garage/doc/talks/2024-02-03-fosdem/assets/latticeB_4.svg

588 lines
21 KiB
XML
Raw Normal View History

2024-01-22 17:52:14 +00:00
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_4.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="505.32622"
inkscape:cy="316.72869"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
</g>
</svg>