,-201.6C179.9,-183.04 220.19,-149.61 246.78,-127.55"/>
-<polygon fill="black" stroke="black" points="248.94,-130.31 254.4,-121.23 244.47,-124.92 248.94,-130.31"/>
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-<g id="edge12" class="edge">
+<g id="edge9" class="edge">
 <title>INT_ZERO&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M235.56,-199.09C242.53,-181.74 253.73,-153.88 262.08,-133.1"/>
-<polygon fill="black" stroke="black" points="265.21,-134.68 265.7,-124.1 258.72,-132.07 265.21,-134.68"/>
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-<g id="edge13" class="edge">
+<g id="edge10" class="edge">
 <title>INT_MAXDOTS&#45;&gt;INT_BOT</title>
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-<!-- INT_MAXDOTS&#45;&gt;INT_MAX -->
-<!-- INT_MAX&#45;&gt;INT_BOT -->
-<g id="edge14" class="edge">
-<title>INT_MAX&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M391.78,-202.04C368.98,-183.54 327.24,-149.69 299.83,-127.45"/>
-<polygon fill="black" stroke="black" points="302.28,-124.93 292.3,-121.35 297.87,-130.37 302.28,-124.93"/>
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 <!-- PTR0 -->
-<g id="node13" class="node">
+<g id="node11" class="node">
 <title>PTR0</title>
-<polygon fill="none" stroke="none" points="551.07,-131.25 497.07,-131.25 497.07,-78.25 551.07,-78.25 551.07,-131.25"/>
-<polygon fill="green" stroke="none" points="506.07,-104.75 506.07,-127.25 542.07,-127.25 542.07,-104.75 506.07,-104.75"/>
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+<polygon fill="none" stroke="black" points="342.51,-104.75 342.51,-127.25 378.51,-127.25 378.51,-104.75 342.51,-104.75"/>
+<text text-anchor="start" x="346.63" y="-110.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">*ptr?</text>
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+<polygon fill="none" stroke="black" points="342.51,-82.25 342.51,-104.75 378.51,-104.75 378.51,-82.25 342.51,-82.25"/>
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-<g id="edge21" class="edge">
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-<polygon fill="black" stroke="black" points="1315.42,-124.89 1305.32,-121.69 1311.22,-130.49 1315.42,-124.89"/>
-</g>
-<!-- TUPLE_BOT&#45;&gt;BOT -->
-<g id="edge50" class="edge">
-<title>TUPLE_BOT&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M1243.29,-98.8C1120.5,-83.88 755.84,-39.59 644.63,-26.08"/>
-<polygon fill="black" stroke="black" points="645.07,-22.61 634.72,-24.88 644.23,-29.56 645.07,-22.61"/>
+<path fill="none" stroke="black" d="M1245.73,-195.16C1220.22,-176.03 1181.9,-147.29 1155.64,-127.59"/>
+<polygon fill="black" stroke="black" points="1157.86,-124.89 1147.76,-121.69 1153.66,-130.49 1157.86,-124.89"/>
 </g>
 </g>
 </svg>
diff --git a/chapter12/README.md b/chapter12/README.md
index 0a32298a..53866440 100644
--- a/chapter12/README.md
+++ b/chapter12/README.md
@@ -47,7 +47,8 @@ And their own section in the Type lattice:
 
 Within the Type Lattice, we now add the following domain:
 
-* Float type - Float values.  The same shape as the Integer values, but floats
+* <font style="background-color:aqua">Float type</font> - Float values.  The same shape as the Integer values, but floats
   with a TOP, BOT and constants
 
+![Graph1](./docs/lattice.svg)
 
diff --git a/chapter12/docs/lattice.gv b/chapter12/docs/lattice.gv
new file mode 100644
index 00000000..eec7cc1d
--- /dev/null
+++ b/chapter12/docs/lattice.gv
@@ -0,0 +1,182 @@
+digraph Lattice {
+    compound = true;
+    // Define nodes
+    splines=false;
+    node [shape=circle, style=filled];
+    nodesep=0.6;
+
+    TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
+    BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
+
+    // ----------------------
+    // Control
+    XCTRL [label=<<B>⊤</B >:ctrl>, fillcolor=yellow, shape=oval];
+    CTRL  [label=<<B>⊥</B>:ctrl>, fillcolor=yellow, shape=oval];
+
+    TOP   -> XCTRL;
+    XCTRL -> CTRL;
+    CTRL  -> BOT;
+
+    // ----------------------
+    // Integers
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
+    INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
+
+    INT_MINDOTS [label="...", fillcolor=lightblue, shape=oval];
+    INT_ZERO    [label="0"  , fillcolor=lightblue];
+    INT_MAXDOTS [label="...", fillcolor=lightblue, shape=oval];
+
+    TOP         -> INT_TOP;
+    INT_TOP     -> INT_MINDOTS;
+    INT_TOP     -> INT_ZERO;
+    INT_TOP     -> INT_MAXDOTS;
+    INT_MINDOTS -> INT_BOT;
+    INT_ZERO    -> INT_BOT;
+    INT_MAXDOTS -> INT_BOT;
+    INT_BOT     -> BOT;
+
+    INT_MINDOTS -> INT_ZERO -> INT_MAXDOTS [style=invis];
+
+    // ----------------------
+    // Integers
+    FLT_TOP [label=<<B>⊤</B >:flt>, fillcolor=aqua, shape=oval];
+    FLT_BOT [label=<<B>⊥</B>:flt>, fillcolor=aqua, shape=oval];
+
+    FLT_MINDOTS [label="...", fillcolor=aqua, shape=oval];
+    FLT_ZERO    [label="0"  , fillcolor=aqua];
+    FLT_MAXDOTS [label="...", fillcolor=aqua, shape=oval];
+
+    TOP         -> FLT_TOP;
+    FLT_TOP     -> FLT_MINDOTS;
+    FLT_TOP     -> FLT_ZERO;
+    FLT_TOP     -> FLT_MAXDOTS;
+    FLT_MINDOTS -> FLT_BOT;
+    FLT_ZERO    -> FLT_BOT;
+    FLT_MAXDOTS -> FLT_BOT;
+    FLT_BOT     -> BOT;
+
+    FLT_MINDOTS -> FLT_ZERO -> FLT_MAXDOTS [style=invis];
+    
+    // ----------------------
+    // Pointers, just a boolean nil/not and a struct
+    PTR  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="green"><FONT color="white">*ptr</FONT></TD></TR>
+        <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
+      </TABLE>
+    >];
+    PTR0  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="green"><FONT color="white">*ptr?</FONT></TD></TR>
+        <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
+      </TABLE>
+    >];
+    
+    TOP  -> PTR;
+    PTR  -> PTR0;
+    PTR0 -> BOT;
+
+    // ----------------------
+    // Structs
+    STRUCT_TOP    [label=<<B>⊤</B >:struct>, fillcolor=lightgreen, shape=oval];
+    STRUCT_BOT    [label=<<B>⊥</B>:struct>, fillcolor=lightgreen, shape=oval];
+
+    STRUCT_S1  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+    STRUCT_S2  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+    STRUCT_SN  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">...  </TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+
+
+    TOP          -> STRUCT_TOP;
+    STRUCT_TOP   -> STRUCT_S1;
+    STRUCT_TOP   -> STRUCT_S2;
+    STRUCT_TOP   -> STRUCT_SN;
+    STRUCT_S1    -> STRUCT_BOT;
+    STRUCT_S2    -> STRUCT_BOT;
+    STRUCT_SN    -> STRUCT_BOT;
+    STRUCT_BOT   -> BOT;
+
+    STRUCT_S1 -> STRUCT_S2 -> STRUCT_SN [style=invis];
+
+    // ----------------------
+    // Memory
+    MEM_TOP       [label=<<B>⊤</B >:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_BOT       [label=<<B>⊥</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_ALIAS1    [label="#1"     , fillcolor=blue, fontcolor=white];
+    MEM_ALIASDOTS [label="..."    , fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_ALIASN    [label="#n"     , fillcolor=blue, fontcolor=white];
+
+    TOP          -> MEM_TOP;
+    MEM_TOP      -> MEM_ALIAS1;
+    MEM_TOP      -> MEM_ALIASDOTS;
+    MEM_TOP      -> MEM_ALIASN;
+    MEM_ALIAS1   -> MEM_BOT;
+    MEM_ALIASDOTS -> MEM_BOT;
+    MEM_ALIASN    -> MEM_BOT;
+    MEM_BOT       -> BOT;
+
+    MEM_ALIAS1 -> MEM_ALIASDOTS -> MEM_ALIASN [style=invis];
+
+    // ----------------------
+    // Tuples
+
+    TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
+
+    TUPLE1 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLE2 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLEN [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">...</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+
+
+    TOP -> TUPLE_TOP;
+    TUPLE_TOP -> TUPLE1;
+    TUPLE_TOP -> TUPLE2;
+    TUPLE_TOP -> TUPLEN;
+    TUPLE1 -> TUPLE_BOT;
+    TUPLE2 -> TUPLE_BOT;
+    TUPLEN -> TUPLE_BOT;
+    TUPLE_BOT -> BOT;
+
+    // ----------------------
+    // Additional customization
+    {rank=same; TOP;}
+    {rank=same; INT_TOP; FLT_TOP; XCTRL; STRUCT_TOP; MEM_TOP; TUPLE_TOP}
+    {rank=same; INT_MINDOTS; INT_ZERO; INT_MAXDOTS; 
+                FLT_MINDOTS; FLT_ZERO; FLT_MAXDOTS;
+                STRUCT_S1; STRUCT_S2; STRUCT_SN;
+                MEM_ALIAS1;  MEM_ALIASDOTS; MEM_ALIASN;}
+    {rank=same; INT_BOT; FLT_BOT; CTRL; STRUCT_BOT; MEM_BOT; TUPLE_BOT}
+    {rank=same; BOT;}
+}
diff --git a/chapter12/docs/lattice.svg b/chapter12/docs/lattice.svg
new file mode 100644
index 00000000..1bb4f692
--- /dev/null
+++ b/chapter12/docs/lattice.svg
@@ -0,0 +1,598 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<!-- Generated by graphviz version 12.2.0 (20241103.1931)
+ -->
+<!-- Title: Lattice Pages: 1 -->
+<svg width="1602pt" height="440pt"
+ viewBox="0.00 0.00 1601.51 440.50" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 436.5)">
+<title>Lattice</title>
+<polygon fill="white" stroke="none" points="-4,4 -4,-436.5 1597.51,-436.5 1597.51,4 -4,4"/>
+<!-- TOP -->
+<g id="node1" class="node">
+<title>TOP</title>
+<ellipse fill="black" stroke="black" cx="630.51" cy="-411.37" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="622.63" y="-406.95" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
+</g>
+<!-- XCTRL -->
+<g id="node3" class="node">
+<title>XCTRL</title>
+<ellipse fill="yellow" stroke="black" cx="36.51" cy="-327.75" rx="36.51" ry="18"/>
+<text text-anchor="start" x="17.76" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="33.51" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+</g>
+<!-- TOP&#45;&gt;XCTRL -->
+<g id="edge1" class="edge">
+<title>TOP&#45;&gt;XCTRL</title>
+<path fill="none" stroke="black" d="M609.37,-407.47C523.96,-395.73 203.25,-351.66 82.7,-335.1"/>
+<polygon fill="black" stroke="black" points="83.22,-331.63 72.84,-333.74 82.27,-338.57 83.22,-331.63"/>
+</g>
+<!-- INT_TOP -->
+<g id="node5" class="node">
+<title>INT_TOP</title>
+<ellipse fill="lightblue" stroke="black" cx="226.51" cy="-327.75" rx="33.95" ry="18"/>
+<text text-anchor="start" x="209.63" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="225.38" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- TOP&#45;&gt;INT_TOP -->
+<g id="edge4" class="edge">
+<title>TOP&#45;&gt;INT_TOP</title>
+<path fill="none" stroke="black" d="M609.64,-406.16C546.23,-393.34 354.92,-354.69 269.04,-337.34"/>
+<polygon fill="black" stroke="black" points="269.87,-333.94 259.37,-335.39 268.48,-340.8 269.87,-333.94"/>
+</g>
+<!-- FLT_TOP -->
+<g id="node10" class="node">
+<title>FLT_TOP</title>
+<ellipse fill="aqua" stroke="black" cx="489.51" cy="-327.75" rx="32.41" ry="18"/>
+<text text-anchor="start" x="473.76" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="489.51" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:flt</text>
+</g>
+<!-- TOP&#45;&gt;FLT_TOP -->
+<g id="edge14" class="edge">
+<title>TOP&#45;&gt;FLT_TOP</title>
+<path fill="none" stroke="black" d="M612.36,-399.87C589.31,-386.52 549.15,-363.27 521.04,-347"/>
+<polygon fill="black" stroke="black" points="523,-344.09 512.59,-342.11 519.49,-350.15 523,-344.09"/>
+</g>
+<!-- PTR -->
+<g id="node15" class="node">
+<title>PTR</title>
+<polygon fill="none" stroke="none" points="657.51,-354.25 603.51,-354.25 603.51,-301.25 657.51,-301.25 657.51,-354.25"/>
+<polygon fill="green" stroke="none" points="612.51,-327.75 612.51,-350.25 648.51,-350.25 648.51,-327.75 612.51,-327.75"/>
+<polygon fill="none" stroke="black" points="612.51,-327.75 612.51,-350.25 648.51,-350.25 648.51,-327.75 612.51,-327.75"/>
+<text text-anchor="start" x="619.63" y="-333.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">*ptr</text>
+<polygon fill="lightgreen" stroke="none" points="612.51,-305.25 612.51,-327.75 648.51,-327.75 648.51,-305.25 612.51,-305.25"/>
+<polygon fill="none" stroke="black" points="612.51,-305.25 612.51,-327.75 648.51,-327.75 648.51,-305.25 612.51,-305.25"/>
+<text text-anchor="start" x="615.51" y="-311.45" font-family="Times New Roman,serif" font-size="14.00">struct</text>
+</g>
+<!-- TOP&#45;&gt;PTR -->
+<g id="edge24" class="edge">
+<title>TOP&#45;&gt;PTR</title>
+<path fill="none" stroke="black" d="M630.51,-389.78C630.51,-382.39 630.51,-373.83 630.51,-365.49"/>
+<polygon fill="black" stroke="black" points="634.01,-365.52 630.51,-355.52 627.01,-365.52 634.01,-365.52"/>
+</g>
+<!-- STRUCT_TOP -->
+<g id="node17" class="node">
+<title>STRUCT_TOP</title>
+<ellipse fill="lightgreen" stroke="black" cx="806.51" cy="-327.75" rx="44.7" ry="18"/>
+<text text-anchor="start" x="781.76" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="797.51" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:struct</text>
+</g>
+<!-- TOP&#45;&gt;STRUCT_TOP -->
+<g id="edge27" class="edge">
+<title>TOP&#45;&gt;STRUCT_TOP</title>
+<path fill="none" stroke="black" d="M649.68,-401.48C677.9,-388.39 731.22,-363.66 767.79,-346.71"/>
+<polygon fill="black" stroke="black" points="769.12,-349.95 776.71,-342.57 766.17,-343.6 769.12,-349.95"/>
+</g>
+<!-- MEM_TOP -->
+<g id="node22" class="node">
+<title>MEM_TOP</title>
+<ellipse fill="blue" stroke="black" cx="1147.51" cy="-327.75" rx="43.67" ry="18"/>
+<text text-anchor="start" x="1123.51" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
+<text text-anchor="start" x="1139.26" y="-323.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">:mem</text>
+</g>
+<!-- TOP&#45;&gt;MEM_TOP -->
+<g id="edge37" class="edge">
+<title>TOP&#45;&gt;MEM_TOP</title>
+<path fill="none" stroke="black" d="M651.42,-407.07C726.59,-395.2 984.56,-354.47 1095.79,-336.91"/>
+<polygon fill="black" stroke="black" points="1096.21,-340.39 1105.54,-335.37 1095.12,-333.48 1096.21,-340.39"/>
+</g>
+<!-- TUPLE_TOP -->
+<g id="node27" class="node">
+<title>TUPLE_TOP</title>
+<ellipse fill="pink" stroke="black" cx="1420.51" cy="-327.75" rx="42.65" ry="18"/>
+<text text-anchor="start" x="1397.26" y="-323.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="1413.01" y="-323.7" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+</g>
+<!-- TOP&#45;&gt;TUPLE_TOP -->
+<g id="edge47" class="edge">
+<title>TOP&#45;&gt;TUPLE_TOP</title>
+<path fill="none" stroke="black" d="M651.64,-408.19C755.41,-397.47 1212.34,-350.26 1368.21,-334.15"/>
+<polygon fill="black" stroke="black" points="1368.24,-337.67 1377.83,-333.16 1367.52,-330.7 1368.24,-337.67"/>
+</g>
+<!-- BOT -->
+<g id="node2" class="node">
+<title>BOT</title>
+<ellipse fill="black" stroke="black" cx="630.51" cy="-21.12" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="622.63" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
+</g>
+<!-- CTRL -->
+<g id="node4" class="node">
+<title>CTRL</title>
+<ellipse fill="yellow" stroke="black" cx="36.51" cy="-104.75" rx="36.51" ry="18"/>
+<text text-anchor="start" x="17.76" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="33.51" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+</g>
+<!-- XCTRL&#45;&gt;CTRL -->
+<g id="edge2" class="edge">
+<title>XCTRL&#45;&gt;CTRL</title>
+<path fill="none" stroke="black" d="M36.51,-309.5C36.51,-271.02 36.51,-181.25 36.51,-134.4"/>
+<polygon fill="black" stroke="black" points="40.01,-134.45 36.51,-124.45 33.01,-134.45 40.01,-134.45"/>
+</g>
+<!-- CTRL&#45;&gt;BOT -->
+<g id="edge3" class="edge">
+<title>CTRL&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M71.45,-98.95C177.66,-84.35 495.68,-40.65 598.24,-26.56"/>
+<polygon fill="black" stroke="black" points="598.46,-30.06 607.89,-25.23 597.5,-23.13 598.46,-30.06"/>
+</g>
+<!-- INT_MINDOTS -->
+<g id="node7" class="node">
+<title>INT_MINDOTS</title>
+<ellipse fill="lightblue" stroke="black" cx="89.51" cy="-216.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="89.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MINDOTS -->
+<g id="edge5" class="edge">
+<title>INT_TOP&#45;&gt;INT_MINDOTS</title>
+<path fill="none" stroke="black" d="M208.32,-312.21C184.36,-293.06 142.09,-259.28 114.97,-237.6"/>
+<polygon fill="black" stroke="black" points="117.24,-234.93 107.24,-231.42 112.87,-240.4 117.24,-234.93"/>
+</g>
+<!-- INT_ZERO -->
+<g id="node8" class="node">
+<title>INT_ZERO</title>
+<ellipse fill="lightblue" stroke="black" cx="177.51" cy="-216.25" rx="18" ry="18"/>
+<text text-anchor="middle" x="177.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">0</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_ZERO -->
+<g id="edge6" class="edge">
+<title>INT_TOP&#45;&gt;INT_ZERO</title>
+<path fill="none" stroke="black" d="M219.07,-310.12C211.12,-292.37 198.43,-264.01 189.16,-243.29"/>
+<polygon fill="black" stroke="black" points="192.44,-242.05 185.16,-234.35 186.05,-244.91 192.44,-242.05"/>
+</g>
+<!-- INT_MAXDOTS -->
+<g id="node9" class="node">
+<title>INT_MAXDOTS</title>
+<ellipse fill="lightblue" stroke="black" cx="265.51" cy="-216.25" rx="27" ry="18"/>
+<text text-anchor="middle" x="265.51" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">...</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_MAXDOTS -->
+<g id="edge7" class="edge">
+<title>INT_TOP&#45;&gt;INT_MAXDOTS</title>
+<path fill="none" stroke="black" d="M232.6,-309.64C238.76,-292.36 248.36,-265.39 255.61,-245.04"/>
+<polygon fill="black" stroke="black" points="258.89,-246.26 258.95,-235.66 252.3,-243.91 258.89,-246.26"/>
+</g>
+<!-- INT_BOT -->
+<g id="node6" class="node">
+<title>INT_BOT</title>
+<ellipse fill="lightblue" stroke="black" cx="226.51" cy="-104.75" rx="33.95" ry="18"/>
+<text text-anchor="start" x="209.63" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="225.38" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- INT_BOT&#45;&gt;BOT -->
+<g id="edge11" class="edge">
+<title>INT_BOT&#45;&gt;BOT</title>
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+<!-- INT_MINDOTS&#45;&gt;INT_BOT -->
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+<title>INT_MINDOTS&#45;&gt;INT_BOT</title>
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+<!-- INT_MINDOTS&#45;&gt;INT_ZERO -->
+<!-- INT_ZERO&#45;&gt;INT_BOT -->
+<g id="edge9" class="edge">
+<title>INT_ZERO&#45;&gt;INT_BOT</title>
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+<!-- INT_ZERO&#45;&gt;INT_MAXDOTS -->
+<!-- INT_MAXDOTS&#45;&gt;INT_BOT -->
+<g id="edge10" class="edge">
+<title>INT_MAXDOTS&#45;&gt;INT_BOT</title>
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+<polygon fill="black" stroke="black" points="239.78,-132.57 233.12,-124.32 233.18,-134.92 239.78,-132.57"/>
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+<!-- FLT_MINDOTS -->
+<g id="node12" class="node">
+<title>FLT_MINDOTS</title>
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+</g>
+<!-- FLT_TOP&#45;&gt;FLT_MINDOTS -->
+<g id="edge15" class="edge">
+<title>FLT_TOP&#45;&gt;FLT_MINDOTS</title>
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+<!-- FLT_ZERO -->
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+<!-- FLT_TOP&#45;&gt;FLT_ZERO -->
+<g id="edge16" class="edge">
+<title>FLT_TOP&#45;&gt;FLT_ZERO</title>
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+<!-- FLT_MAXDOTS -->
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+<!-- FLT_TOP&#45;&gt;FLT_MAXDOTS -->
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+<title>FLT_TOP&#45;&gt;FLT_MAXDOTS</title>
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+<!-- FLT_BOT -->
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+<!-- FLT_BOT&#45;&gt;BOT -->
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+<title>FLT_BOT&#45;&gt;BOT</title>
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+<!-- FLT_MINDOTS&#45;&gt;FLT_BOT -->
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+<title>FLT_MINDOTS&#45;&gt;FLT_BOT</title>
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+<!-- FLT_MINDOTS&#45;&gt;FLT_ZERO -->
+<!-- FLT_ZERO&#45;&gt;FLT_BOT -->
+<g id="edge19" class="edge">
+<title>FLT_ZERO&#45;&gt;FLT_BOT</title>
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+<!-- FLT_ZERO&#45;&gt;FLT_MAXDOTS -->
+<!-- FLT_MAXDOTS&#45;&gt;FLT_BOT -->
+<g id="edge20" class="edge">
+<title>FLT_MAXDOTS&#45;&gt;FLT_BOT</title>
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+<!-- PTR0 -->
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+<polygon fill="none" stroke="black" points="612.51,-82.25 612.51,-104.75 648.51,-104.75 648.51,-82.25 612.51,-82.25"/>
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+<!-- PTR&#45;&gt;PTR0 -->
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+<title>PTR&#45;&gt;PTR0</title>
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+<!-- PTR0&#45;&gt;BOT -->
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+<title>PTR0&#45;&gt;BOT</title>
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+<!-- STRUCT_S1 -->
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+<!-- STRUCT_TOP&#45;&gt;STRUCT_S1 -->
+<g id="edge28" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S1</title>
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+<!-- STRUCT_S2 -->
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+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_S2 -->
+<g id="edge29" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S2</title>
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+<!-- STRUCT_SN -->
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+<!-- STRUCT_TOP&#45;&gt;STRUCT_SN -->
+<g id="edge30" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_SN</title>
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+<!-- STRUCT_BOT -->
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+<title>STRUCT_BOT</title>
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+<!-- STRUCT_S1&#45;&gt;STRUCT_BOT -->
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+<title>STRUCT_S1&#45;&gt;STRUCT_BOT</title>
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+<!-- STRUCT_S1&#45;&gt;STRUCT_S2 -->
+<!-- STRUCT_S2&#45;&gt;STRUCT_BOT -->
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+<!-- STRUCT_S2&#45;&gt;STRUCT_SN -->
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+<!-- MEM_ALIAS1 -->
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+<!-- MEM_BOT -->
+<g id="node23" class="node">
+<title>MEM_BOT</title>
+<ellipse fill="blue" stroke="black" cx="1147.51" cy="-104.75" rx="43.67" ry="18"/>
+<text text-anchor="start" x="1123.51" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
+<text text-anchor="start" x="1139.26" y="-100.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">:mem</text>
+</g>
+<!-- MEM_BOT&#45;&gt;BOT -->
+<g id="edge44" class="edge">
+<title>MEM_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M1107.37,-97.41C1008.15,-81.75 752.85,-41.44 662.66,-27.2"/>
+<polygon fill="black" stroke="black" points="663.45,-23.78 653.03,-25.68 662.36,-30.7 663.45,-23.78"/>
+</g>
+<!-- MEM_ALIAS1&#45;&gt;MEM_BOT -->
+<g id="edge41" class="edge">
+<title>MEM_ALIAS1&#45;&gt;MEM_BOT</title>
+<path fill="none" stroke="black" d="M1109.94,-197.17C1117.07,-179.82 1127.93,-153.39 1136.15,-133.4"/>
+<polygon fill="black" stroke="black" points="1139.37,-134.75 1139.94,-124.17 1132.9,-132.09 1139.37,-134.75"/>
+</g>
+<!-- MEM_ALIAS1&#45;&gt;MEM_ALIASDOTS -->
+<!-- MEM_ALIASDOTS&#45;&gt;MEM_BOT -->
+<g id="edge42" class="edge">
+<title>MEM_ALIASDOTS&#45;&gt;MEM_BOT</title>
+<path fill="none" stroke="black" d="M1185.67,-198.62C1178.58,-181.35 1167.36,-154.05 1158.92,-133.51"/>
+<polygon fill="black" stroke="black" points="1162.17,-132.22 1155.13,-124.3 1155.7,-134.88 1162.17,-132.22"/>
+</g>
+<!-- MEM_ALIASDOTS&#45;&gt;MEM_ALIASN -->
+<!-- MEM_ALIASN&#45;&gt;MEM_BOT -->
+<g id="edge43" class="edge">
+<title>MEM_ALIASN&#45;&gt;MEM_BOT</title>
+<path fill="none" stroke="black" d="M1267.02,-202.69C1244.75,-184.62 1203.29,-151 1175.55,-128.49"/>
+<polygon fill="black" stroke="black" points="1177.86,-125.86 1167.89,-122.28 1173.45,-131.3 1177.86,-125.86"/>
+</g>
+<!-- TUPLE1 -->
+<g id="node29" class="node">
+<title>TUPLE1</title>
+<polygon fill="none" stroke="none" points="1399.51,-242.75 1345.51,-242.75 1345.51,-189.75 1399.51,-189.75 1399.51,-242.75"/>
+<polygon fill="pink" stroke="none" points="1353.76,-216.25 1353.76,-238.75 1391.26,-238.75 1391.26,-216.25 1353.76,-216.25"/>
+<polygon fill="none" stroke="black" points="1353.76,-216.25 1353.76,-238.75 1391.26,-238.75 1391.26,-216.25 1353.76,-216.25"/>
+<text text-anchor="start" x="1356.76" y="-222.45" font-family="Times New Roman,serif" font-size="14.00">Tuple</text>
+<polygon fill="black" stroke="none" points="1353.76,-193.75 1353.76,-216.25 1391.26,-216.25 1391.26,-193.75 1353.76,-193.75"/>
+<polygon fill="none" stroke="black" points="1353.76,-193.75 1353.76,-216.25 1391.26,-216.25 1391.26,-193.75 1353.76,-193.75"/>
+<text text-anchor="start" x="1360.88" y="-199.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE1 -->
+<g id="edge48" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE1</title>
+<path fill="none" stroke="black" d="M1413.01,-309.64C1406.37,-294.48 1396.45,-271.87 1388.1,-252.81"/>
+<polygon fill="black" stroke="black" points="1391.35,-251.51 1384.13,-243.76 1384.94,-254.32 1391.35,-251.51"/>
+</g>
+<!-- TUPLE2 -->
+<g id="node30" class="node">
+<title>TUPLE2</title>
+<polygon fill="none" stroke="none" points="1496.51,-254 1442.51,-254 1442.51,-178.5 1496.51,-178.5 1496.51,-254"/>
+<polygon fill="pink" stroke="none" points="1450.76,-227.5 1450.76,-250 1488.26,-250 1488.26,-227.5 1450.76,-227.5"/>
+<polygon fill="none" stroke="black" points="1450.76,-227.5 1450.76,-250 1488.26,-250 1488.26,-227.5 1450.76,-227.5"/>
+<text text-anchor="start" x="1453.76" y="-233.7" font-family="Times New Roman,serif" font-size="14.00">Tuple</text>
+<polygon fill="black" stroke="none" points="1450.76,-205 1450.76,-227.5 1488.26,-227.5 1488.26,-205 1450.76,-205"/>
+<polygon fill="none" stroke="black" points="1450.76,-205 1450.76,-227.5 1488.26,-227.5 1488.26,-205 1450.76,-205"/>
+<text text-anchor="start" x="1457.88" y="-211.2" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="1450.76,-182.5 1450.76,-205 1488.26,-205 1488.26,-182.5 1450.76,-182.5"/>
+<polygon fill="none" stroke="black" points="1450.76,-182.5 1450.76,-205 1488.26,-205 1488.26,-182.5 1450.76,-182.5"/>
+<text text-anchor="start" x="1457.88" y="-188.7" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLE2 -->
+<g id="edge49" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE2</title>
+<path fill="none" stroke="black" d="M1428.17,-309.64C1433.64,-297.4 1441.29,-280.3 1448.53,-264.14"/>
+<polygon fill="black" stroke="black" points="1451.68,-265.65 1452.57,-255.09 1445.3,-262.79 1451.68,-265.65"/>
+</g>
+<!-- TUPLEN -->
+<g id="node31" class="node">
+<title>TUPLEN</title>
+<polygon fill="none" stroke="none" points="1593.51,-265.25 1539.51,-265.25 1539.51,-167.25 1593.51,-167.25 1593.51,-265.25"/>
+<polygon fill="pink" stroke="none" points="1547.76,-238.75 1547.76,-261.25 1585.26,-261.25 1585.26,-238.75 1547.76,-238.75"/>
+<polygon fill="none" stroke="black" points="1547.76,-238.75 1547.76,-261.25 1585.26,-261.25 1585.26,-238.75 1547.76,-238.75"/>
+<text text-anchor="start" x="1550.76" y="-244.95" font-family="Times New Roman,serif" font-size="14.00">Tuple</text>
+<polygon fill="black" stroke="none" points="1547.76,-216.25 1547.76,-238.75 1585.26,-238.75 1585.26,-216.25 1547.76,-216.25"/>
+<polygon fill="none" stroke="black" points="1547.76,-216.25 1547.76,-238.75 1585.26,-238.75 1585.26,-216.25 1547.76,-216.25"/>
+<text text-anchor="start" x="1554.88" y="-222.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+<polygon fill="black" stroke="none" points="1547.76,-193.75 1547.76,-216.25 1585.26,-216.25 1585.26,-193.75 1547.76,-193.75"/>
+<polygon fill="none" stroke="black" points="1547.76,-193.75 1547.76,-216.25 1585.26,-216.25 1585.26,-193.75 1547.76,-193.75"/>
+<text text-anchor="start" x="1560.88" y="-199.95" font-family="Times New Roman,serif" font-size="14.00" fill="white">...</text>
+<polygon fill="black" stroke="none" points="1547.76,-171.25 1547.76,-193.75 1585.26,-193.75 1585.26,-171.25 1547.76,-171.25"/>
+<polygon fill="none" stroke="black" points="1547.76,-171.25 1547.76,-193.75 1585.26,-193.75 1585.26,-171.25 1547.76,-171.25"/>
+<text text-anchor="start" x="1554.88" y="-177.45" font-family="Times New Roman,serif" font-size="14.00" fill="white">type</text>
+</g>
+<!-- TUPLE_TOP&#45;&gt;TUPLEN -->
+<g id="edge50" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLEN</title>
+<path fill="none" stroke="black" d="M1440.81,-311.52C1463.97,-294.15 1502.28,-265.42 1530.53,-244.23"/>
+<polygon fill="black" stroke="black" points="1532.58,-247.07 1538.48,-238.27 1528.38,-241.47 1532.58,-247.07"/>
+</g>
+<!-- TUPLE_BOT -->
+<g id="node28" class="node">
+<title>TUPLE_BOT</title>
+<ellipse fill="pink" stroke="black" cx="1420.51" cy="-104.75" rx="42.65" ry="18"/>
+<text text-anchor="start" x="1397.26" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="1413.01" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+</g>
+<!-- TUPLE_BOT&#45;&gt;BOT -->
+<g id="edge54" class="edge">
+<title>TUPLE_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M1379.42,-99.5C1240.27,-85.13 788.44,-38.44 663.04,-25.49"/>
+<polygon fill="black" stroke="black" points="663.44,-22.01 653.13,-24.46 662.72,-28.97 663.44,-22.01"/>
+</g>
+<!-- TUPLE1&#45;&gt;TUPLE_BOT -->
+<g id="edge51" class="edge">
+<title>TUPLE1&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M1383.64,-189.85C1391.12,-172.8 1400.96,-150.34 1408.59,-132.93"/>
+<polygon fill="black" stroke="black" points="1411.61,-134.78 1412.41,-124.21 1405.19,-131.97 1411.61,-134.78"/>
+</g>
+<!-- TUPLE2&#45;&gt;TUPLE_BOT -->
+<g id="edge52" class="edge">
+<title>TUPLE2&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M1453.19,-178.79C1446.51,-163.86 1438.92,-146.89 1432.73,-133.07"/>
+<polygon fill="black" stroke="black" points="1436.02,-131.83 1428.74,-124.13 1429.63,-134.69 1436.02,-131.83"/>
+</g>
+<!-- TUPLEN&#45;&gt;TUPLE_BOT -->
+<g id="edge53" class="edge">
+<title>TUPLEN&#45;&gt;TUPLE_BOT</title>
+<path fill="none" stroke="black" d="M1539.73,-195.16C1514.22,-176.03 1475.9,-147.29 1449.64,-127.59"/>
+<polygon fill="black" stroke="black" points="1451.86,-124.89 1441.76,-121.69 1447.66,-130.49 1451.86,-124.89"/>
+</g>
+</g>
+</svg>
diff --git a/chapter14/README.md b/chapter14/README.md
index 8451c4f5..fccb2aa5 100644
--- a/chapter14/README.md
+++ b/chapter14/README.md
@@ -65,12 +65,27 @@ f32       // IEEE 754 32-bit float
 
 ## Type Implementation
 
-The TypeInteger class is reworked to support a full range of min/max values.
-At this time, only some power-of-2 sized ranges are exposed but the optimizer
+The <font style="background-color:lightblue">TypeInteger type</font> class is
+reworked to support a full range of min/max values.  At this time, only some
+power-of-2 sized ranges are exposed to the programmer but the optimizer
 internally supports all ranges.  The MEET operation takes the min-of-mins and
 max-of-maxes.  The DUAL operation inverts the min and max.
 
-The TypeFloat class is also reworked to support 32-bit and 64-bit sizes.
+Example: the constant `0` has `[0...0]`.
+
+Example: the `bool` the range `[0...1]`.
+
+Example: the `u8` the range `[0...255]`.
+
+Example: the `i8` the range `[-128...127]`.
+
+Example: the `dual` of `bool` is `[1...0]` (just swap min and max).
+
+The <font style="background-color:aqua">TypeFloat</font> class is also reworked to support 32-bit and 64-bit sizes.
+
+![Graph1](./docs/lattice.svg)
+
+
 
 
 ## Nodes
diff --git a/chapter14/docs/lattice.gv b/chapter14/docs/lattice.gv
new file mode 100644
index 00000000..4a8b1d4c
--- /dev/null
+++ b/chapter14/docs/lattice.gv
@@ -0,0 +1,202 @@
+digraph Lattice {
+    compound = true;
+    // Define nodes
+    splines=false;
+    node [shape=circle, style=filled];
+    nodesep=0.6;
+
+    TOP [label=<<B>⊤</B >>, fillcolor=black, fontcolor=white];
+    BOT [label=<<B>⊥</B>>, fillcolor=black, fontcolor=white];
+
+    // ----------------------
+    // Control
+    XCTRL [label=<<B>⊤</B >:ctrl>, fillcolor=yellow, shape=oval];
+    CTRL  [label=<<B>⊥</B>:ctrl>, fillcolor=yellow, shape=oval];
+
+    TOP   -> XCTRL;
+    XCTRL -> CTRL;
+    CTRL  -> BOT;
+
+    // ----------------------
+    // Integers
+    INT_TOP [label=<<B>⊤</B >:int>, fillcolor=lightblue, shape=oval];
+    INT_BOT [label=<<B>⊥</B>:int>, fillcolor=lightblue, shape=oval];
+
+    INT_HI    [label="max < min" , fillcolor=lightblue, shape=oval];
+    INT_XBOOL [label="1...0", fillcolor=lightblue, shape=oval];
+    INT_CON   [label="constants", fillcolor=lightblue, shape=oval];
+    INT_CON0  [label="0", fillcolor=lightblue];
+    INT_CON1  [label="1", fillcolor=lightblue];
+    INT_BOOL  [label="0...1", fillcolor=lightblue,shape=oval];
+    INT_LO    [label="max > min" , fillcolor=lightblue, shape=oval];
+
+    TOP        -> INT_TOP;
+    INT_TOP    -> INT_HI;
+    INT_HI     -> INT_XBOOL;
+    INT_XBOOL  -> INT_CON0;
+    INT_XBOOL  -> INT_CON1;
+    INT_HI     -> INT_CON;
+    INT_CON0   -> INT_BOOL;
+    INT_CON1   -> INT_BOOL;
+    INT_BOOL   -> INT_LO;
+    INT_CON    -> INT_LO;
+    INT_LO     -> INT_BOT;
+    INT_BOT    -> BOT;
+
+    INT_CON0 -> INT_CON1 -> INT_CON [style=invis];
+
+    // ----------------------
+    // Integers
+    FLT_TOP [label=<<B>⊤</B >:flt>, fillcolor=aqua, shape=oval];
+    FLT_BOT [label=<<B>⊥</B>:flt>, fillcolor=aqua, shape=oval];
+
+    FLT_CON64  [label="64b consts\n[excludes\n32b consts]" , fillcolor=aqua, shape=oval];
+    FLT_CON32  [label="32b consts", fillcolor=aqua, shape=oval];
+    FLT_CONPI  [label="3.14159...", fillcolor=aqua, shape=oval];
+    FLT_X32    [label="~f32", fillcolor=aqua];
+    FLT_CON0   [label="0."  , fillcolor=aqua];
+    FLT_32     [label="f32" , fillcolor=aqua];
+
+    TOP       -> FLT_TOP;
+    FLT_TOP   -> FLT_CON64
+    FLT_TOP   -> FLT_CONPI
+    FLT_CON64 -> FLT_BOT
+    FLT_CONPI -> FLT_BOT
+    
+    FLT_TOP   -> FLT_X32;
+    FLT_X32   -> FLT_CON0;
+    FLT_X32   -> FLT_CON32;
+    FLT_CON0  -> FLT_32;
+    FLT_CON32 -> FLT_32;
+    FLT_32    -> FLT_BOT
+    
+    FLT_BOT   -> BOT;
+
+    FLT_CON0 -> FLT_CON32 -> FLT_CONPI -> FLT_CON64 [style=invis];
+
+
+    // ----------------------
+    // Pointers, just a boolean nil/not and a struct
+    PTR  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="green"><FONT color="white">*ptr</FONT></TD></TR>
+        <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
+      </TABLE>
+    >];
+    PTR0  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="green"><FONT color="white">*ptr?</FONT></TD></TR>
+        <TR><TD BGCOLOR="lightgreen">struct</TD></TR>
+      </TABLE>
+    >];
+    
+    TOP  -> PTR;
+    PTR  -> PTR0;
+    PTR0 -> BOT;
+
+    // ----------------------
+    // Structs
+    STRUCT_TOP    [label=<<B>⊤</B >:struct>, fillcolor=lightgreen, shape=oval];
+    STRUCT_BOT    [label=<<B>⊥</B>:struct>, fillcolor=lightgreen, shape=oval];
+
+    STRUCT_S1  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+    STRUCT_S2  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+    STRUCT_SN  [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">...  </TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+        <TR><TD BGCOLOR="lightgreen">field</TD><TD BGCOLOR="lightblue:green" gradientangle="315">int/ptr</TD></TR>
+      </TABLE>
+    >];
+
+
+    TOP          -> STRUCT_TOP;
+    STRUCT_TOP   -> STRUCT_S1;
+    STRUCT_TOP   -> STRUCT_S2;
+    STRUCT_TOP   -> STRUCT_SN;
+    STRUCT_S1    -> STRUCT_BOT;
+    STRUCT_S2    -> STRUCT_BOT;
+    STRUCT_SN    -> STRUCT_BOT;
+    STRUCT_BOT   -> BOT;
+
+    STRUCT_S1 -> STRUCT_S2 -> STRUCT_SN [style=invis];
+
+    // ----------------------
+    // Memory
+    MEM_TOP       [label=<<B>⊤</B >:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_BOT       [label=<<B>⊥</B>:mem>, fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_ALIAS1    [label="#1"     , fillcolor=blue, fontcolor=white];
+    MEM_ALIASDOTS [label="..."    , fillcolor=blue, fontcolor=white, shape=oval];
+    MEM_ALIASN    [label="#n"     , fillcolor=blue, fontcolor=white];
+
+    TOP          -> MEM_TOP;
+    MEM_TOP      -> MEM_ALIAS1;
+    MEM_TOP      -> MEM_ALIASDOTS;
+    MEM_TOP      -> MEM_ALIASN;
+    MEM_ALIAS1   -> MEM_BOT;
+    MEM_ALIASDOTS -> MEM_BOT;
+    MEM_ALIASN    -> MEM_BOT;
+    MEM_BOT       -> BOT;
+
+    MEM_ALIAS1 -> MEM_ALIASDOTS -> MEM_ALIASN [style=invis];
+
+    // ----------------------
+    // Tuples
+
+    TUPLE_TOP [label=<<B>⊤</B >:tuple>, fillcolor=pink, shape=oval];
+    TUPLE_BOT [label=<<B>⊥</B>:tuple>, fillcolor=pink, shape=oval];
+
+    TUPLE1 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLE2 [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+    TUPLEN [shape=none, fillcolor=none, label=<
+      <TABLE BORDER="0" CELLBORDER="1" CELLSPACING="0">
+        <TH><TD BGCOLOR="pink">Tuple</TD></TH>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">...</FONT></TD></TR>
+        <TR><TD BGCOLOR="black" ><FONT color="white">type</FONT></TD></TR>
+      </TABLE>
+    >];
+
+
+    TOP -> TUPLE_TOP;
+    TUPLE_TOP -> TUPLE1;
+    TUPLE_TOP -> TUPLE2;
+    TUPLE_TOP -> TUPLEN;
+    TUPLE1 -> TUPLE_BOT;
+    TUPLE2 -> TUPLE_BOT;
+    TUPLEN -> TUPLE_BOT;
+    TUPLE_BOT -> BOT;
+
+    // ----------------------
+    // Additional customization
+    {rank=same; TOP;}
+    {rank=same; INT_TOP; FLT_TOP; XCTRL; PTR; STRUCT_TOP; MEM_TOP; TUPLE_TOP}
+    {rank=same; INT_CON; INT_CON0; INT_CON1;
+                FLT_CON32; FLT_CON64;  FLT_CON0; FLT_CONPI;
+                STRUCT_S1; STRUCT_S2; STRUCT_SN;
+                MEM_ALIAS1;  MEM_ALIASDOTS; MEM_ALIASN;
+                TUPLE1; TUPLE2; TUPLEN;
+    }
+    {rank=same; INT_BOT; FLT_BOT; CTRL; PTR0; STRUCT_BOT; MEM_BOT; TUPLE_BOT}
+    {rank=same; BOT;}
+}
diff --git a/chapter14/docs/lattice.svg b/chapter14/docs/lattice.svg
new file mode 100644
index 00000000..99f74ed0
--- /dev/null
+++ b/chapter14/docs/lattice.svg
@@ -0,0 +1,691 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
+ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<!-- Generated by graphviz version 12.2.0 (20241103.1931)
+ -->
+<!-- Title: Lattice Pages: 1 -->
+<svg width="1800pt" height="760pt"
+ viewBox="0.00 0.00 1800.00 759.54" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 755.54)">
+<title>Lattice</title>
+<polygon fill="white" stroke="none" points="-4,4 -4,-755.54 1796,-755.54 1796,4 -4,4"/>
+<!-- TOP -->
+<g id="node1" class="node">
+<title>TOP</title>
+<ellipse fill="black" stroke="black" cx="829" cy="-730.42" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="821.12" y="-725.99" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
+</g>
+<!-- XCTRL -->
+<g id="node3" class="node">
+<title>XCTRL</title>
+<ellipse fill="yellow" stroke="black" cx="45" cy="-646.79" rx="36.51" ry="18"/>
+<text text-anchor="start" x="26.25" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="42" y="-642.74" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+</g>
+<!-- TOP&#45;&gt;XCTRL -->
+<g id="edge1" class="edge">
+<title>TOP&#45;&gt;XCTRL</title>
+<path fill="none" stroke="black" d="M807.62,-727.19C702.73,-716.27 241.49,-668.25 91.97,-652.68"/>
+<polygon fill="black" stroke="black" points="92.33,-649.2 82.02,-651.65 91.61,-656.16 92.33,-649.2"/>
+</g>
+<!-- INT_TOP -->
+<g id="node5" class="node">
+<title>INT_TOP</title>
+<ellipse fill="lightblue" stroke="black" cx="404" cy="-646.79" rx="33.95" ry="18"/>
+<text text-anchor="start" x="387.12" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="402.88" y="-642.74" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- TOP&#45;&gt;INT_TOP -->
+<g id="edge4" class="edge">
+<title>TOP&#45;&gt;INT_TOP</title>
+<path fill="none" stroke="black" d="M808.21,-725.42C742.28,-712.76 536.86,-673.31 446.91,-656.03"/>
+<polygon fill="black" stroke="black" points="447.74,-652.63 437.26,-654.18 446.42,-659.5 447.74,-652.63"/>
+</g>
+<!-- FLT_TOP -->
+<g id="node14" class="node">
+<title>FLT_TOP</title>
+<ellipse fill="aqua" stroke="black" cx="636" cy="-646.79" rx="32.41" ry="18"/>
+<text text-anchor="start" x="620.25" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="636" y="-642.74" font-family="Times New Roman,serif" font-size="14.00">:flt</text>
+</g>
+<!-- TOP&#45;&gt;FLT_TOP -->
+<g id="edge18" class="edge">
+<title>TOP&#45;&gt;FLT_TOP</title>
+<path fill="none" stroke="black" d="M809.79,-721.29C777.65,-707.7 712.5,-680.14 671.73,-662.91"/>
+<polygon fill="black" stroke="black" points="673.15,-659.7 662.58,-659.03 670.42,-666.15 673.15,-659.7"/>
+</g>
+<!-- PTR -->
+<g id="node22" class="node">
+<title>PTR</title>
+<polygon fill="none" stroke="none" points="856,-673.29 802,-673.29 802,-620.29 856,-620.29 856,-673.29"/>
+<polygon fill="green" stroke="none" points="811,-646.79 811,-669.29 847,-669.29 847,-646.79 811,-646.79"/>
+<polygon fill="none" stroke="black" points="811,-646.79 811,-669.29 847,-669.29 847,-646.79 811,-646.79"/>
+<text text-anchor="start" x="818.12" y="-652.99" font-family="Times New Roman,serif" font-size="14.00" fill="white">*ptr</text>
+<polygon fill="lightgreen" stroke="none" points="811,-624.29 811,-646.79 847,-646.79 847,-624.29 811,-624.29"/>
+<polygon fill="none" stroke="black" points="811,-624.29 811,-646.79 847,-646.79 847,-624.29 811,-624.29"/>
+<text text-anchor="start" x="814" y="-630.49" font-family="Times New Roman,serif" font-size="14.00">struct</text>
+</g>
+<!-- TOP&#45;&gt;PTR -->
+<g id="edge33" class="edge">
+<title>TOP&#45;&gt;PTR</title>
+<path fill="none" stroke="black" d="M829,-708.82C829,-701.44 829,-692.87 829,-684.54"/>
+<polygon fill="black" stroke="black" points="832.5,-684.57 829,-674.57 825.5,-684.57 832.5,-684.57"/>
+</g>
+<!-- STRUCT_TOP -->
+<g id="node24" class="node">
+<title>STRUCT_TOP</title>
+<ellipse fill="lightgreen" stroke="black" cx="997" cy="-646.79" rx="44.7" ry="18"/>
+<text text-anchor="start" x="972.25" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="988" y="-642.74" font-family="Times New Roman,serif" font-size="14.00">:struct</text>
+</g>
+<!-- TOP&#45;&gt;STRUCT_TOP -->
+<g id="edge36" class="edge">
+<title>TOP&#45;&gt;STRUCT_TOP</title>
+<path fill="none" stroke="black" d="M847.95,-720.21C874.78,-707.18 924.42,-683.06 959.01,-666.25"/>
+<polygon fill="black" stroke="black" points="960.39,-669.47 967.86,-661.95 957.34,-663.17 960.39,-669.47"/>
+</g>
+<!-- MEM_TOP -->
+<g id="node29" class="node">
+<title>MEM_TOP</title>
+<ellipse fill="blue" stroke="black" cx="1346" cy="-646.79" rx="43.67" ry="18"/>
+<text text-anchor="start" x="1322" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊤</text>
+<text text-anchor="start" x="1337.75" y="-642.74" font-family="Times New Roman,serif" font-size="14.00" fill="white">:mem</text>
+</g>
+<!-- TOP&#45;&gt;MEM_TOP -->
+<g id="edge46" class="edge">
+<title>TOP&#45;&gt;MEM_TOP</title>
+<path fill="none" stroke="black" d="M849.91,-726.12C925.08,-714.25 1183.05,-673.52 1294.28,-655.96"/>
+<polygon fill="black" stroke="black" points="1294.7,-659.44 1304.03,-654.42 1293.61,-652.52 1294.7,-659.44"/>
+</g>
+<!-- TUPLE_TOP -->
+<g id="node34" class="node">
+<title>TUPLE_TOP</title>
+<ellipse fill="pink" stroke="black" cx="1619" cy="-646.79" rx="42.65" ry="18"/>
+<text text-anchor="start" x="1595.75" y="-642.74" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊤</text>
+<text text-anchor="start" x="1611.5" y="-642.74" font-family="Times New Roman,serif" font-size="14.00">:tuple</text>
+</g>
+<!-- TOP&#45;&gt;TUPLE_TOP -->
+<g id="edge56" class="edge">
+<title>TOP&#45;&gt;TUPLE_TOP</title>
+<path fill="none" stroke="black" d="M850.13,-727.23C953.9,-716.51 1410.83,-669.3 1566.7,-653.2"/>
+<polygon fill="black" stroke="black" points="1566.73,-656.71 1576.32,-652.2 1566.01,-649.75 1566.73,-656.71"/>
+</g>
+<!-- BOT -->
+<g id="node2" class="node">
+<title>BOT</title>
+<ellipse fill="black" stroke="black" cx="829" cy="-21.12" rx="21.12" ry="21.12"/>
+<text text-anchor="start" x="821.12" y="-16.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00" fill="white">⊥</text>
+</g>
+<!-- CTRL -->
+<g id="node4" class="node">
+<title>CTRL</title>
+<ellipse fill="yellow" stroke="black" cx="44" cy="-104.75" rx="36.51" ry="18"/>
+<text text-anchor="start" x="25.25" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="41" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:ctrl</text>
+</g>
+<!-- XCTRL&#45;&gt;CTRL -->
+<g id="edge2" class="edge">
+<title>XCTRL&#45;&gt;CTRL</title>
+<path fill="none" stroke="black" d="M44.97,-628.45C44.82,-548.91 44.24,-233.44 44.05,-134.55"/>
+<polygon fill="black" stroke="black" points="47.56,-134.6 44.04,-124.6 40.56,-134.61 47.56,-134.6"/>
+</g>
+<!-- CTRL&#45;&gt;BOT -->
+<g id="edge3" class="edge">
+<title>CTRL&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M79.77,-100.03C211.83,-86.3 670.83,-38.57 796.8,-25.47"/>
+<polygon fill="black" stroke="black" points="796.84,-28.99 806.43,-24.47 796.12,-22.02 796.84,-28.99"/>
+</g>
+<!-- INT_HI -->
+<g id="node7" class="node">
+<title>INT_HI</title>
+<ellipse fill="lightblue" stroke="black" cx="203" cy="-566.29" rx="52.89" ry="18"/>
+<text text-anchor="middle" x="203" y="-561.24" font-family="Times New Roman,serif" font-size="14.00">max &lt; min</text>
+</g>
+<!-- INT_TOP&#45;&gt;INT_HI -->
+<g id="edge5" class="edge">
+<title>INT_TOP&#45;&gt;INT_HI</title>
+<path fill="none" stroke="black" d="M377.31,-635.37C344.15,-622.42 287.09,-600.13 247.33,-584.6"/>
+<polygon fill="black" stroke="black" points="248.85,-581.44 238.26,-581.06 246.31,-587.96 248.85,-581.44"/>
+</g>
+<!-- INT_BOT -->
+<g id="node6" class="node">
+<title>INT_BOT</title>
+<ellipse fill="lightblue" stroke="black" cx="404" cy="-104.75" rx="33.95" ry="18"/>
+<text text-anchor="start" x="387.12" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="402.88" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+</g>
+<!-- INT_BOT&#45;&gt;BOT -->
+<g id="edge15" class="edge">
+<title>INT_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M435.6,-97.68C514.28,-82.57 718.3,-43.39 797.2,-28.23"/>
+<polygon fill="black" stroke="black" points="797.68,-31.7 806.84,-26.38 796.36,-24.83 797.68,-31.7"/>
+</g>
+<!-- INT_XBOOL -->
+<g id="node8" class="node">
+<title>INT_XBOOL</title>
+<ellipse fill="lightblue" stroke="black" cx="97" cy="-483.97" rx="27.81" ry="18"/>
+<text text-anchor="middle" x="97" y="-478.92" font-family="Times New Roman,serif" font-size="14.00">1...0</text>
+</g>
+<!-- INT_HI&#45;&gt;INT_XBOOL -->
+<g id="edge6" class="edge">
+<title>INT_HI&#45;&gt;INT_XBOOL</title>
+<path fill="none" stroke="black" d="M182.06,-549.42C165.21,-536.65 141.43,-518.64 123.29,-504.9"/>
+<polygon fill="black" stroke="black" points="125.68,-502.32 115.6,-499.07 121.46,-507.89 125.68,-502.32"/>
+</g>
+<!-- INT_CON -->
+<g id="node9" class="node">
+<title>INT_CON</title>
+<ellipse fill="lightblue" stroke="black" cx="203" cy="-370.65" rx="45.21" ry="18"/>
+<text text-anchor="middle" x="203" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">constants</text>
+</g>
+<!-- INT_HI&#45;&gt;INT_CON -->
+<g id="edge9" class="edge">
+<title>INT_HI&#45;&gt;INT_CON</title>
+<path fill="none" stroke="black" d="M203,-547.89C203,-514.02 203,-441.56 203,-400.55"/>
+<polygon fill="black" stroke="black" points="206.5,-400.66 203,-390.66 199.5,-400.66 206.5,-400.66"/>
+</g>
+<!-- INT_CON0 -->
+<g id="node10" class="node">
+<title>INT_CON0</title>
+<ellipse fill="lightblue" stroke="black" cx="18" cy="-370.65" rx="18" ry="18"/>
+<text text-anchor="middle" x="18" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">0</text>
+</g>
+<!-- INT_XBOOL&#45;&gt;INT_CON0 -->
+<g id="edge7" class="edge">
+<title>INT_XBOOL&#45;&gt;INT_CON0</title>
+<path fill="none" stroke="black" d="M85.68,-467.02C72.29,-448.15 49.88,-416.57 34.54,-394.96"/>
+<polygon fill="black" stroke="black" points="37.56,-393.17 28.92,-387.04 31.86,-397.22 37.56,-393.17"/>
+</g>
+<!-- INT_CON1 -->
+<g id="node11" class="node">
+<title>INT_CON1</title>
+<ellipse fill="lightblue" stroke="black" cx="97" cy="-370.65" rx="18" ry="18"/>
+<text text-anchor="middle" x="97" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">1</text>
+</g>
+<!-- INT_XBOOL&#45;&gt;INT_CON1 -->
+<g id="edge8" class="edge">
+<title>INT_XBOOL&#45;&gt;INT_CON1</title>
+<path fill="none" stroke="black" d="M97,-465.58C97,-448.1 97,-420.85 97,-400.2"/>
+<polygon fill="black" stroke="black" points="100.5,-400.44 97,-390.44 93.5,-400.44 100.5,-400.44"/>
+</g>
+<!-- INT_LO -->
+<g id="node13" class="node">
+<title>INT_LO</title>
+<ellipse fill="lightblue" stroke="black" cx="203" cy="-185.25" rx="52.89" ry="18"/>
+<text text-anchor="middle" x="203" y="-180.2" font-family="Times New Roman,serif" font-size="14.00">max &gt; min</text>
+</g>
+<!-- INT_CON&#45;&gt;INT_LO -->
+<g id="edge13" class="edge">
+<title>INT_CON&#45;&gt;INT_LO</title>
+<path fill="none" stroke="black" d="M203,-352.2C203,-320.06 203,-253.57 203,-214.9"/>
+<polygon fill="black" stroke="black" points="206.5,-215.14 203,-205.14 199.5,-215.14 206.5,-215.14"/>
+</g>
+<!-- INT_CON0&#45;&gt;INT_CON1 -->
+<!-- INT_BOOL -->
+<g id="node12" class="node">
+<title>INT_BOOL</title>
+<ellipse fill="lightblue" stroke="black" cx="97" cy="-262.45" rx="27.81" ry="18"/>
+<text text-anchor="middle" x="97" y="-257.4" font-family="Times New Roman,serif" font-size="14.00">0...1</text>
+</g>
+<!-- INT_CON0&#45;&gt;INT_BOOL -->
+<g id="edge10" class="edge">
+<title>INT_CON0&#45;&gt;INT_BOOL</title>
+<path fill="none" stroke="black" d="M28.33,-355.77C41.09,-338.61 63.05,-309.09 78.7,-288.06"/>
+<polygon fill="black" stroke="black" points="81.32,-290.39 84.48,-280.28 75.71,-286.21 81.32,-290.39"/>
+</g>
+<!-- INT_CON1&#45;&gt;INT_CON -->
+<!-- INT_CON1&#45;&gt;INT_BOOL -->
+<g id="edge11" class="edge">
+<title>INT_CON1&#45;&gt;INT_BOOL</title>
+<path fill="none" stroke="black" d="M97,-352.59C97,-336.35 97,-311.6 97,-292.3"/>
+<polygon fill="black" stroke="black" points="100.5,-292.34 97,-282.34 93.5,-292.34 100.5,-292.34"/>
+</g>
+<!-- INT_BOOL&#45;&gt;INT_LO -->
+<g id="edge12" class="edge">
+<title>INT_BOOL&#45;&gt;INT_LO</title>
+<path fill="none" stroke="black" d="M114.98,-248.69C130.47,-237.7 153.19,-221.59 171.67,-208.48"/>
+<polygon fill="black" stroke="black" points="173.51,-211.46 179.65,-202.82 169.46,-205.75 173.51,-211.46"/>
+</g>
+<!-- INT_LO&#45;&gt;INT_BOT -->
+<g id="edge14" class="edge">
+<title>INT_LO&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="black" d="M236.64,-171.11C272.65,-157.05 329.61,-134.8 366.9,-120.24"/>
+<polygon fill="black" stroke="black" points="367.88,-123.61 375.92,-116.72 365.33,-117.09 367.88,-123.61"/>
+</g>
+<!-- FLT_CON64 -->
+<g id="node16" class="node">
+<title>FLT_CON64</title>
+<ellipse fill="aqua" stroke="black" cx="709" cy="-370.65" rx="55.33" ry="40.66"/>
+<text text-anchor="middle" x="709" y="-382.1" font-family="Times New Roman,serif" font-size="14.00">64b consts</text>
+<text text-anchor="middle" x="709" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">[excludes</text>
+<text text-anchor="middle" x="709" y="-349.1" font-family="Times New Roman,serif" font-size="14.00">32b consts]</text>
+</g>
+<!-- FLT_TOP&#45;&gt;FLT_CON64 -->
+<g id="edge19" class="edge">
+<title>FLT_TOP&#45;&gt;FLT_CON64</title>
+<path fill="none" stroke="black" d="M640.79,-628.67C651.74,-587.25 678.94,-484.36 695.5,-421.74"/>
+<polygon fill="black" stroke="black" points="698.8,-422.94 697.97,-412.38 692.03,-421.15 698.8,-422.94"/>
+</g>
+<!-- FLT_CONPI -->
+<g id="node18" class="node">
+<title>FLT_CONPI</title>
+<ellipse fill="aqua" stroke="black" cx="562" cy="-370.65" rx="48.79" ry="18"/>
+<text text-anchor="middle" x="562" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">3.14159...</text>
+</g>
+<!-- FLT_TOP&#45;&gt;FLT_CONPI -->
+<g id="edge20" class="edge">
+<title>FLT_TOP&#45;&gt;FLT_CONPI</title>
+<path fill="none" stroke="black" d="M631.14,-628.67C618.63,-581.96 585.17,-457.11 569.85,-399.95"/>
+<polygon fill="black" stroke="black" points="573.23,-399.05 567.27,-390.3 566.47,-400.86 573.23,-399.05"/>
+</g>
+<!-- FLT_X32 -->
+<g id="node19" class="node">
+<title>FLT_X32</title>
+<ellipse fill="aqua" stroke="black" cx="420" cy="-483.97" rx="28.32" ry="28.32"/>
+<text text-anchor="middle" x="420" y="-478.92" font-family="Times New Roman,serif" font-size="14.00">~f32</text>
+</g>
+<!-- FLT_TOP&#45;&gt;FLT_X32 -->
+<g id="edge23" class="edge">
+<title>FLT_TOP&#45;&gt;FLT_X32</title>
+<path fill="none" stroke="black" d="M616.45,-632.06C579.12,-603.92 497.39,-542.31 451.99,-508.09"/>
+<polygon fill="black" stroke="black" points="454.19,-505.36 444.09,-502.13 449.97,-510.95 454.19,-505.36"/>
+</g>
+<!-- FLT_BOT -->
+<g id="node15" class="node">
+<title>FLT_BOT</title>
+<ellipse fill="aqua" stroke="black" cx="636" cy="-104.75" rx="32.41" ry="18"/>
+<text text-anchor="start" x="620.25" y="-100.7" font-family="Times New Roman,serif" font-weight="bold" font-size="14.00">⊥</text>
+<text text-anchor="start" x="636" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:flt</text>
+</g>
+<!-- FLT_BOT&#45;&gt;BOT -->
+<g id="edge29" class="edge">
+<title>FLT_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M661.23,-93.08C696.76,-78.05 761.4,-50.72 799.23,-34.72"/>
+<polygon fill="black" stroke="black" points="800.35,-38.04 808.2,-30.92 797.63,-31.59 800.35,-38.04"/>
+</g>
+<!-- FLT_CON64&#45;&gt;FLT_BOT -->
+<g id="edge21" class="edge">
+<title>FLT_CON64&#45;&gt;FLT_BOT</title>
+<path fill="none" stroke="black" d="M697.99,-330.56C683.16,-276.52 657.1,-181.62 644,-133.89"/>
+<polygon fill="black" stroke="black" points="647.39,-133 641.36,-124.29 640.64,-134.86 647.39,-133"/>
+</g>
+<!-- FLT_CON32 -->
+<g id="node17" class="node">
+<title>FLT_CON32</title>
+<ellipse fill="aqua" stroke="black" cx="420" cy="-370.65" rx="50.33" ry="18"/>
+<text text-anchor="middle" x="420" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">32b consts</text>
+</g>
+<!-- FLT_CON32&#45;&gt;FLT_CONPI -->
+<!-- FLT_32 -->
+<g id="node21" class="node">
+<title>FLT_32</title>
+<ellipse fill="aqua" stroke="black" cx="420" cy="-262.45" rx="23.2" ry="23.2"/>
+<text text-anchor="middle" x="420" y="-257.4" font-family="Times New Roman,serif" font-size="14.00">f32</text>
+</g>
+<!-- FLT_CON32&#45;&gt;FLT_32 -->
+<g id="edge27" class="edge">
+<title>FLT_CON32&#45;&gt;FLT_32</title>
+<path fill="none" stroke="black" d="M420,-352.59C420,-337.77 420,-315.87 420,-297.49"/>
+<polygon fill="black" stroke="black" points="423.5,-297.54 420,-287.54 416.5,-297.54 423.5,-297.54"/>
+</g>
+<!-- FLT_CONPI&#45;&gt;FLT_BOT -->
+<g id="edge22" class="edge">
+<title>FLT_CONPI&#45;&gt;FLT_BOT</title>
+<path fill="none" stroke="black" d="M567.09,-352.38C579.71,-307.01 612.57,-188.95 627.9,-133.86"/>
+<polygon fill="black" stroke="black" points="631.26,-134.83 630.57,-124.26 624.52,-132.95 631.26,-134.83"/>
+</g>
+<!-- FLT_CONPI&#45;&gt;FLT_CON64 -->
+<!-- FLT_X32&#45;&gt;FLT_CON32 -->
+<g id="edge25" class="edge">
+<title>FLT_X32&#45;&gt;FLT_CON32</title>
+<path fill="none" stroke="black" d="M420,-455.17C420,-438.48 420,-417.3 420,-400.44"/>
+<polygon fill="black" stroke="black" points="423.5,-400.57 420,-390.57 416.5,-400.57 423.5,-400.57"/>
+</g>
+<!-- FLT_CON0 -->
+<g id="node20" class="node">
+<title>FLT_CON0</title>
+<ellipse fill="aqua" stroke="black" cx="309" cy="-370.65" rx="18.08" ry="18.08"/>
+<text text-anchor="middle" x="309" y="-365.6" font-family="Times New Roman,serif" font-size="14.00">0.</text>
+</g>
+<!-- FLT_X32&#45;&gt;FLT_CON0 -->
+<g id="edge24" class="edge">
+<title>FLT_X32&#45;&gt;FLT_CON0</title>
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+<!-- FLT_CON0&#45;&gt;FLT_CON32 -->
+<!-- FLT_CON0&#45;&gt;FLT_32 -->
+<g id="edge26" class="edge">
+<title>FLT_CON0&#45;&gt;FLT_32</title>
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+<!-- FLT_32&#45;&gt;FLT_BOT -->
+<g id="edge28" class="edge">
+<title>FLT_32&#45;&gt;FLT_BOT</title>
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+<!-- PTR&#45;&gt;PTR0 -->
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+<title>PTR&#45;&gt;PTR0</title>
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+<!-- PTR0&#45;&gt;BOT -->
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+<title>PTR0&#45;&gt;BOT</title>
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+<!-- STRUCT_TOP&#45;&gt;STRUCT_S1 -->
+<g id="edge37" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S1</title>
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+<!-- STRUCT_S2 -->
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+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_S2 -->
+<g id="edge38" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_S2</title>
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+<!-- STRUCT_SN -->
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+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_SN -->
+<g id="edge39" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_SN</title>
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+<polygon fill="black" stroke="black" points="1164.27,-419.52 1167.25,-409.35 1158.58,-415.44 1164.27,-419.52"/>
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+<!-- STRUCT_BOT -->
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+<title>STRUCT_BOT</title>
+<ellipse fill="lightgreen" stroke="black" cx="995" cy="-104.75" rx="44.7" ry="18"/>
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+</g>
+<!-- STRUCT_BOT&#45;&gt;BOT -->
+<g id="edge43" class="edge">
+<title>STRUCT_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M967.59,-90.27C937.27,-75.36 888.65,-51.46 857.79,-36.28"/>
+<polygon fill="black" stroke="black" points="859.56,-33.25 849.04,-31.98 856.47,-39.53 859.56,-33.25"/>
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+<!-- STRUCT_S1&#45;&gt;STRUCT_BOT -->
+<g id="edge40" class="edge">
+<title>STRUCT_S1&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="black" d="M940.9,-352.79C950.72,-307.77 976.56,-189.3 988.62,-133.98"/>
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+<!-- STRUCT_S1&#45;&gt;STRUCT_S2 -->
+<!-- STRUCT_S2&#45;&gt;STRUCT_BOT -->
+<g id="edge41" class="edge">
+<title>STRUCT_S2&#45;&gt;STRUCT_BOT</title>
+<path fill="none" stroke="black" d="M1058.93,-344.18C1045.59,-294.22 1016.79,-186.34 1002.86,-134.18"/>
+<polygon fill="black" stroke="black" points="1006.24,-133.28 1000.28,-124.52 999.48,-135.08 1006.24,-133.28"/>
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+<!-- STRUCT_S2&#45;&gt;STRUCT_SN -->
+<!-- STRUCT_SN&#45;&gt;STRUCT_BOT -->
+<g id="edge42" class="edge">
+<title>STRUCT_SN&#45;&gt;STRUCT_BOT</title>
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+<polygon fill="black" stroke="black" points="1017.9,-129.37 1009.09,-123.48 1012.3,-133.58 1017.9,-129.37"/>
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+<!-- MEM_ALIAS1 -->
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+<!-- MEM_TOP&#45;&gt;MEM_ALIAS1 -->
+<g id="edge47" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_ALIAS1</title>
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+<polygon fill="black" stroke="black" points="1309.57,-401.48 1304.51,-392.17 1302.66,-402.6 1309.57,-401.48"/>
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+<!-- MEM_ALIASDOTS -->
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+</g>
+<!-- MEM_TOP&#45;&gt;MEM_ALIASDOTS -->
+<g id="edge48" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_ALIASDOTS</title>
+<path fill="none" stroke="black" d="M1348.95,-628.67C1356.56,-581.96 1376.91,-457.11 1386.23,-399.95"/>
+<polygon fill="black" stroke="black" points="1389.64,-400.76 1387.79,-390.33 1382.73,-399.64 1389.64,-400.76"/>
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+<!-- MEM_ALIASN -->
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+<title>MEM_ALIASN</title>
+<ellipse fill="blue" stroke="black" cx="1481" cy="-370.65" rx="20.13" ry="20.13"/>
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+<!-- MEM_TOP&#45;&gt;MEM_ALIASN -->
+<g id="edge49" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_ALIASN</title>
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+<!-- MEM_BOT -->
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+</g>
+<!-- MEM_BOT&#45;&gt;BOT -->
+<g id="edge53" class="edge">
+<title>MEM_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="black" d="M1305.86,-97.41C1206.64,-81.75 951.34,-41.44 861.15,-27.2"/>
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+<!-- MEM_ALIAS1&#45;&gt;MEM_BOT -->
+<g id="edge50" class="edge">
+<title>MEM_ALIAS1&#45;&gt;MEM_BOT</title>
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+<!-- MEM_ALIAS1&#45;&gt;MEM_ALIASDOTS -->
+<!-- MEM_ALIASDOTS&#45;&gt;MEM_BOT -->
+<g id="edge51" class="edge">
+<title>MEM_ALIASDOTS&#45;&gt;MEM_BOT</title>
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+<!-- MEM_ALIASDOTS&#45;&gt;MEM_ALIASN -->
+<!-- MEM_ALIASN&#45;&gt;MEM_BOT -->
+<g id="edge52" class="edge">
+<title>MEM_ALIASN&#45;&gt;MEM_BOT</title>
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+<!-- TUPLE1 -->
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+<!-- TUPLE_TOP&#45;&gt;TUPLE1 -->
+<g id="edge57" class="edge">
+<title>TUPLE_TOP&#45;&gt;TUPLE1</title>
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author	Cliff Click <cliffc@acm.org>	2024-11-27 11:29:33 -0800
committer	Cliff Click <cliffc@acm.org>	2025-01-15 15:07:30 -0800
commit	65454d77eba95d7f814336377f78d9f42c7455f9 (patch)
tree	976efed369498c7e976fe5098f6a406fed81cb53
parent	34766f1a2e9e60626eb1bd5a08140fc41a3770c8 (diff)
download	Simple-65454d77eba95d7f814336377f78d9f42c7455f9.tar.gz Simple-65454d77eba95d7f814336377f78d9f42c7455f9.zip