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-rw-r--r--chapter10b/docs/example1.gv6
-rw-r--r--chapter10b/docs/example1.svg62
-rw-r--r--chapter10b/docs/example2a.gv2
-rw-r--r--chapter10b/docs/example2a.svg50
-rw-r--r--chapter10b/docs/example2b.gv2
-rw-r--r--chapter10b/docs/example2b.svg64
-rw-r--r--chapter10b/docs/example2c.gv2
-rw-r--r--chapter10b/docs/example2c.svg30
-rw-r--r--chapter10b/docs/lattice.gv271
-rw-r--r--chapter10b/docs/lattice.svg830
10 files changed, 690 insertions, 629 deletions
diff --git a/chapter10b/docs/example1.gv b/chapter10b/docs/example1.gv
index 2194ae8f..0b0a5feb 100644
--- a/chapter10b/docs/example1.gv
+++ b/chapter10b/docs/example1.gv
@@ -1,11 +1,13 @@
digraph Memory {
- rankdir=LR;
+ rankdir=BT;
node [shape=box];
M [label="Initial memory"];
X [label="Store x = 42"];
Y [label="Loop: Store y"];
- L [label="Load x -> 42"];
+ L [label="Load x (42)"];
L -> X -> M [color=blue]; Y -> M [color=green];
MemMerge -> X [color=blue]; MemMerge -> Y [color=green];
Return -> MemMerge; Return -> L;
+ { rank=same; MemMerge -> L [style=invis]; }
+ Y -> X [style=invis]; // Layout only: keep the stores in code order.
}
diff --git a/chapter10b/docs/example1.svg b/chapter10b/docs/example1.svg
index c441bc7b..384b6e12 100644
--- a/chapter10b/docs/example1.svg
+++ b/chapter10b/docs/example1.svg
@@ -4,88 +4,90 @@
<!-- Generated by graphviz version 12.2.0 (20241103.1931)
-->
<!-- Title: Memory Pages: 1 -->
-<svg width="448pt" height="98pt"
- viewBox="0.00 0.00 447.50 98.00" 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 94)">
+<svg width="206pt" height="332pt"
+ viewBox="0.00 0.00 205.75 332.00" 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(4 328)">
<title>Memory</title>
-<polygon fill="white" stroke="none" points="-4,4 -4,-94 443.5,-94 443.5,4 -4,4"/>
+<polygon fill="white" stroke="none" points="-4,4 -4,-328 201.75,-328 201.75,4 -4,4"/>
<!-- M -->
<g id="node1" class="node">
<title>M</title>
-<polygon fill="none" stroke="black" points="439.5,-63 341,-63 341,-27 439.5,-27 439.5,-63"/>
-<text text-anchor="middle" x="390.25" y="-39.95" font-family="Times New Roman,serif" font-size="14.00">Initial memory</text>
+<polygon fill="none" stroke="black" points="131.75,-324 33.25,-324 33.25,-288 131.75,-288 131.75,-324"/>
+<text text-anchor="middle" x="82.5" y="-300.95" font-family="Times New Roman,serif" font-size="14.00">Initial memory</text>
</g>
<!-- X -->
<g id="node2" class="node">
<title>X</title>
-<polygon fill="none" stroke="black" points="301.62,-90 217.38,-90 217.38,-54 301.62,-54 301.62,-90"/>
-<text text-anchor="middle" x="259.5" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Store x = 42</text>
+<polygon fill="none" stroke="black" points="160.62,-252 76.38,-252 76.38,-216 160.62,-216 160.62,-252"/>
+<text text-anchor="middle" x="118.5" y="-228.95" font-family="Times New Roman,serif" font-size="14.00">Store x = 42</text>
</g>
<!-- X&#45;&gt;M -->
<g id="edge2" class="edge">
<title>X&#45;&gt;M</title>
-<path fill="none" stroke="blue" d="M301.95,-63.31C310.73,-61.47 320.16,-59.49 329.47,-57.54"/>
-<polygon fill="blue" stroke="blue" points="330.15,-60.97 339.22,-55.49 328.71,-54.12 330.15,-60.97"/>
+<path fill="none" stroke="blue" d="M109.6,-252.3C105.63,-260.02 100.87,-269.29 96.44,-277.89"/>
+<polygon fill="blue" stroke="blue" points="93.45,-276.06 91.99,-286.55 99.67,-279.26 93.45,-276.06"/>
</g>
<!-- Y -->
<g id="node3" class="node">
<title>Y</title>
-<polygon fill="none" stroke="black" points="305,-36 214,-36 214,0 305,0 305,-36"/>
-<text text-anchor="middle" x="259.5" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Loop: Store y</text>
+<polygon fill="none" stroke="black" points="91,-180 0,-180 0,-144 91,-144 91,-180"/>
+<text text-anchor="middle" x="45.5" y="-156.95" font-family="Times New Roman,serif" font-size="14.00">Loop: Store y</text>
</g>
<!-- Y&#45;&gt;M -->
<g id="edge3" class="edge">
<title>Y&#45;&gt;M</title>
-<path fill="none" stroke="green" d="M305.17,-27.37C313.06,-29.02 321.38,-30.77 329.61,-32.49"/>
-<polygon fill="green" stroke="green" points="328.72,-35.88 339.22,-34.51 330.16,-29.03 328.72,-35.88"/>
+<path fill="none" stroke="green" d="M49.63,-180.44C53.93,-198.41 60.94,-227.23 67.5,-252 69.64,-260.07 72.07,-268.81 74.33,-276.81"/>
+<polygon fill="green" stroke="green" points="70.96,-277.75 77.07,-286.4 77.69,-275.82 70.96,-277.75"/>
</g>
+<!-- Y&#45;&gt;X -->
<!-- L -->
<g id="node4" class="node">
<title>L</title>
-<polygon fill="none" stroke="black" points="178,-90 90,-90 90,-54 178,-54 178,-90"/>
-<text text-anchor="middle" x="134" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Load x &#45;&gt; 42</text>
+<polygon fill="none" stroke="black" points="197.75,-108 117.25,-108 117.25,-72 197.75,-72 197.75,-108"/>
+<text text-anchor="middle" x="157.5" y="-84.95" font-family="Times New Roman,serif" font-size="14.00">Load x (42)</text>
</g>
<!-- L&#45;&gt;X -->
<g id="edge1" class="edge">
<title>L&#45;&gt;X</title>
-<path fill="none" stroke="blue" d="M178.19,-72C187.1,-72 196.56,-72 205.76,-72"/>
-<polygon fill="blue" stroke="blue" points="205.69,-75.5 215.69,-72 205.69,-68.5 205.69,-75.5"/>
+<path fill="none" stroke="blue" d="M152.87,-108.41C148.09,-126.37 140.36,-155.17 133.5,-180 131.28,-188.05 128.82,-196.78 126.56,-204.78"/>
+<polygon fill="blue" stroke="blue" points="123.2,-203.8 123.83,-214.37 129.93,-205.71 123.2,-203.8"/>
</g>
<!-- MemMerge -->
<g id="node5" class="node">
<title>MemMerge</title>
-<polygon fill="none" stroke="black" points="175,-36 93,-36 93,0 175,0 175,-36"/>
-<text text-anchor="middle" x="134" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
+<polygon fill="none" stroke="black" points="99.5,-108 17.5,-108 17.5,-72 99.5,-72 99.5,-108"/>
+<text text-anchor="middle" x="58.5" y="-84.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
</g>
<!-- MemMerge&#45;&gt;X -->
<g id="edge4" class="edge">
<title>MemMerge&#45;&gt;X</title>
-<path fill="none" stroke="blue" d="M175.44,-35.68C185.46,-40.06 196.34,-44.82 206.82,-49.4"/>
-<polygon fill="blue" stroke="blue" points="205.17,-52.5 215.74,-53.3 207.98,-46.09 205.17,-52.5"/>
+<path fill="none" stroke="blue" d="M75.59,-108.21C84.32,-117.95 94.37,-130.8 100.5,-144 109.34,-163.03 113.85,-186.32 116.15,-204.31"/>
+<polygon fill="blue" stroke="blue" points="112.64,-204.46 117.22,-214.02 119.6,-203.7 112.64,-204.46"/>
</g>
<!-- MemMerge&#45;&gt;Y -->
<g id="edge5" class="edge">
<title>MemMerge&#45;&gt;Y</title>
-<path fill="none" stroke="green" d="M175.44,-18C184.05,-18 193.28,-18 202.35,-18"/>
-<polygon fill="green" stroke="green" points="202.19,-21.5 212.19,-18 202.19,-14.5 202.19,-21.5"/>
+<path fill="none" stroke="green" d="M55.29,-108.3C53.92,-115.68 52.28,-124.48 50.75,-132.75"/>
+<polygon fill="green" stroke="green" points="47.34,-131.94 48.95,-142.41 54.22,-133.21 47.34,-131.94"/>
</g>
+<!-- MemMerge&#45;&gt;L -->
<!-- Return -->
<g id="node6" class="node">
<title>Return</title>
-<polygon fill="none" stroke="black" points="54,-63 0,-63 0,-27 54,-27 54,-63"/>
-<text text-anchor="middle" x="27" y="-39.95" font-family="Times New Roman,serif" font-size="14.00">Return</text>
+<polygon fill="none" stroke="black" points="134.5,-36 80.5,-36 80.5,0 134.5,0 134.5,-36"/>
+<text text-anchor="middle" x="107.5" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Return</text>
</g>
<!-- Return&#45;&gt;L -->
<g id="edge7" class="edge">
<title>Return&#45;&gt;L</title>
-<path fill="none" stroke="black" d="M54.5,-51.81C61.93,-53.72 70.3,-55.88 78.72,-58.04"/>
-<polygon fill="black" stroke="black" points="77.74,-61.4 88.3,-60.5 79.48,-54.62 77.74,-61.4"/>
+<path fill="none" stroke="black" d="M119.86,-36.3C125.55,-44.27 132.43,-53.9 138.74,-62.74"/>
+<polygon fill="black" stroke="black" points="135.74,-64.56 144.4,-70.66 141.44,-60.49 135.74,-64.56"/>
</g>
<!-- Return&#45;&gt;MemMerge -->
<g id="edge6" class="edge">
<title>Return&#45;&gt;MemMerge</title>
-<path fill="none" stroke="black" d="M54.5,-38.19C62.79,-36.05 72.25,-33.62 81.65,-31.2"/>
-<polygon fill="black" stroke="black" points="82.32,-34.65 91.14,-28.77 80.58,-27.87 82.32,-34.65"/>
+<path fill="none" stroke="black" d="M95.39,-36.3C89.81,-44.27 83.07,-53.9 76.88,-62.74"/>
+<polygon fill="black" stroke="black" points="74.21,-60.46 71.34,-70.66 79.94,-64.47 74.21,-60.46"/>
</g>
</g>
</svg>
diff --git a/chapter10b/docs/example2a.gv b/chapter10b/docs/example2a.gv
index c2db6771..d92eea41 100644
--- a/chapter10b/docs/example2a.gv
+++ b/chapter10b/docs/example2a.gv
@@ -1,5 +1,5 @@
digraph Memory {
- rankdir=LR;
+ rankdir=RL;
node [shape=box];
M [label="Default memory"];
X [label="Store x"];
diff --git a/chapter10b/docs/example2a.svg b/chapter10b/docs/example2a.svg
index fc95e08c..97fb144e 100644
--- a/chapter10b/docs/example2a.svg
+++ b/chapter10b/docs/example2a.svg
@@ -12,71 +12,71 @@
<!-- M -->
<g id="node1" class="node">
<title>M</title>
-<polygon fill="none" stroke="black" points="414.5,-90 307.75,-90 307.75,-54 414.5,-54 414.5,-90"/>
-<text text-anchor="middle" x="361.12" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Default memory</text>
+<polygon fill="none" stroke="black" points="106.75,-90 0,-90 0,-54 106.75,-54 106.75,-90"/>
+<text text-anchor="middle" x="53.38" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Default memory</text>
</g>
<!-- X -->
<g id="node2" class="node">
<title>X</title>
-<polygon fill="none" stroke="black" points="270.75,-90 215.75,-90 215.75,-54 270.75,-54 270.75,-90"/>
-<text text-anchor="middle" x="243.25" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Store x</text>
+<polygon fill="none" stroke="black" points="198.75,-90 143.75,-90 143.75,-54 198.75,-54 198.75,-90"/>
+<text text-anchor="middle" x="171.25" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Store x</text>
</g>
<!-- X&#45;&gt;M -->
<g id="edge1" class="edge">
<title>X&#45;&gt;M</title>
-<path fill="none" stroke="blue" d="M271.13,-72C278.66,-72 287.18,-72 295.9,-72"/>
-<polygon fill="blue" stroke="blue" points="295.89,-75.5 305.89,-72 295.89,-68.5 295.89,-75.5"/>
+<path fill="none" stroke="blue" d="M143.37,-72C135.84,-72 127.32,-72 118.6,-72"/>
+<polygon fill="blue" stroke="blue" points="118.61,-68.5 108.61,-72 118.61,-75.5 118.61,-68.5"/>
</g>
<!-- Y -->
<g id="node3" class="node">
<title>Y</title>
-<polygon fill="none" stroke="black" points="270.75,-36 215.75,-36 215.75,0 270.75,0 270.75,-36"/>
-<text text-anchor="middle" x="243.25" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Store y</text>
+<polygon fill="none" stroke="black" points="198.75,-36 143.75,-36 143.75,0 198.75,0 198.75,-36"/>
+<text text-anchor="middle" x="171.25" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Store y</text>
</g>
<!-- Y&#45;&gt;M -->
<g id="edge2" class="edge">
<title>Y&#45;&gt;M</title>
-<path fill="none" stroke="green" d="M271.13,-30.52C282.85,-35.99 296.97,-42.57 310.49,-48.87"/>
-<polygon fill="green" stroke="green" points="308.74,-51.91 319.28,-52.97 311.69,-45.57 308.74,-51.91"/>
+<path fill="none" stroke="green" d="M143.37,-30.52C131.65,-35.99 117.53,-42.57 104.01,-48.87"/>
+<polygon fill="green" stroke="green" points="102.81,-45.57 95.22,-52.97 105.76,-51.91 102.81,-45.57"/>
</g>
<!-- MemMerge -->
<g id="node4" class="node">
<title>MemMerge</title>
-<polygon fill="none" stroke="black" points="173,-90 91,-90 91,-54 173,-54 173,-90"/>
-<text text-anchor="middle" x="132" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
+<polygon fill="none" stroke="black" points="323.5,-90 241.5,-90 241.5,-54 323.5,-54 323.5,-90"/>
+<text text-anchor="middle" x="282.5" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
</g>
<!-- MemMerge&#45;&gt;M -->
<g id="edge3" class="edge">
<title>MemMerge&#45;&gt;M</title>
-<path fill="none" stroke="black" d="M173.11,-88.58C186.42,-93.14 201.5,-97.3 215.75,-99 240.02,-101.9 246.57,-102.57 270.75,-99 279.43,-97.72 288.44,-95.77 297.24,-93.5"/>
-<polygon fill="black" stroke="black" points="298.08,-96.9 306.79,-90.87 296.22,-90.15 298.08,-96.9"/>
-<text text-anchor="middle" x="243.25" y="-104.63" font-family="Times New Roman,serif" font-size="14.00">default</text>
+<path fill="none" stroke="black" d="M241.39,-88.58C228.08,-93.14 213,-97.3 198.75,-99 174.48,-101.9 167.93,-102.57 143.75,-99 135.07,-97.72 126.06,-95.77 117.26,-93.5"/>
+<polygon fill="black" stroke="black" points="118.28,-90.15 107.71,-90.87 116.42,-96.9 118.28,-90.15"/>
+<text text-anchor="middle" x="171.25" y="-104.63" font-family="Times New Roman,serif" font-size="14.00">default</text>
</g>
<!-- MemMerge&#45;&gt;X -->
<g id="edge4" class="edge">
<title>MemMerge&#45;&gt;X</title>
-<path fill="none" stroke="blue" d="M173.37,-72C183.42,-72 194.16,-72 204.1,-72"/>
-<polygon fill="blue" stroke="blue" points="203.79,-75.5 213.79,-72 203.79,-68.5 203.79,-75.5"/>
-<text text-anchor="middle" x="194.38" y="-75.2" font-family="Times New Roman,serif" font-size="14.00">x</text>
+<path fill="none" stroke="blue" d="M241.13,-72C231.08,-72 220.34,-72 210.4,-72"/>
+<polygon fill="blue" stroke="blue" points="210.71,-68.5 200.71,-72 210.71,-75.5 210.71,-68.5"/>
+<text text-anchor="middle" x="220.12" y="-75.2" font-family="Times New Roman,serif" font-size="14.00">x</text>
</g>
<!-- MemMerge&#45;&gt;Y -->
<g id="edge5" class="edge">
<title>MemMerge&#45;&gt;Y</title>
-<path fill="none" stroke="green" d="M170.29,-53.57C181.65,-47.95 194.12,-41.79 205.45,-36.19"/>
-<polygon fill="green" stroke="green" points="206.69,-39.48 214.11,-31.91 203.59,-33.2 206.69,-39.48"/>
-<text text-anchor="middle" x="194.38" y="-44.97" font-family="Times New Roman,serif" font-size="14.00">y</text>
+<path fill="none" stroke="green" d="M244.21,-53.57C232.85,-47.95 220.38,-41.79 209.05,-36.19"/>
+<polygon fill="green" stroke="green" points="210.91,-33.2 200.39,-31.91 207.81,-39.48 210.91,-33.2"/>
+<text text-anchor="middle" x="220.12" y="-44.97" font-family="Times New Roman,serif" font-size="14.00">y</text>
</g>
<!-- Return -->
<g id="node5" class="node">
<title>Return</title>
-<polygon fill="none" stroke="black" points="54,-90 0,-90 0,-54 54,-54 54,-90"/>
-<text text-anchor="middle" x="27" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Return</text>
+<polygon fill="none" stroke="black" points="414.5,-90 360.5,-90 360.5,-54 414.5,-54 414.5,-90"/>
+<text text-anchor="middle" x="387.5" y="-66.95" font-family="Times New Roman,serif" font-size="14.00">Return</text>
</g>
<!-- Return&#45;&gt;MemMerge -->
<g id="edge6" class="edge">
<title>Return&#45;&gt;MemMerge</title>
-<path fill="none" stroke="black" d="M54.26,-72C61.97,-72 70.68,-72 79.39,-72"/>
-<polygon fill="black" stroke="black" points="79.25,-75.5 89.25,-72 79.25,-68.5 79.25,-75.5"/>
+<path fill="none" stroke="black" d="M360.24,-72C352.53,-72 343.82,-72 335.11,-72"/>
+<polygon fill="black" stroke="black" points="335.25,-68.5 325.25,-72 335.25,-75.5 335.25,-68.5"/>
</g>
</g>
</svg>
diff --git a/chapter10b/docs/example2b.gv b/chapter10b/docs/example2b.gv
index 17b35910..4ddd36b5 100644
--- a/chapter10b/docs/example2b.gv
+++ b/chapter10b/docs/example2b.gv
@@ -1,5 +1,5 @@
digraph Memory {
- rankdir=LR;
+ rankdir=RL;
node [shape=box];
P [label="MemPhi(x)"];
B [label="BulkMemPhi(All except x)"];
diff --git a/chapter10b/docs/example2b.svg b/chapter10b/docs/example2b.svg
index 67d74ea8..4e0616f1 100644
--- a/chapter10b/docs/example2b.svg
+++ b/chapter10b/docs/example2b.svg
@@ -12,90 +12,90 @@
<!-- P -->
<g id="node1" class="node">
<title>P</title>
-<polygon fill="none" stroke="black" points="278.38,-67 198.62,-67 198.62,-31 278.38,-31 278.38,-67"/>
-<text text-anchor="middle" x="238.5" y="-43.95" font-family="Times New Roman,serif" font-size="14.00">MemPhi(x)</text>
+<polygon fill="none" stroke="black" points="249.12,-67 169.38,-67 169.38,-31 249.12,-31 249.12,-67"/>
+<text text-anchor="middle" x="209.25" y="-43.95" font-family="Times New Roman,serif" font-size="14.00">MemPhi(x)</text>
</g>
<!-- Left -->
<g id="node3" class="node">
<title>Left</title>
-<polygon fill="none" stroke="black" points="447.25,-102 393.25,-102 393.25,-66 447.25,-66 447.25,-102"/>
-<text text-anchor="middle" x="420.25" y="-78.95" font-family="Times New Roman,serif" font-size="14.00">Left</text>
+<polygon fill="none" stroke="black" points="54.5,-102 0.5,-102 0.5,-66 54.5,-66 54.5,-102"/>
+<text text-anchor="middle" x="27.5" y="-78.95" font-family="Times New Roman,serif" font-size="14.00">Left</text>
</g>
<!-- P&#45;&gt;Left -->
<g id="edge1" class="edge">
<title>P&#45;&gt;Left</title>
-<path fill="none" stroke="blue" d="M278.66,-45.11C306.2,-43.68 343.56,-44.4 374.75,-54.5 378.99,-55.87 383.21,-57.77 387.27,-59.95"/>
-<polygon fill="blue" stroke="blue" points="385.27,-62.84 395.64,-65.02 388.9,-56.85 385.27,-62.84"/>
-<text text-anchor="middle" x="357.12" y="-57.7" font-family="Times New Roman,serif" font-size="14.00">slice x</text>
+<path fill="none" stroke="blue" d="M169.09,-45.11C141.55,-43.68 104.19,-44.4 73,-54.5 68.76,-55.87 64.54,-57.77 60.48,-59.95"/>
+<polygon fill="blue" stroke="blue" points="58.85,-56.85 52.11,-65.02 62.48,-62.84 58.85,-56.85"/>
+<text text-anchor="middle" x="90.62" y="-57.7" font-family="Times New Roman,serif" font-size="14.00">slice x</text>
</g>
<!-- Right -->
<g id="node4" class="node">
<title>Right</title>
-<polygon fill="none" stroke="black" points="447.25,-162 393.25,-162 393.25,-126 447.25,-126 447.25,-162"/>
-<text text-anchor="middle" x="420.25" y="-138.95" font-family="Times New Roman,serif" font-size="14.00">Right</text>
+<polygon fill="none" stroke="black" points="54.5,-162 0.5,-162 0.5,-126 54.5,-126 54.5,-162"/>
+<text text-anchor="middle" x="27.5" y="-138.95" font-family="Times New Roman,serif" font-size="14.00">Right</text>
</g>
<!-- P&#45;&gt;Right -->
<g id="edge2" class="edge">
<title>P&#45;&gt;Right</title>
-<path fill="none" stroke="blue" d="M278.82,-64.2C306.43,-75.51 343.81,-92.12 374.75,-110.5 379.08,-113.07 383.48,-115.98 387.76,-118.98"/>
-<polygon fill="blue" stroke="blue" points="385.46,-121.64 395.6,-124.72 389.6,-115.99 385.46,-121.64"/>
-<text text-anchor="middle" x="357.12" y="-113.7" font-family="Times New Roman,serif" font-size="14.00">slice x</text>
+<path fill="none" stroke="blue" d="M168.93,-64.2C141.32,-75.51 103.94,-92.12 73,-110.5 68.67,-113.07 64.27,-115.98 59.99,-118.98"/>
+<polygon fill="blue" stroke="blue" points="58.15,-115.99 52.15,-124.72 62.29,-121.64 58.15,-115.99"/>
+<text text-anchor="middle" x="90.62" y="-113.7" font-family="Times New Roman,serif" font-size="14.00">slice x</text>
</g>
<!-- Region -->
<g id="node5" class="node">
<title>Region</title>
-<polygon fill="none" stroke="black" points="447.75,-36 392.75,-36 392.75,0 447.75,0 447.75,-36"/>
-<text text-anchor="middle" x="420.25" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Region</text>
+<polygon fill="none" stroke="black" points="55,-36 0,-36 0,0 55,0 55,-36"/>
+<text text-anchor="middle" x="27.5" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Region</text>
</g>
<!-- P&#45;&gt;Region -->
<g id="edge5" class="edge">
<title>P&#45;&gt;Region</title>
-<path fill="none" stroke="black" stroke-dasharray="5,2" d="M275.99,-30.51C294.51,-22.15 317.65,-13.21 339.5,-9 353.05,-6.39 368.04,-7.15 381.34,-9.05"/>
-<polygon fill="black" stroke="black" points="380.57,-12.47 391.02,-10.71 381.75,-5.57 380.57,-12.47"/>
+<path fill="none" stroke="black" stroke-dasharray="5,2" d="M171.76,-30.51C153.24,-22.15 130.1,-13.21 108.25,-9 94.7,-6.39 79.71,-7.15 66.41,-9.05"/>
+<polygon fill="black" stroke="black" points="66,-5.57 56.73,-10.71 67.18,-12.47 66,-5.57"/>
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<!-- B -->
<g id="node2" class="node">
<title>B</title>
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-<text text-anchor="middle" x="238.5" y="-108.95" font-family="Times New Roman,serif" font-size="14.00">BulkMemPhi(All except x)</text>
+<polygon fill="none" stroke="black" points="292.25,-132 126.25,-132 126.25,-96 292.25,-96 292.25,-132"/>
+<text text-anchor="middle" x="209.25" y="-108.95" font-family="Times New Roman,serif" font-size="14.00">BulkMemPhi(All except x)</text>
</g>
<!-- B&#45;&gt;Left -->
<g id="edge3" class="edge">
<title>B&#45;&gt;Left</title>
-<path fill="none" stroke="black" d="M321.72,-119C339.48,-118.2 357.95,-115.9 374.75,-111 377.84,-110.1 380.93,-108.93 383.97,-107.57"/>
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+<polygon fill="black" stroke="black" points="65.62,-104.58 55.13,-103.12 62.42,-110.81 65.62,-104.58"/>
</g>
<!-- B&#45;&gt;Right -->
<g id="edge4" class="edge">
<title>B&#45;&gt;Right</title>
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-<polygon fill="black" stroke="black" points="380.94,-141.15 391.38,-139.35 382.09,-134.25 380.94,-141.15"/>
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+<polygon fill="black" stroke="black" points="65.66,-134.25 56.37,-139.35 66.81,-141.15 65.66,-134.25"/>
</g>
<!-- B&#45;&gt;Region -->
<g id="edge6" class="edge">
<title>B&#45;&gt;Region</title>
-<path fill="none" stroke="black" stroke-dasharray="5,2" d="M280.68,-95.69C293.83,-89.64 308.37,-82.73 321.5,-76 345.68,-63.61 351.41,-59.9 374.75,-46 377.38,-44.43 380.08,-42.8 382.8,-41.14"/>
-<polygon fill="black" stroke="black" points="384.61,-44.13 391.27,-35.89 380.92,-38.18 384.61,-44.13"/>
+<path fill="none" stroke="black" stroke-dasharray="5,2" d="M167.07,-95.69C153.92,-89.64 139.38,-82.73 126.25,-76 102.07,-63.61 96.34,-59.9 73,-46 70.37,-44.43 67.67,-42.8 64.95,-41.14"/>
+<polygon fill="black" stroke="black" points="66.83,-38.18 56.48,-35.89 63.14,-44.13 66.83,-38.18"/>
</g>
<!-- MemMerge -->
<g id="node6" class="node">
<title>MemMerge</title>
-<polygon fill="none" stroke="black" points="82,-94 0,-94 0,-58 82,-58 82,-94"/>
-<text text-anchor="middle" x="41" y="-70.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
+<polygon fill="none" stroke="black" points="447.75,-94 365.75,-94 365.75,-58 447.75,-58 447.75,-94"/>
+<text text-anchor="middle" x="406.75" y="-70.95" font-family="Times New Roman,serif" font-size="14.00">MemMerge</text>
</g>
<!-- MemMerge&#45;&gt;P -->
<g id="edge7" class="edge">
<title>MemMerge&#45;&gt;P</title>
-<path fill="none" stroke="blue" d="M82.36,-64.23C88.24,-62.81 94.25,-61.5 100,-60.5 128.58,-55.53 160.88,-52.69 186.99,-51.07"/>
-<polygon fill="blue" stroke="blue" points="186.85,-54.59 196.64,-50.52 186.45,-47.6 186.85,-54.59"/>
-<text text-anchor="middle" x="118.75" y="-63.7" font-family="Times New Roman,serif" font-size="14.00">x</text>
+<path fill="none" stroke="blue" d="M365.39,-64.23C359.51,-62.81 353.5,-61.5 347.75,-60.5 319.17,-55.53 286.87,-52.69 260.76,-51.07"/>
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+<text text-anchor="middle" x="329" y="-63.7" font-family="Times New Roman,serif" font-size="14.00">x</text>
</g>
<!-- MemMerge&#45;&gt;B -->
<g id="edge8" class="edge">
<title>MemMerge&#45;&gt;B</title>
-<path fill="none" stroke="black" d="M82.03,-83.78C100.1,-87.29 122.25,-91.6 144.12,-95.85"/>
-<polygon fill="black" stroke="black" points="143.19,-99.23 153.67,-97.71 144.52,-92.36 143.19,-99.23"/>
-<text text-anchor="middle" x="118.75" y="-97.06" font-family="Times New Roman,serif" font-size="14.00">default</text>
+<path fill="none" stroke="black" d="M365.72,-83.78C347.65,-87.29 325.5,-91.6 303.63,-95.85"/>
+<polygon fill="black" stroke="black" points="303.23,-92.36 294.08,-97.71 304.56,-99.23 303.23,-92.36"/>
+<text text-anchor="middle" x="329" y="-97.06" font-family="Times New Roman,serif" font-size="14.00">default</text>
</g>
</g>
</svg>
diff --git a/chapter10b/docs/example2c.gv b/chapter10b/docs/example2c.gv
index 7a0562ee..4fae3bba 100644
--- a/chapter10b/docs/example2c.gv
+++ b/chapter10b/docs/example2c.gv
@@ -1,5 +1,5 @@
digraph Memory {
- rankdir=LR;
+ rankdir=RL;
node [shape=box];
M [label="Prior x memory"];
L [label="Load p.x"];
diff --git a/chapter10b/docs/example2c.svg b/chapter10b/docs/example2c.svg
index 1d51ccca..8249d677 100644
--- a/chapter10b/docs/example2c.svg
+++ b/chapter10b/docs/example2c.svg
@@ -12,45 +12,45 @@
<!-- M -->
<g id="node1" class="node">
<title>M</title>
-<polygon fill="none" stroke="black" points="474.25,-59 370.5,-59 370.5,-23 474.25,-23 474.25,-59"/>
-<text text-anchor="middle" x="422.38" y="-35.95" font-family="Times New Roman,serif" font-size="14.00">Prior x memory</text>
+<polygon fill="none" stroke="black" points="103.75,-59 0,-59 0,-23 103.75,-23 103.75,-59"/>
+<text text-anchor="middle" x="51.88" y="-35.95" font-family="Times New Roman,serif" font-size="14.00">Prior x memory</text>
</g>
<!-- L -->
<g id="node2" class="node">
<title>L</title>
-<polygon fill="none" stroke="black" points="333.5,-36 268.75,-36 268.75,0 333.5,0 333.5,-36"/>
-<text text-anchor="middle" x="301.12" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Load p.x</text>
+<polygon fill="none" stroke="black" points="205.5,-36 140.75,-36 140.75,0 205.5,0 205.5,-36"/>
+<text text-anchor="middle" x="173.12" y="-12.95" font-family="Times New Roman,serif" font-size="14.00">Load p.x</text>
</g>
<!-- L&#45;&gt;M -->
<g id="edge1" class="edge">
<title>L&#45;&gt;M</title>
-<path fill="none" stroke="blue" d="M333.77,-24.1C341.63,-25.62 350.33,-27.3 359.1,-28.99"/>
-<polygon fill="blue" stroke="blue" points="358.23,-32.39 368.71,-30.84 359.56,-25.51 358.23,-32.39"/>
+<path fill="none" stroke="blue" d="M140.48,-24.1C132.62,-25.62 123.92,-27.3 115.15,-28.99"/>
+<polygon fill="blue" stroke="blue" points="114.69,-25.51 105.54,-30.84 116.02,-32.39 114.69,-25.51"/>
</g>
<!-- S -->
<g id="node3" class="node">
<title>S</title>
-<polygon fill="none" stroke="black" points="102.25,-59 36.75,-59 36.75,-23 102.25,-23 102.25,-59"/>
-<text text-anchor="middle" x="69.5" y="-35.95" font-family="Times New Roman,serif" font-size="14.00">Store p.x</text>
+<polygon fill="none" stroke="black" points="437.5,-59 372,-59 372,-23 437.5,-23 437.5,-59"/>
+<text text-anchor="middle" x="404.75" y="-35.95" font-family="Times New Roman,serif" font-size="14.00">Store p.x</text>
</g>
<!-- S&#45;&gt;M -->
<g id="edge2" class="edge">
<title>S&#45;&gt;M</title>
-<path fill="none" stroke="blue" d="M102.48,-45.13C118.77,-47.03 138.91,-49.06 157,-50 226.01,-53.58 305.22,-49.84 358.81,-46.15"/>
-<polygon fill="blue" stroke="blue" points="358.94,-49.65 368.67,-45.45 358.44,-42.67 358.94,-49.65"/>
+<path fill="none" stroke="blue" d="M371.77,-45.13C355.48,-47.03 335.34,-49.06 317.25,-50 248.24,-53.58 169.03,-49.84 115.44,-46.15"/>
+<polygon fill="blue" stroke="blue" points="115.81,-42.67 105.58,-45.45 115.31,-49.65 115.81,-42.67"/>
</g>
<!-- S&#45;&gt;L -->
<g id="edge3" class="edge">
<title>S&#45;&gt;L</title>
-<path fill="none" stroke="black" stroke-dasharray="5,2" d="M102.43,-37.8C142.7,-33.77 212.1,-26.82 257.04,-22.32"/>
-<polygon fill="black" stroke="black" points="257.36,-25.8 266.96,-21.32 256.66,-18.84 257.36,-25.8"/>
-<text text-anchor="middle" x="203.88" y="-35.44" font-family="Times New Roman,serif" font-size="14.00">execute load first</text>
+<path fill="none" stroke="black" stroke-dasharray="5,2" d="M371.82,-37.8C331.55,-33.77 262.15,-26.82 217.21,-22.32"/>
+<polygon fill="black" stroke="black" points="217.59,-18.84 207.29,-21.32 216.89,-25.8 217.59,-18.84"/>
+<text text-anchor="middle" x="270.38" y="-35.44" font-family="Times New Roman,serif" font-size="14.00">execute load first</text>
</g>
<!-- Y -->
<g id="node4" class="node">
<title>Y</title>
-<polygon fill="none" stroke="black" points="139,-113 0,-113 0,-77 139,-77 139,-113"/>
-<text text-anchor="middle" x="69.5" y="-89.95" font-family="Times New Roman,serif" font-size="14.00">Store p.y: independent</text>
+<polygon fill="none" stroke="black" points="474.25,-113 335.25,-113 335.25,-77 474.25,-77 474.25,-113"/>
+<text text-anchor="middle" x="404.75" y="-89.95" font-family="Times New Roman,serif" font-size="14.00">Store p.y: independent</text>
</g>
</g>
</svg>
diff --git a/chapter10b/docs/lattice.gv b/chapter10b/docs/lattice.gv
index f87acfed..f9fb2b09 100644
--- a/chapter10b/docs/lattice.gv
+++ b/chapter10b/docs/lattice.gv
@@ -1,161 +1,114 @@
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];
-
- // ----------------------
- // 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="#2" , 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">
- <TR><TD BGCOLOR="pink">Tuple</TD></TR>
- <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">
- <TR><TD BGCOLOR="pink">Tuple</TD></TR>
- <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">
- <TR><TD BGCOLOR="pink">Tuple</TD></TR>
- <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; STRUCT_TOP; MEM_TOP; TUPLE_TOP}
- {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;}
+ rankdir=TB;
+ newrank=true;
+ // Preserve the same-rank ordering edges through cluster layout.
+ remincross=false;
+ nodesep=0.22;
+ ranksep=0.65;
+ node [shape=ellipse, style=filled, fontname="DejaVu Sans", fontsize=13];
+ edge [color="#555555", arrowsize=0.6];
+
+ // These arrows are lattice-order edges, not use/definition edges.
+ TOP [label="⊤", fillcolor=black, fontcolor=white];
+ BOT [label="⊥", fillcolor=black, fontcolor=white];
+
+ subgraph cluster_control {
+ label="Control"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#ffff00"];
+ XCTRL [label="⊤:ctrl"];
+ CTRL [label="⊥:ctrl"];
+ XCTRL -> CTRL;
+ }
+
+ subgraph cluster_integer {
+ label="Integer"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#add8e6"];
+ INT_TOP [label="⊤:int"];
+ INT_BOT [label="⊥:int"];
+ INT_NEG [label="… −2, −1"];
+ INT_ZERO [label="0"];
+ INT_POS [label="1, 2, …"];
+ {rank=same; INT_NEG; INT_ZERO; INT_POS;}
+ INT_NEG -> INT_ZERO -> INT_POS [style=invis];
+ INT_TOP -> {INT_NEG INT_ZERO INT_POS};
+ {INT_NEG INT_ZERO INT_POS} -> INT_BOT;
+ }
+
+ subgraph cluster_pointer {
+ label="Pointer = nullability × struct type";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#008000", fontcolor=white];
+ PTR_TOP [label="⊤:ptr\n[*⊤:struct]"];
+ PTR_BOT [label="⊥:ptr\n[*⊥:struct?]"];
+ PTR_NULL [label="null"];
+ PTR_ANY [label="*⊥:struct\n[ptr any struct]"];
+ PTR_PERSON [label="*Person"];
+ PTR_S1 [label="*s1"];
+ PTR_MORE [label="*s2, …"];
+ PTR_PERSON_NIL [label="*Person?"];
+ PTR_S1_NIL [label="*s1?"];
+ PTR_MORE_NIL [label="*s2?, …"];
+ {rank=same; PTR_PERSON; PTR_S1; PTR_MORE; PTR_NULL;}
+ {rank=same; PTR_ANY; PTR_PERSON_NIL; PTR_S1_NIL; PTR_MORE_NIL;}
+ PTR_PERSON -> PTR_S1 -> PTR_MORE -> PTR_NULL [style=invis];
+ PTR_ANY -> PTR_PERSON_NIL -> PTR_S1_NIL -> PTR_MORE_NIL [style=invis];
+ PTR_TOP -> {PTR_PERSON PTR_S1 PTR_MORE PTR_NULL};
+ {PTR_PERSON PTR_S1 PTR_MORE} -> PTR_ANY;
+ PTR_PERSON -> PTR_PERSON_NIL;
+ PTR_S1 -> PTR_S1_NIL;
+ PTR_MORE -> PTR_MORE_NIL;
+ PTR_NULL -> {PTR_PERSON_NIL PTR_S1_NIL PTR_MORE_NIL};
+ {PTR_ANY PTR_PERSON_NIL PTR_S1_NIL PTR_MORE_NIL} -> PTR_BOT;
+ }
+
+ subgraph cluster_struct {
+ label="Struct\nnamed collection of named scalar types";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#90ee90"];
+ STRUCT_TOP [label="⊤:struct\n[struct top]"];
+ STRUCT_BOT [label="⊥:struct\n[struct bottom]"];
+ STRUCT_PERSON [label="Person\nage: int", shape=box];
+ STRUCT_S1 [label="s1\nx: int", shape=box];
+ STRUCT_S2 [label="s2\nx: int, y: *s1", shape=box];
+ STRUCT_MORE [label="…", shape=box];
+ {rank=same; STRUCT_PERSON; STRUCT_S1; STRUCT_S2; STRUCT_MORE;}
+ STRUCT_PERSON -> STRUCT_S1 -> STRUCT_S2 -> STRUCT_MORE [style=invis];
+ STRUCT_TOP -> {STRUCT_PERSON STRUCT_S1 STRUCT_S2 STRUCT_MORE};
+ {STRUCT_PERSON STRUCT_S1 STRUCT_S2 STRUCT_MORE} -> STRUCT_BOT;
+ }
+
+ subgraph cluster_memory {
+ label="Memory\nprecise alias slices"; fontname="Arial"; color="#cccccc";
+ node [fillcolor="#00008b", fontcolor=white];
+ MEM_TOP [label="⊤:mem"];
+ MEM_BOT [label="⊥:mem"];
+ MEM_ALIAS2 [label="MEM#2"];
+ MEM_ALIAS3 [label="MEM#3"];
+ MEM_MORE [label="…"];
+ {rank=same; MEM_ALIAS2; MEM_ALIAS3; MEM_MORE;}
+ MEM_ALIAS2 -> MEM_ALIAS3 -> MEM_MORE [style=invis];
+ MEM_TOP -> {MEM_ALIAS2 MEM_ALIAS3 MEM_MORE};
+ {MEM_ALIAS2 MEM_ALIAS3 MEM_MORE} -> MEM_BOT;
+ }
+
+ subgraph cluster_tuple {
+ label="Tuple\ncollection of types";
+ fontname="Arial"; color="#cccccc";
+ node [fillcolor="#ffc0cb"];
+ TUPLE_TOP [label="⊤:tuple"];
+ TUPLE_BOT [label="⊥:tuple"];
+ TUPLE1 [label="(type)", shape=box];
+ TUPLE2 [label="(type, type)", shape=box];
+ TUPLEN [label="(type, …)", shape=box];
+ {rank=same; TUPLE1; TUPLE2; TUPLEN;}
+ TUPLE1 -> TUPLE2 -> TUPLEN [style=invis];
+ TUPLE_TOP -> {TUPLE1 TUPLE2 TUPLEN};
+ {TUPLE1 TUPLE2 TUPLEN} -> TUPLE_BOT;
+ }
+
+ TOP -> {XCTRL INT_TOP PTR_TOP STRUCT_TOP MEM_TOP TUPLE_TOP};
+ {CTRL INT_BOT PTR_BOT STRUCT_BOT MEM_BOT TUPLE_BOT} -> BOT;
+ {rank=same; XCTRL; INT_TOP; PTR_TOP; STRUCT_TOP; MEM_TOP; TUPLE_TOP;}
+ {rank=same; CTRL; INT_BOT; PTR_BOT; STRUCT_BOT; MEM_BOT; TUPLE_BOT;}
+ XCTRL -> INT_TOP -> PTR_TOP -> STRUCT_TOP -> MEM_TOP -> TUPLE_TOP [style=invis];
}
diff --git a/chapter10b/docs/lattice.svg b/chapter10b/docs/lattice.svg
index 4023b68c..a11452b9 100644
--- a/chapter10b/docs/lattice.svg
+++ b/chapter10b/docs/lattice.svg
@@ -4,513 +4,617 @@
<!-- Generated by graphviz version 12.2.0 (20241103.1931)
-->
<!-- Title: Lattice Pages: 1 -->
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- 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)">
+<svg width="1827pt" height="533pt"
+ viewBox="0.00 0.00 1827.00 533.45" 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(4 529.45)">
<title>Lattice</title>
-<polygon fill="white" stroke="none" points="-4,4 -4,-436.5 1303.51,-436.5 1303.51,4 -4,4"/>
+<polygon fill="white" stroke="none" points="-4,4 -4,-529.45 1823,-529.45 1823,4 -4,4"/>
+<g id="clust1" class="cluster">
+<title>cluster_control</title>
+<polygon fill="none" stroke="#cccccc" points="8,-85.99 8,-454.71 98,-454.71 98,-85.99 8,-85.99"/>
+<text text-anchor="middle" x="53" y="-437.41" font-family="Arial" font-size="14.00">Control</text>
+</g>
+<g id="clust2" class="cluster">
+<title>cluster_integer</title>
+<polygon fill="none" stroke="#cccccc" points="106,-85.99 106,-454.71 404,-454.71 404,-85.99 106,-85.99"/>
+<text text-anchor="middle" x="255" y="-437.41" font-family="Arial" font-size="14.00">Integer</text>
+</g>
+<g id="clust6" class="cluster">
+<title>cluster_pointer</title>
+<polygon fill="none" stroke="#cccccc" points="412,-75 412,-465.7 893,-465.7 893,-75 412,-75"/>
+<text text-anchor="middle" x="652.5" y="-448.4" font-family="Arial" font-size="14.00">Pointer = nullability × struct type</text>
+</g>
+<g id="clust13" class="cluster">
+<title>cluster_struct</title>
+<polygon fill="none" stroke="#cccccc" points="901,-75 901,-481.45 1237,-481.45 1237,-75 901,-75"/>
+<text text-anchor="middle" x="1069" y="-464.15" font-family="Arial" font-size="14.00">Struct</text>
+<text text-anchor="middle" x="1069" y="-448.4" font-family="Arial" font-size="14.00">named collection of named scalar types</text>
+</g>
+<g id="clust17" class="cluster">
+<title>cluster_memory</title>
+<polygon fill="none" stroke="#cccccc" points="1245,-85.99 1245,-470.46 1527,-470.46 1527,-85.99 1245,-85.99"/>
+<text text-anchor="middle" x="1386" y="-453.16" font-family="Arial" font-size="14.00">Memory</text>
+<text text-anchor="middle" x="1386" y="-437.41" font-family="Arial" font-size="14.00">precise alias slices</text>
+</g>
+<g id="clust21" class="cluster">
+<title>cluster_tuple</title>
+<polygon fill="none" stroke="#cccccc" points="1535,-85.99 1535,-470.46 1811,-470.46 1811,-85.99 1535,-85.99"/>
+<text text-anchor="middle" x="1673" y="-453.16" font-family="Arial" font-size="14.00">Tuple</text>
+<text text-anchor="middle" x="1673" y="-437.41" font-family="Arial" font-size="14.00">collection of types</text>
+</g>
<!-- TOP -->
<g id="node1" class="node">
<title>TOP</title>
-<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>
+<ellipse fill="black" stroke="black" cx="887" cy="-507.45" rx="27" ry="18"/>
+<text text-anchor="middle" x="887" y="-503.35" font-family="DejaVu Sans" font-size="13.00" 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>
+<ellipse fill="#ffff00" stroke="black" cx="53" cy="-404.96" rx="36.51" ry="18"/>
+<text text-anchor="middle" x="53" y="-400.86" font-family="DejaVu Sans" font-size="13.00">⊤:ctrl</text>
</g>
<!-- TOP&#45;&gt;XCTRL -->
-<g id="edge1" class="edge">
+<g id="edge60" class="edge">
<title>TOP&#45;&gt;XCTRL</title>
-<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"/>
+<path fill="none" stroke="#555555" d="M859.92,-506.29C725.56,-505.4 135.66,-500.43 102,-481.45 82.17,-470.27 69.05,-447.37 61.41,-429.71"/>
+<polygon fill="#555555" stroke="#555555" points="63.45,-429.15 59.23,-424.39 59.57,-430.74 63.45,-429.15"/>
</g>
<!-- INT_TOP -->
<g id="node5" class="node">
<title>INT_TOP</title>
-<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>
+<ellipse fill="#add8e6" stroke="black" cx="353" cy="-404.96" rx="33.44" ry="18"/>
+<text text-anchor="middle" x="353" y="-400.86" font-family="DejaVu Sans" font-size="13.00">⊤:int</text>
</g>
<!-- TOP&#45;&gt;INT_TOP -->
-<g id="edge4" class="edge">
+<g id="edge61" class="edge">
<title>TOP&#45;&gt;INT_TOP</title>
-<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"/>
+<path fill="none" stroke="#555555" d="M859.8,-506.38C764.27,-505.97 447.72,-502.97 408,-481.45 387.23,-470.19 372.29,-447.31 363.27,-429.67"/>
+<polygon fill="#555555" stroke="#555555" points="365.18,-428.79 360.66,-424.32 361.41,-430.63 365.18,-428.79"/>
</g>
-<!-- PTR -->
+<!-- PTR_TOP -->
<g id="node10" class="node">
-<title>PTR</title>
-<polygon fill="none" stroke="none" points="387.51,-354.25 333.51,-354.25 333.51,-301.25 387.51,-301.25 387.51,-354.25"/>
-<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"/>
-<polygon fill="none" stroke="black" points="342.51,-327.75 342.51,-350.25 378.51,-350.25 378.51,-327.75 342.51,-327.75"/>
-<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>
-</g>
-<!-- TOP&#45;&gt;PTR -->
-<g id="edge14" class="edge">
-<title>TOP&#45;&gt;PTR</title>
-<path fill="none" stroke="black" d="M461.35,-398.5C444.42,-386.79 418.03,-368.54 396.49,-353.64"/>
-<polygon fill="black" stroke="black" points="398.75,-350.95 388.54,-348.14 394.77,-356.7 398.75,-350.95"/>
+<title>PTR_TOP</title>
+<ellipse fill="#008000" stroke="black" cx="715" cy="-404.96" rx="61.7" ry="28.99"/>
+<text text-anchor="middle" x="715" y="-409.11" font-family="DejaVu Sans" font-size="13.00" fill="white">⊤:ptr</text>
+<text text-anchor="middle" x="715" y="-392.61" font-family="DejaVu Sans" font-size="13.00" fill="white">[*⊤:struct]</text>
+</g>
+<!-- TOP&#45;&gt;PTR_TOP -->
+<g id="edge62" class="edge">
+<title>TOP&#45;&gt;PTR_TOP</title>
+<path fill="none" stroke="#555555" d="M867.27,-494.92C841.1,-479.63 794.17,-452.21 759.3,-431.84"/>
+<polygon fill="#555555" stroke="#555555" points="760.48,-430.1 754.24,-428.88 758.36,-433.72 760.48,-430.1"/>
</g>
<!-- STRUCT_TOP -->
-<g id="node12" class="node">
+<g id="node20" class="node">
<title>STRUCT_TOP</title>
-<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>
+<ellipse fill="#90ee90" stroke="black" cx="1020" cy="-404.96" rx="64.35" ry="28.99"/>
+<text text-anchor="middle" x="1020" y="-409.11" font-family="DejaVu Sans" font-size="13.00">⊤:struct</text>
+<text text-anchor="middle" x="1020" y="-392.61" font-family="DejaVu Sans" font-size="13.00">[struct top]</text>
</g>
<!-- TOP&#45;&gt;STRUCT_TOP -->
-<g id="edge17" class="edge">
+<g id="edge63" class="edge">
<title>TOP&#45;&gt;STRUCT_TOP</title>
-<path fill="none" stroke="black" d="M486.86,-391.44C491.45,-381.02 497.24,-367.9 502.33,-356.35"/>
-<polygon fill="black" stroke="black" points="505.5,-357.86 506.33,-347.29 499.09,-355.03 505.5,-357.86"/>
+<path fill="none" stroke="#555555" d="M904.39,-493.31C923.88,-478.58 956.09,-454.25 981.56,-435"/>
+<polygon fill="#555555" stroke="#555555" points="982.82,-436.68 986.34,-431.39 980.29,-433.33 982.82,-436.68"/>
</g>
<!-- MEM_TOP -->
-<g id="node17" class="node">
+<g id="node26" class="node">
<title>MEM_TOP</title>
-<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>
+<ellipse fill="#00008b" stroke="black" cx="1351" cy="-404.96" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1351" y="-400.86" font-family="DejaVu Sans" font-size="13.00" fill="white">⊤:mem</text>
</g>
<!-- TOP&#45;&gt;MEM_TOP -->
-<g id="edge27" class="edge">
+<g id="edge64" class="edge">
<title>TOP&#45;&gt;MEM_TOP</title>
-<path fill="none" stroke="black" d="M499.2,-405.87C556.98,-393.29 721.22,-357.54 804.21,-339.48"/>
-<polygon fill="black" stroke="black" points="804.86,-342.92 813.89,-337.37 803.37,-336.08 804.86,-342.92"/>
+<path fill="none" stroke="#555555" d="M914.33,-506.36C986.5,-505.84 1180.8,-502.47 1241,-481.45 1274.58,-469.72 1307.45,-444.9 1328.39,-426.91"/>
+<polygon fill="#555555" stroke="#555555" points="1329.69,-428.56 1332.83,-423.03 1326.93,-425.4 1329.69,-428.56"/>
</g>
<!-- TUPLE_TOP -->
-<g id="node22" class="node">
+<g id="node31" class="node">
<title>TUPLE_TOP</title>
-<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>
+<ellipse fill="#ffc0cb" stroke="black" cx="1588" cy="-404.96" rx="44.7" ry="18"/>
+<text text-anchor="middle" x="1588" y="-400.86" font-family="DejaVu Sans" font-size="13.00">⊤:tuple</text>
</g>
<!-- TOP&#45;&gt;TUPLE_TOP -->
-<g id="edge37" class="edge">
+<g id="edge65" class="edge">
<title>TOP&#45;&gt;TUPLE_TOP</title>
-<path fill="none" stroke="black" d="M499.7,-407.7C589.67,-396.37 941.49,-352.05 1074.87,-335.25"/>
-<polygon fill="black" stroke="black" points="1074.97,-338.77 1084.46,-334.05 1074.1,-331.82 1074.97,-338.77"/>
+<path fill="none" stroke="#555555" d="M914.36,-506.76C1030.08,-507.88 1475.84,-510.27 1531,-481.45 1552.39,-470.27 1568.01,-447.05 1577.43,-429.3"/>
+<polygon fill="#555555" stroke="#555555" points="1579.08,-430.68 1579.93,-424.38 1575.34,-428.78 1579.08,-430.68"/>
</g>
<!-- BOT -->
<g id="node2" class="node">
<title>BOT</title>
-<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>
+<ellipse fill="black" stroke="black" cx="884" cy="-18" rx="27" ry="18"/>
+<text text-anchor="middle" x="884" y="-13.9" font-family="DejaVu Sans" font-size="13.00" 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>
+<ellipse fill="#ffff00" stroke="black" cx="53" cy="-111.99" rx="36.51" ry="18"/>
+<text text-anchor="middle" x="53" y="-107.89" font-family="DejaVu Sans" font-size="13.00">⊥:ctrl</text>
</g>
<!-- XCTRL&#45;&gt;CTRL -->
-<g id="edge2" class="edge">
+<g id="edge1" 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"/>
+<path fill="none" stroke="#555555" d="M53,-386.63C53,-337.1 53,-194.83 53,-137.43"/>
+<polygon fill="#555555" stroke="#555555" points="55.1,-137.74 53,-131.74 50.9,-137.74 55.1,-137.74"/>
</g>
+<!-- XCTRL&#45;&gt;INT_TOP -->
<!-- CTRL&#45;&gt;BOT -->
-<g id="edge3" class="edge">
+<g id="edge66" class="edge">
<title>CTRL&#45;&gt;BOT</title>
-<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"/>
+<path fill="none" stroke="#555555" d="M69.29,-95.39C78.22,-87.83 89.91,-79.45 102,-75 242.26,-23.4 717.31,-19.12 849.57,-18.95"/>
+<polygon fill="#555555" stroke="#555555" points="849.19,-21.05 855.19,-18.94 849.18,-16.85 849.19,-21.05"/>
</g>
-<!-- INT_MINDOTS -->
+<!-- INT_NEG -->
<g id="node7" class="node">
-<title>INT_MINDOTS</title>
-<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>
+<title>INT_NEG</title>
+<ellipse fill="#add8e6" stroke="black" cx="169" cy="-310.97" rx="55.45" ry="18"/>
+<text text-anchor="middle" x="169" y="-306.87" font-family="DejaVu Sans" font-size="13.00">… −2, −1</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="M200.95,-312.66C174.03,-293.27 125.48,-258.29 95.24,-236.5"/>
-<polygon fill="black" stroke="black" points="97.5,-233.82 87.34,-230.81 93.41,-239.5 97.5,-233.82"/>
+<!-- INT_TOP&#45;&gt;INT_NEG -->
+<g id="edge4" class="edge">
+<title>INT_TOP&#45;&gt;INT_NEG</title>
+<path fill="none" stroke="#555555" d="M328.95,-391.93C297.31,-376.11 241.45,-348.19 204.83,-329.88"/>
+<polygon fill="#555555" stroke="#555555" points="205.88,-328.06 199.58,-327.25 204,-331.81 205.88,-328.06"/>
</g>
<!-- INT_ZERO -->
<g id="node8" class="node">
<title>INT_ZERO</title>
-<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>
+<ellipse fill="#add8e6" stroke="black" cx="267" cy="-310.97" rx="27" ry="18"/>
+<text text-anchor="middle" x="267" y="-306.87" font-family="DejaVu Sans" font-size="13.00">0</text>
</g>
<!-- INT_TOP&#45;&gt;INT_ZERO -->
-<g id="edge6" class="edge">
+<g id="edge5" class="edge">
<title>INT_TOP&#45;&gt;INT_ZERO</title>
-<path fill="none" stroke="black" d="M210.79,-310.12C200.2,-292 183.15,-262.82 170.98,-242.01"/>
-<polygon fill="black" stroke="black" points="174.12,-240.45 166.05,-233.58 168.08,-243.98 174.12,-240.45"/>
+<path fill="none" stroke="#555555" d="M338.41,-388.35C323.94,-372.88 301.71,-349.1 285.9,-332.18"/>
+<polygon fill="#555555" stroke="#555555" points="287.47,-330.79 281.84,-327.84 284.4,-333.66 287.47,-330.79"/>
</g>
-<!-- INT_MAXDOTS -->
+<!-- INT_POS -->
<g id="node9" class="node">
-<title>INT_MAXDOTS</title>
-<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>
+<title>INT_POS</title>
+<ellipse fill="#add8e6" stroke="black" cx="353" cy="-310.97" rx="43.16" ry="18"/>
+<text text-anchor="middle" x="353" y="-306.87" font-family="DejaVu Sans" font-size="13.00">1, 2, …</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="M224.26,-309.64C228.03,-292.44 233.9,-265.64 238.35,-245.33"/>
-<polygon fill="black" stroke="black" points="241.74,-246.23 240.46,-235.72 234.9,-244.73 241.74,-246.23"/>
+<!-- INT_TOP&#45;&gt;INT_POS -->
+<g id="edge6" class="edge">
+<title>INT_TOP&#45;&gt;INT_POS</title>
+<path fill="none" stroke="#555555" d="M353,-386.65C353,-372.52 353,-352.37 353,-336.56"/>
+<polygon fill="#555555" stroke="#555555" points="355.1,-336.7 353,-330.7 350.9,-336.7 355.1,-336.7"/>
</g>
+<!-- INT_TOP&#45;&gt;PTR_TOP -->
<!-- INT_BOT -->
<g id="node6" class="node">
<title>INT_BOT</title>
-<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>
-<text text-anchor="start" x="219.38" y="-100.7" font-family="Times New Roman,serif" font-size="14.00">:int</text>
+<ellipse fill="#add8e6" stroke="black" cx="289" cy="-111.99" rx="33.44" ry="18"/>
+<text text-anchor="middle" x="289" y="-107.89" font-family="DejaVu Sans" font-size="13.00">⊥:int</text>
</g>
<!-- INT_BOT&#45;&gt;BOT -->
-<g id="edge11" class="edge">
+<g id="edge67" class="edge">
<title>INT_BOT&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M248.01,-93.9C290.83,-78.57 373.15,-49.1 417.83,-33.11"/>
-<polygon fill="black" stroke="black" points="418.93,-36.43 427.17,-29.76 416.57,-29.84 418.93,-36.43"/>
+<path fill="none" stroke="#555555" d="M316.06,-101.31C339.95,-93.13 375.88,-81.69 408,-75 571.35,-40.97 770.86,-25.89 849.65,-20.95"/>
+<polygon fill="#555555" stroke="#555555" points="849.52,-23.07 855.38,-20.6 849.26,-18.87 849.52,-23.07"/>
</g>
-<!-- INT_MINDOTS&#45;&gt;INT_BOT -->
-<g id="edge8" class="edge">
-<title>INT_MINDOTS&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M86.24,-202.47C112.22,-183.76 160.89,-148.7 191.95,-126.33"/>
-<polygon fill="black" stroke="black" points="193.68,-129.39 199.75,-120.71 189.59,-123.71 193.68,-129.39"/>
+<!-- INT_NEG&#45;&gt;INT_BOT -->
+<g id="edge7" class="edge">
+<title>INT_NEG&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="#555555" d="M179.44,-292.83C201.14,-257.2 251.13,-175.15 275.35,-135.4"/>
+<polygon fill="#555555" stroke="#555555" points="276.89,-136.9 278.22,-130.68 273.31,-134.72 276.89,-136.9"/>
</g>
-<!-- INT_MINDOTS&#45;&gt;INT_ZERO -->
+<!-- INT_NEG&#45;&gt;INT_ZERO -->
<!-- INT_ZERO&#45;&gt;INT_BOT -->
-<g id="edge9" class="edge">
+<g id="edge8" class="edge">
<title>INT_ZERO&#45;&gt;INT_BOT</title>
-<path fill="none" stroke="black" d="M165.14,-200.48C175.34,-183.02 192.52,-153.64 205.04,-132.22"/>
-<polygon fill="black" stroke="black" points="207.97,-134.13 210,-123.73 201.93,-130.6 207.97,-134.13"/>
+<path fill="none" stroke="#555555" d="M268.91,-292.83C272.82,-257.83 281.73,-178.04 286.26,-137.55"/>
+<polygon fill="#555555" stroke="#555555" points="288.33,-137.93 286.91,-131.73 284.15,-137.46 288.33,-137.93"/>
+</g>
+<!-- INT_ZERO&#45;&gt;INT_POS -->
+<!-- INT_POS&#45;&gt;INT_BOT -->
+<g id="edge9" class="edge">
+<title>INT_POS&#45;&gt;INT_BOT</title>
+<path fill="none" stroke="#555555" d="M347.43,-292.83C336.04,-257.76 310.03,-177.71 296.9,-137.29"/>
+<polygon fill="#555555" stroke="#555555" points="298.92,-136.72 295.07,-131.67 294.92,-138.02 298.92,-136.72"/>
</g>
-<!-- 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>
-<path fill="none" stroke="black" d="M240.76,-198.14C237.01,-181.04 231.18,-154.46 226.74,-134.19"/>
-<polygon fill="black" stroke="black" points="230.2,-133.6 224.64,-124.58 223.36,-135.09 230.2,-133.6"/>
+<!-- PTR_NULL -->
+<g id="node12" class="node">
+<title>PTR_NULL</title>
+<ellipse fill="#008000" stroke="black" cx="799" cy="-310.97" rx="27.3" ry="18"/>
+<text text-anchor="middle" x="799" y="-306.87" font-family="DejaVu Sans" font-size="13.00" fill="white">null</text>
</g>
-<!-- PTR0 -->
-<g id="node11" class="node">
-<title>PTR0</title>
-<polygon fill="none" stroke="none" points="387.51,-131.25 333.51,-131.25 333.51,-78.25 387.51,-78.25 387.51,-131.25"/>
-<polygon fill="green" stroke="none" points="342.51,-104.75 342.51,-127.25 378.51,-127.25 378.51,-104.75 342.51,-104.75"/>
-<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>
-<polygon fill="lightgreen" stroke="none" points="342.51,-82.25 342.51,-104.75 378.51,-104.75 378.51,-82.25 342.51,-82.25"/>
-<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"/>
-<text text-anchor="start" x="345.51" y="-88.45" font-family="Times New Roman,serif" font-size="14.00">struct</text>
-</g>
-<!-- PTR&#45;&gt;PTR0 -->
-<g id="edge15" class="edge">
-<title>PTR&#45;&gt;PTR0</title>
-<path fill="none" stroke="black" d="M360.51,-301.29C360.51,-261.89 360.51,-187.62 360.51,-142.52"/>
-<polygon fill="black" stroke="black" points="364.01,-142.68 360.51,-132.68 357.01,-142.68 364.01,-142.68"/>
-</g>
-<!-- PTR0&#45;&gt;BOT -->
+<!-- PTR_TOP&#45;&gt;PTR_NULL -->
<g id="edge16" class="edge">
-<title>PTR0&#45;&gt;BOT</title>
-<path fill="none" stroke="black" d="M387.39,-78.81C399.39,-67.68 413.41,-54.68 424.99,-43.94"/>
-<polygon fill="black" stroke="black" points="427.24,-46.63 432.19,-37.26 422.48,-41.5 427.24,-46.63"/>
+<title>PTR_TOP&#45;&gt;PTR_NULL</title>
+<path fill="none" stroke="#555555" d="M738.85,-377.84C752,-363.43 768.1,-345.8 780.33,-332.41"/>
+<polygon fill="#555555" stroke="#555555" points="781.8,-333.91 784.3,-328.06 778.7,-331.08 781.8,-333.91"/>
</g>
-<!-- STRUCT_S1 -->
+<!-- PTR_PERSON -->
<g id="node14" class="node">
+<title>PTR_PERSON</title>
+<ellipse fill="#008000" stroke="black" cx="542" cy="-310.97" rx="45.72" ry="18"/>
+<text text-anchor="middle" x="542" y="-306.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*Person</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_PERSON -->
+<g id="edge17" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_PERSON</title>
+<path fill="none" stroke="#555555" d="M674.88,-382.62C644.57,-366.5 603.47,-344.65 575.04,-329.54"/>
+<polygon fill="#555555" stroke="#555555" points="576.08,-327.71 569.8,-326.75 574.11,-331.42 576.08,-327.71"/>
+</g>
+<!-- PTR_S1 -->
+<g id="node15" class="node">
+<title>PTR_S1</title>
+<ellipse fill="#008000" stroke="black" cx="631" cy="-310.97" rx="27" ry="18"/>
+<text text-anchor="middle" x="631" y="-306.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s1</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_S1 -->
+<g id="edge18" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_S1</title>
+<path fill="none" stroke="#555555" d="M691.15,-377.84C678,-363.43 661.9,-345.8 649.67,-332.41"/>
+<polygon fill="#555555" stroke="#555555" points="651.3,-331.08 645.7,-328.06 648.2,-333.91 651.3,-331.08"/>
+</g>
+<!-- PTR_MORE -->
+<g id="node16" class="node">
+<title>PTR_MORE</title>
+<ellipse fill="#008000" stroke="black" cx="715" cy="-310.97" rx="40.6" ry="18"/>
+<text text-anchor="middle" x="715" y="-306.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s2, …</text>
+</g>
+<!-- PTR_TOP&#45;&gt;PTR_MORE -->
+<g id="edge19" class="edge">
+<title>PTR_TOP&#45;&gt;PTR_MORE</title>
+<path fill="none" stroke="#555555" d="M715,-375.61C715,-363.22 715,-348.82 715,-336.86"/>
+<polygon fill="#555555" stroke="#555555" points="717.1,-336.91 715,-330.91 712.9,-336.91 717.1,-336.91"/>
+</g>
+<!-- PTR_TOP&#45;&gt;STRUCT_TOP -->
+<!-- PTR_BOT -->
+<g id="node11" class="node">
+<title>PTR_BOT</title>
+<ellipse fill="#008000" stroke="black" cx="748" cy="-111.99" rx="66.47" ry="28.99"/>
+<text text-anchor="middle" x="748" y="-116.14" font-family="DejaVu Sans" font-size="13.00" fill="white">⊥:ptr</text>
+<text text-anchor="middle" x="748" y="-99.64" font-family="DejaVu Sans" font-size="13.00" fill="white">[*⊥:struct?]</text>
+</g>
+<!-- PTR_BOT&#45;&gt;BOT -->
+<g id="edge68" class="edge">
+<title>PTR_BOT&#45;&gt;BOT</title>
+<path fill="none" stroke="#555555" d="M783.38,-87.06C807.3,-70.88 838.29,-49.92 859.52,-35.56"/>
+<polygon fill="#555555" stroke="#555555" points="860.46,-37.46 864.25,-32.36 858.1,-33.98 860.46,-37.46"/>
+</g>
+<!-- PTR_PERSON_NIL -->
+<g id="node17" class="node">
+<title>PTR_PERSON_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="651" cy="-216.97" rx="50.33" ry="18"/>
+<text text-anchor="middle" x="651" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*Person?</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_PERSON_NIL -->
+<g id="edge26" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_PERSON_NIL</title>
+<path fill="none" stroke="#555555" d="M779.65,-297.94C754.63,-282.39 710.79,-255.14 681.32,-236.82"/>
+<polygon fill="#555555" stroke="#555555" points="682.76,-235.24 676.55,-233.86 680.54,-238.81 682.76,-235.24"/>
+</g>
+<!-- PTR_S1_NIL -->
+<g id="node18" class="node">
+<title>PTR_S1_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="748" cy="-216.97" rx="30.37" ry="18"/>
+<text text-anchor="middle" x="748" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s1?</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_S1_NIL -->
+<g id="edge27" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_S1_NIL</title>
+<path fill="none" stroke="#555555" d="M789.88,-293.52C781.74,-278.83 769.73,-257.16 760.65,-240.8"/>
+<polygon fill="#555555" stroke="#555555" points="762.69,-240.14 757.94,-235.91 759.02,-242.18 762.69,-240.14"/>
+</g>
+<!-- PTR_MORE_NIL -->
+<g id="node19" class="node">
+<title>PTR_MORE_NIL</title>
+<ellipse fill="#008000" stroke="black" cx="840" cy="-216.97" rx="45.21" ry="18"/>
+<text text-anchor="middle" x="840" y="-212.87" font-family="DejaVu Sans" font-size="13.00" fill="white">*s2?, …</text>
+</g>
+<!-- PTR_NULL&#45;&gt;PTR_MORE_NIL -->
+<g id="edge28" class="edge">
+<title>PTR_NULL&#45;&gt;PTR_MORE_NIL</title>
+<path fill="none" stroke="#555555" d="M806.33,-293.52C812.78,-279.05 822.24,-257.81 829.5,-241.54"/>
+<polygon fill="#555555" stroke="#555555" points="831.32,-242.62 831.84,-236.28 827.48,-240.91 831.32,-242.62"/>
+</g>
+<!-- PTR_ANY -->
+<g id="node13" class="node">
+<title>PTR_ANY</title>
+<ellipse fill="#008000" stroke="black" cx="502" cy="-216.97" rx="82.38" ry="28.99"/>
+<text text-anchor="middle" x="502" y="-221.12" font-family="DejaVu Sans" font-size="13.00" fill="white">*⊥:struct</text>
+<text text-anchor="middle" x="502" y="-204.62" font-family="DejaVu Sans" font-size="13.00" fill="white">[ptr any struct]</text>
+</g>
+<!-- PTR_ANY&#45;&gt;PTR_BOT -->
+<g id="edge29" class="edge">
+<title>PTR_ANY&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M554.17,-194.13C595.32,-176.91 652.51,-152.97 694.1,-135.56"/>
+<polygon fill="#555555" stroke="#555555" points="694.78,-137.55 699.5,-133.29 693.15,-133.67 694.78,-137.55"/>
+</g>
+<!-- PTR_ANY&#45;&gt;PTR_PERSON_NIL -->
+<!-- PTR_PERSON&#45;&gt;PTR_ANY -->
+<g id="edge20" class="edge">
+<title>PTR_PERSON&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M534.66,-293.09C529.74,-281.77 523.08,-266.45 517.05,-252.6"/>
+<polygon fill="#555555" stroke="#555555" points="519.08,-251.99 514.76,-247.33 515.23,-253.67 519.08,-251.99"/>
+</g>
+<!-- PTR_PERSON&#45;&gt;PTR_S1 -->
+<!-- PTR_PERSON&#45;&gt;PTR_PERSON_NIL -->
+<g id="edge23" class="edge">
+<title>PTR_PERSON&#45;&gt;PTR_PERSON_NIL</title>
+<path fill="none" stroke="#555555" d="M560.49,-294.36C578.62,-279.06 606.38,-255.63 626.38,-238.76"/>
+<polygon fill="#555555" stroke="#555555" points="627.67,-240.42 630.9,-234.94 624.96,-237.21 627.67,-240.42"/>
+</g>
+<!-- PTR_S1&#45;&gt;PTR_ANY -->
+<g id="edge21" class="edge">
+<title>PTR_S1&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M613.06,-297.17C595.19,-284.43 567.11,-264.41 543.66,-247.68"/>
+<polygon fill="#555555" stroke="#555555" points="545.14,-246.16 539.04,-244.39 542.7,-249.58 545.14,-246.16"/>
+</g>
+<!-- PTR_S1&#45;&gt;PTR_MORE -->
+<!-- PTR_S1&#45;&gt;PTR_S1_NIL -->
+<g id="edge24" class="edge">
+<title>PTR_S1&#45;&gt;PTR_S1_NIL</title>
+<path fill="none" stroke="#555555" d="M648.01,-296.59C668.14,-280.76 701.78,-254.32 724.41,-236.52"/>
+<polygon fill="#555555" stroke="#555555" points="725.59,-238.26 729.01,-232.91 722.99,-234.96 725.59,-238.26"/>
+</g>
+<!-- PTR_MORE&#45;&gt;PTR_NULL -->
+<!-- PTR_MORE&#45;&gt;PTR_ANY -->
+<g id="edge22" class="edge">
+<title>PTR_MORE&#45;&gt;PTR_ANY</title>
+<path fill="none" stroke="#555555" d="M686.72,-297.75C654.45,-283.81 600.84,-260.66 559.66,-242.88"/>
+<polygon fill="#555555" stroke="#555555" points="560.63,-241.01 554.29,-240.56 558.97,-244.86 560.63,-241.01"/>
+</g>
+<!-- PTR_MORE&#45;&gt;PTR_MORE_NIL -->
+<g id="edge25" class="edge">
+<title>PTR_MORE&#45;&gt;PTR_MORE_NIL</title>
+<path fill="none" stroke="#555555" d="M735.36,-294.98C756.57,-279.37 789.9,-254.84 813.23,-237.67"/>
+<polygon fill="#555555" stroke="#555555" points="814.42,-239.4 818.01,-234.16 811.93,-236.02 814.42,-239.4"/>
+</g>
+<!-- PTR_PERSON_NIL&#45;&gt;PTR_BOT -->
+<g id="edge30" class="edge">
+<title>PTR_PERSON_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M666.58,-199.43C680.58,-184.56 701.51,-162.35 718.65,-144.16"/>
+<polygon fill="#555555" stroke="#555555" points="719.75,-146.05 722.33,-140.24 716.69,-143.17 719.75,-146.05"/>
+</g>
+<!-- PTR_PERSON_NIL&#45;&gt;PTR_S1_NIL -->
+<!-- PTR_S1_NIL&#45;&gt;PTR_BOT -->
+<g id="edge31" class="edge">
+<title>PTR_S1_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M748,-198.5C748,-184.97 748,-165.76 748,-148.97"/>
+<polygon fill="#555555" stroke="#555555" points="750.1,-148.97 748,-142.97 745.9,-148.97 750.1,-148.97"/>
+</g>
+<!-- PTR_S1_NIL&#45;&gt;PTR_MORE_NIL -->
+<!-- PTR_MORE_NIL&#45;&gt;PTR_BOT -->
+<g id="edge32" class="edge">
+<title>PTR_MORE_NIL&#45;&gt;PTR_BOT</title>
+<path fill="none" stroke="#555555" d="M825.62,-199.88C812.53,-185.22 792.8,-163.14 776.51,-144.9"/>
+<polygon fill="#555555" stroke="#555555" points="778.14,-143.58 772.58,-140.51 775.01,-146.38 778.14,-143.58"/>
+</g>
+<!-- STRUCT_PERSON -->
+<g id="node22" class="node">
+<title>STRUCT_PERSON</title>
+<polygon fill="#90ee90" stroke="black" points="976.5,-237.47 909.5,-237.47 909.5,-196.47 976.5,-196.47 976.5,-237.47"/>
+<text text-anchor="middle" x="943" y="-221.12" font-family="DejaVu Sans" font-size="13.00">Person</text>
+<text text-anchor="middle" x="943" y="-204.62" font-family="DejaVu Sans" font-size="13.00">age: int</text>
+</g>
+<!-- STRUCT_TOP&#45;&gt;STRUCT_PERSON -->
+<g id="edge36" class="edge">
+<title>STRUCT_TOP&#45;&gt;STRUCT_PERSON</title>
+<path fill="none" stroke="#555555" d="M1008.47,-376.11C993.72,-340.49 968.36,-279.23 953.91,-244.33"/>
+<polygon fill="#555555" stroke="#555555" points="955.99,-243.86 951.75,-239.12 952.11,-245.47 955.99,-243.86"/>
+</g>
+<!-- STRUCT_S1 -->
+<g id="node23" class="node">
<title>STRUCT_S1</title>
-<polygon fill="none" stroke="none" points="487.38,-234.25 401.63,-234.25 401.63,-198.25 487.38,-198.25 487.38,-234.25"/>
-<polygon fill="lightgreen" stroke="none" points="409.63,-205 409.63,-227.5 440.38,-227.5 440.38,-205 409.63,-205"/>
-<polygon fill="none" stroke="black" points="409.63,-205 409.63,-227.5 440.38,-227.5 440.38,-205 409.63,-205"/>
-<text text-anchor="start" x="412.63" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">field</text>
-<defs>
-<linearGradient id="l_0" gradientUnits="userSpaceOnUse" x1="446.1" y1="-224.2" x2="473.67" y2="-208.29" >
-<stop offset="0" style="stop-color:lightblue;stop-opacity:1.;"/>
-<stop offset="1" style="stop-color:green;stop-opacity:1.;"/>
-</linearGradient>
-</defs>
-<polygon fill="url(#l_0)" stroke="none" points="440.38,-205 440.38,-227.5 479.38,-227.5 479.38,-205 440.38,-205"/>
-<polygon fill="none" stroke="black" points="440.38,-205 440.38,-227.5 479.38,-227.5 479.38,-205 440.38,-205"/>
-<text text-anchor="start" x="443.38" y="-211.2" font-family="Times New Roman,serif" font-size="14.00">int/ptr</text>
+<polygon fill="#90ee90" stroke="black" points="1047,-237.47 993,-237.47 993,-196.47 1047,-196.47 1047,-237.47"/>
+<text text-anchor="middle" x="1020" y="-221.12" font-family="DejaVu Sans" font-size="13.00">s1</text>
+<text text-anchor="middle" x="1020" y="-204.62" font-family="DejaVu Sans" font-size="13.00">x: int</text>
</g>
<!-- STRUCT_TOP&#45;&gt;STRUCT_S1 -->
-<g id="edge18" class="edge">
+<g id="edge37" class="edge">
<title>STRUCT_TOP&#45;&gt;STRUCT_S1</title>
-<path fill="none" stroke="black" d="M503.88,-310.12C492.57,-292.43 474.53,-264.21 461.3,-243.51"/>
-<polygon fill="black" stroke="black" points="464.39,-241.85 456.06,-235.31 458.49,-245.62 464.39,-241.85"/>
+<path fill="none" stroke="#555555" d="M1020,-375.71C1020,-340.38 1020,-280.29 1020,-245.36"/>
+<polygon fill="#555555" stroke="#555555" points="1022.1,-245.4 1020,-239.4 1017.9,-245.4 1022.1,-245.4"/>
</g>
<!-- STRUCT_S2 -->
-<g id="node15" class="node">
+<g id="node24" class="node">
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+<title>STRUCT_TOP&#45;&gt;STRUCT_MORE</title>
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+<g id="edge40" class="edge">
+<title>STRUCT_PERSON&#45;&gt;STRUCT_BOT</title>
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+<!-- STRUCT_PERSON&#45;&gt;STRUCT_S1 -->
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+<!-- STRUCT_S2&#45;&gt;STRUCT_MORE -->
+<!-- STRUCT_MORE&#45;&gt;STRUCT_BOT -->
+<g id="edge43" class="edge">
+<title>STRUCT_MORE&#45;&gt;STRUCT_BOT</title>
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+<!-- MEM_TOP&#45;&gt;MEM_ALIAS2 -->
+<g id="edge46" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_ALIAS2</title>
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+<!-- MEM_TOP&#45;&gt;MEM_ALIAS3 -->
+<g id="edge47" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_ALIAS3</title>
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+<!-- MEM_TOP&#45;&gt;MEM_MORE -->
+<g id="edge48" class="edge">
+<title>MEM_TOP&#45;&gt;MEM_MORE</title>
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+<!-- MEM_ALIAS2&#45;&gt;MEM_BOT -->
+<g id="edge49" class="edge">
+<title>MEM_ALIAS2&#45;&gt;MEM_BOT</title>
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+<!-- MEM_ALIAS3&#45;&gt;MEM_BOT -->
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