Different lattice figures
|
@ -12,10 +12,16 @@ ASSETS=assets/consistent_hashing_1.pdf \
|
|||
assets/lattice6.pdf_tex \
|
||||
assets/lattice7.pdf_tex \
|
||||
assets/lattice8.pdf_tex \
|
||||
assets/lattice9.pdf_tex \
|
||||
assets/latticeA.pdf_tex \
|
||||
assets/latticeB.pdf_tex \
|
||||
assets/latticeC.pdf_tex \
|
||||
assets/latticeB_1.pdf_tex \
|
||||
assets/latticeB_2.pdf_tex \
|
||||
assets/latticeB_3.pdf_tex \
|
||||
assets/latticeB_4.pdf_tex \
|
||||
assets/latticeB_5.pdf_tex \
|
||||
assets/latticeB_6.pdf_tex \
|
||||
assets/latticeB_7.pdf_tex \
|
||||
assets/latticeB_8.pdf_tex \
|
||||
assets/latticeB_9.pdf_tex \
|
||||
assets/latticeB_10.pdf_tex \
|
||||
assets/deuxfleurs.pdf
|
||||
|
||||
talk.pdf: talk.tex $(ASSETS)
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||||
|
|
|
@ -25,8 +25,8 @@
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@ -433,8 +433,8 @@
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@ -477,6 +477,17 @@
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@ -501,15 +512,32 @@
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@ -521,67 +549,33 @@
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style="fill: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)"
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d="M 212.4544,34.227412 177.46016,17.288645"
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id="path1300-2-6-9-0" />
|
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<path
|
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style="fill: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)"
|
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d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
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id="path1300-2-2"
|
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
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d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
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id="path1300-2-2-9"
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
|
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d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
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id="path1300-2-2-6"
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
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d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
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id="path1300-2-2-6-9"
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sodipodi:nodetypes="cc" />
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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id="path3663"
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cx="147.35568"
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cy="95.24971"
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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id="path3663-3"
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cx="176.97627"
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cy="68.155472"
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r="2.7302806" />
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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id="path3663-1"
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cx="18.004833"
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cy="39.402473"
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r="2.7302806" />
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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id="path3663-3-0"
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cx="18.004833"
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cy="30.371933"
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r="2.7302806" />
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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id="path3663-6-6"
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cx="18.004833"
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cy="21.341394"
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r="2.7302806" />
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<text
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705"
|
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style="fill:#000000;stroke-width:0.264583"
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x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="24.042637"
|
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id="text3750"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="33.02087"
|
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id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3748-2"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
|
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<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"
|
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y="41.972523"
|
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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>
|
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<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1-4"
|
||||
cx="18.004833"
|
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cy="90.979645"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0-5"
|
||||
cx="18.004833"
|
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cy="81.949104"
|
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r="2.7302806" />
|
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<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6-6-2"
|
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cx="18.004833"
|
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cy="72.918564"
|
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r="2.7302806" />
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
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y="65.279381"
|
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id="text3707-5"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705-4"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="65.279381">$write(\{b\})$:</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="59.340172"
|
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y="118.94403"
|
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id="text3707-5-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705-4-6"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="59.340172"
|
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y="118.94403">$read()$:</tspan></text>
|
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<text
|
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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"
|
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y="75.619804"
|
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id="text3750-7"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-4"
|
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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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"
|
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id="text3750-3-4"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3748-2-3"
|
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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"
|
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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>
|
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<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6"
|
||||
cx="118.63729"
|
||||
cy="67.630196"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6-0"
|
||||
cx="67.201363"
|
||||
cy="124.91125"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
||||
y="127.6125"
|
||||
id="text3750-9"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-3"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
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y="127.6125">$\to \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="62.764446"
|
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y="146.3129"
|
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id="text4280-6"><tspan
|
||||
sodipodi:role="line"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="62.764446"
|
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y="146.3129"
|
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id="tspan2630">return $\{a\}$</tspan></text>
|
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<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0-7"
|
||||
cx="67.201363"
|
||||
cy="133.94179"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
||||
y="136.59073"
|
||||
id="text3750-3-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2-0"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
||||
y="136.59073">$\to \{\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6-0-6"
|
||||
cx="174.36296"
|
||||
cy="124.91125"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
||||
y="127.6125"
|
||||
id="text3750-9-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-3-8"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
||||
y="127.6125">$\to \{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="162.7999"
|
||||
y="118.94403"
|
||||
id="text3707-5-3-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-4-6-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="162.7999"
|
||||
y="118.94403">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
|
||||
x="134.97845"
|
||||
y="132.58472"
|
||||
id="text3899"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3897"
|
||||
style="stroke-width:0.264583"
|
||||
x="134.97845"
|
||||
y="132.58472">;</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="169.92604"
|
||||
y="146.3129"
|
||||
id="text4280-6-7"><tspan
|
||||
sodipodi:role="line"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="169.92604"
|
||||
y="146.3129"
|
||||
id="tspan2630-9">return $\{b\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0-7-2"
|
||||
cx="174.36296"
|
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cy="133.94179"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
||||
y="136.59073"
|
||||
id="text3750-3-6-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2-0-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
||||
y="136.59073">$\to \{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583"
|
||||
x="259.75"
|
||||
y="135.53111"
|
||||
id="text9043"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan9041"
|
||||
style="fill:#ff0000;stroke-width:0.264583"
|
||||
x="259.75"
|
||||
y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan
|
||||
sodipodi:role="line"
|
||||
style="fill:#ff0000;stroke-width:0.264583"
|
||||
x="259.75"
|
||||
y="146.11446"
|
||||
id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text>
|
||||
</g>
|
||||
</svg>
|
After Width: | Height: | Size: 25 KiB |
|
@ -3,12 +3,12 @@
|
|||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
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="latticeC.svg"
|
||||
sodipodi:docname="latticeB_2.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
|
@ -25,8 +25,8 @@
|
|||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="450.97602"
|
||||
inkscape:cy="272.14655"
|
||||
inkscape:cx="586.70996"
|
||||
inkscape:cy="321.01077"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
|
@ -270,10 +270,10 @@
|
|||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
width="262.58151"
|
||||
height="156.82782"
|
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x="0.77790999"
|
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y="0.93738818" />
|
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</g>
|
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|
@ -283,24 +283,24 @@
|
|||
inkscape:label="Layer 2">
|
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<text
|
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xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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y="99.307442"
|
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id="text951"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
|
@ -308,35 +308,35 @@
|
|||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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y="67.008698"
|
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id="text1009"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan1007"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
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;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="112.90984"
|
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y="67.017166"
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id="text1009-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-6"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
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;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="176.20593"
|
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y="67.008698"
|
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id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
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</g>
|
||||
|
@ -346,35 +346,35 @@
|
|||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="112.90984"
|
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y="40.841526"
|
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id="text1117"><tspan
|
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sodipodi:role="line"
|
||||
id="tspan1115"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
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;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="49.27084"
|
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y="40.841526"
|
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id="text1117-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-5"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
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;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="176.20593"
|
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y="40.841526"
|
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id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
|
@ -433,20 +433,20 @@
|
|||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="117.08417"
|
||||
cy="38.792969"
|
||||
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="123.57843"
|
||||
cy="39.100433"
|
||||
cx="141.05479"
|
||||
cy="95.316383"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="130.27556"
|
||||
cy="39.441635"
|
||||
cx="118.63729"
|
||||
cy="67.630196"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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|
@ -468,13 +468,13 @@
|
|||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
|
@ -490,48 +490,26 @@
|
|||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="33.02087"
|
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id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
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:#000000;stroke-width:0.264583"
|
||||
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:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
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y="52.022549"
|
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id="text4280"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
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y="102.48464"
|
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id="text4280-8"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan4278-8"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="102.48464">return OK</tspan></text>
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1-4"
|
||||
|
@ -563,36 +541,36 @@
|
|||
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"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="75.619804"
|
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id="text3750-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-4"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="75.619804">$\sqsupseteq \{b\}$</tspan></text>
|
||||
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="84.598038"
|
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id="text3750-3-4"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3748-2-3"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
||||
y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="93.54969"
|
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id="text3750-0-0"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-6-7"
|
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style="fill:#000000;stroke-width:0.264583"
|
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style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
||||
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
</g>
|
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</svg>
|
Before Width: | Height: | Size: 21 KiB After Width: | Height: | Size: 20 KiB |
|
@ -3,12 +3,12 @@
|
|||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
height="600"
|
||||
viewBox="0 0 264.58333 158.75"
|
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version="1.1"
|
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id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="latticeA.svg"
|
||||
sodipodi:docname="latticeB_3.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
|
@ -24,9 +24,9 @@
|
|||
inkscape:deskcolor="#d1d1d1"
|
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inkscape:document-units="mm"
|
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showgrid="false"
|
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inkscape:zoom="1.4734708"
|
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inkscape:cx="450.97602"
|
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inkscape:cy="272.14655"
|
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inkscape:zoom="2.0838024"
|
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inkscape:cx="465.25525"
|
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inkscape:cy="269.21938"
|
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inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
|
@ -270,10 +270,10 @@
|
|||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
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style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
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style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
|
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id="rect288"
|
||||
width="209.84705"
|
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height="104.42732"
|
||||
width="262.58151"
|
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height="156.82782"
|
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x="0.77790999"
|
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y="0.93738818" />
|
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</g>
|
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|
@ -283,24 +283,24 @@
|
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inkscape:label="Layer 2">
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="164.56372"
|
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y="99.307442"
|
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id="text951"><tspan
|
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sodipodi:role="line"
|
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id="tspan949"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="164.56372"
|
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y="13.151893">$\{a,b,c\}$</tspan></text>
|
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<g
|
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|
@ -308,35 +308,35 @@
|
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transform="translate(51.996784,3.5774043)">
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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y="67.008698"
|
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id="text1009"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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y="67.017166"
|
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id="text1009-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-6"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
x="112.90984"
|
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y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="176.20593"
|
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y="67.008698"
|
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id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="176.20593"
|
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y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
|
@ -346,35 +346,35 @@
|
|||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="112.90984"
|
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id="text1117"><tspan
|
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sodipodi:role="line"
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id="tspan1115"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="112.90984"
|
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y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="49.27084"
|
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y="40.841526"
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id="text1117-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-5"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
|
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y="40.841526">$\{a,b\}$</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="176.20593"
|
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y="40.841526"
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id="text1117-6"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-2"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="176.20593"
|
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y="40.841526">$\{b,c\}$</tspan></text>
|
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</g>
|
||||
|
@ -433,20 +433,14 @@
|
|||
<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663"
|
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cx="117.08417"
|
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cy="38.792969"
|
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cx="147.35568"
|
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cy="95.24971"
|
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r="2.7302806" />
|
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<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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|
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cx="126.08154"
|
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cy="67.968384"
|
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r="2.7302806" />
|
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<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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|
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cx="119.58919"
|
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cy="67.645035"
|
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cx="176.97627"
|
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cy="68.155472"
|
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r="2.7302806" />
|
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<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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|
@ -468,13 +462,13 @@
|
|||
r="2.7302806" />
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
|
@ -490,37 +484,26 @@
|
|||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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|
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id="text3750-3"><tspan
|
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sodipodi:role="line"
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|
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|
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style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
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:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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|
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id="text3750-0"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-6"
|
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style="fill:#000000;stroke-width:0.264583"
|
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style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="14.395845"
|
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y="52.022549"
|
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id="text4280"><tspan
|
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sodipodi:role="line"
|
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id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="14.395845"
|
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y="52.022549">return OK</tspan></text>
|
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y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1-4"
|
||||
|
@ -563,25 +546,31 @@
|
|||
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
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x="23.457415"
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id="text3750-3-4"><tspan
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sodipodi:role="line"
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id="tspan3748-2-3"
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style="fill:#999999;stroke-width:0.264583"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
|
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y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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id="text3750-0-0"><tspan
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sodipodi:role="line"
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
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y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
|
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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cx="118.63729"
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|
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r="2.7302806" />
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|
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</svg>
|
Before Width: | Height: | Size: 21 KiB After Width: | Height: | Size: 20 KiB |
|
@ -3,12 +3,12 @@
|
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|
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<svg
|
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width="1000"
|
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height="400"
|
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viewBox="0 0 264.58333 105.83333"
|
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height="600"
|
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viewBox="0 0 264.58333 158.75"
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id="svg5"
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inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
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sodipodi:docname="lattice9.svg"
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sodipodi:docname="latticeB_4.svg"
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xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
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xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
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xmlns="http://www.w3.org/2000/svg"
|
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|
@ -24,9 +24,9 @@
|
|||
inkscape:deskcolor="#d1d1d1"
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inkscape:document-units="mm"
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showgrid="false"
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inkscape:zoom="1.4734708"
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inkscape:cx="451.65469"
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inkscape:cy="272.14655"
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inkscape:zoom="1.0419012"
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inkscape:cx="505.32622"
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inkscape:cy="316.72869"
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inkscape:window-width="1920"
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inkscape:window-height="999"
|
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inkscape:window-x="0"
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|
@ -270,10 +270,10 @@
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id="layer1"
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sodipodi:insensitive="true">
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<rect
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id="rect288"
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width="209.84705"
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|
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width="262.58151"
|
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|
@ -283,24 +283,24 @@
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<text
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xml:space="preserve"
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|
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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"
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sodipodi:role="line"
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id="tspan949"
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
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x="164.56372"
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<text
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
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id="text1005"><tspan
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sodipodi:role="line"
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
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x="164.56372"
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@ -308,35 +308,35 @@
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<text
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
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id="text1009"><tspan
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sodipodi:role="line"
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style="stroke-width:0.264583;fill:#000000"
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
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y="67.008698">$\{a\}$</tspan></text>
|
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<text
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
|
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id="text1009-3"><tspan
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sodipodi:role="line"
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id="tspan1007-6"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="112.90984"
|
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y="67.017166">$\{b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
|
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x="176.20593"
|
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y="67.008698"
|
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id="text1009-7"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-5"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="176.20593"
|
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y="67.008698">$\{c\}$</tspan></text>
|
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</g>
|
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|
@ -346,35 +346,35 @@
|
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style="fill:#000000">
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
|
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|
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id="text1117"><tspan
|
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sodipodi:role="line"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="112.90984"
|
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y="40.841526">$\{a,c\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
|
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|
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id="text1117-3"><tspan
|
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sodipodi:role="line"
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|
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
|
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y="40.841526">$\{a,b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
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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"
|
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x="176.20593"
|
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y="40.841526"
|
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id="text1117-6"><tspan
|
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sodipodi:role="line"
|
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|
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|
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style="fill:#000000;stroke-width:0.264583"
|
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x="176.20593"
|
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y="40.841526">$\{b,c\}$</tspan></text>
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</g>
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|
@ -433,20 +433,14 @@
|
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<circle
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cx="177.03145"
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|
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cy="95.24971"
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|
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
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cx="126.08154"
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cy="67.968384"
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<circle
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cx="119.58919"
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cy="67.645035"
|
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cx="176.97627"
|
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cy="68.155472"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
|
@ -468,13 +462,13 @@
|
|||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3705"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
|
@ -490,15 +484,15 @@
|
|||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="33.02087"
|
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id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
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"
|
||||
|
@ -510,17 +504,6 @@
|
|||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
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y="52.022549"
|
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id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1-4"
|
||||
|
@ -550,6 +533,17 @@
|
|||
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"
|
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y="118.94403"
|
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id="text3707-5-3"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3705-4-6"
|
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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"
|
||||
|
@ -563,25 +557,31 @@
|
|||
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="84.598038"
|
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id="text3750-3-4"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-2-3"
|
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style="fill:#999999;stroke-width:0.264583"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
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:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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id="text3750-0-0"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-6-7"
|
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style="fill:#000000;stroke-width:0.264583"
|
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style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
||||
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6"
|
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cx="118.63729"
|
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cy="67.630196"
|
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r="2.7302806" />
|
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</g>
|
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</svg>
|
Before Width: | Height: | Size: 21 KiB After Width: | Height: | Size: 21 KiB |
|
@ -3,12 +3,12 @@
|
|||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
height="600"
|
||||
viewBox="0 0 264.58333 158.75"
|
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version="1.1"
|
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id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="latticeB.svg"
|
||||
sodipodi:docname="latticeB_5.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
|
@ -25,8 +25,8 @@
|
|||
inkscape:document-units="mm"
|
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showgrid="false"
|
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inkscape:zoom="1.4734708"
|
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inkscape:cx="450.97602"
|
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inkscape:cy="272.14655"
|
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inkscape:cx="408.21983"
|
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inkscape:cy="319.65343"
|
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inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
|
@ -270,10 +270,10 @@
|
|||
id="layer1"
|
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sodipodi:insensitive="true">
|
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<rect
|
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style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
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style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
|
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id="rect288"
|
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width="209.84705"
|
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height="104.42732"
|
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width="262.58151"
|
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height="156.82782"
|
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x="0.77790999"
|
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y="0.93738818" />
|
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</g>
|
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|
@ -283,24 +283,24 @@
|
|||
inkscape:label="Layer 2">
|
||||
<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="164.56372"
|
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y="99.307442"
|
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id="text951"><tspan
|
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sodipodi:role="line"
|
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id="tspan949"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="164.56372"
|
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y="99.307442">$\{\}$</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="164.56372"
|
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y="13.151893"
|
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id="text1005"><tspan
|
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sodipodi:role="line"
|
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id="tspan1003"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="164.56372"
|
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y="13.151893">$\{a,b,c\}$</tspan></text>
|
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<g
|
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|
@ -308,35 +308,35 @@
|
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transform="translate(51.996784,3.5774043)">
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="49.27084"
|
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y="67.008698"
|
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id="text1009"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
|
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y="67.008698">$\{a\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="112.90984"
|
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y="67.017166"
|
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id="text1009-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-6"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="112.90984"
|
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y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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y="67.008698"
|
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id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="176.20593"
|
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y="67.008698">$\{c\}$</tspan></text>
|
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</g>
|
||||
|
@ -346,35 +346,35 @@
|
|||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="112.90984"
|
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y="40.841526"
|
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id="text1117"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="112.90984"
|
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y="40.841526">$\{a,c\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="49.27084"
|
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y="40.841526"
|
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id="text1117-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-5"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
|
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y="40.841526">$\{a,b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
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"
|
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x="176.20593"
|
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y="40.841526"
|
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id="text1117-6"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-2"
|
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style="stroke-width:0.264583;fill:#000000"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="176.20593"
|
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y="40.841526">$\{b,c\}$</tspan></text>
|
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</g>
|
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|
@ -433,20 +433,14 @@
|
|||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663"
|
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cx="117.08417"
|
||||
cy="38.792969"
|
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cx="147.35568"
|
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cy="95.24971"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3"
|
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cx="123.57843"
|
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cy="39.100433"
|
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r="2.7302806" />
|
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<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6"
|
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cx="119.58919"
|
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cy="67.645035"
|
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cx="176.97627"
|
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cy="68.155472"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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|
@ -468,13 +462,13 @@
|
|||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705"
|
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style="stroke-width:0.264583;fill:#000000"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
|
@ -490,48 +484,26 @@
|
|||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="33.02087"
|
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id="text3750-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
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:#000000;stroke-width:0.264583"
|
||||
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"
|
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id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
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y="52.022549"
|
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id="text4280"><tspan
|
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sodipodi:role="line"
|
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id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
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|
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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"
|
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x="49.27084"
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y="67.008698"
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id="text1009"><tspan
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sodipodi:role="line"
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id="tspan1007"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="49.27084"
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y="67.008698">$\{a\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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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"
|
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y="67.017166"
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id="text1009-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-6"
|
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style="fill:#000000;stroke-width:0.264583"
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x="112.90984"
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y="67.017166">$\{b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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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"
|
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y="67.008698"
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id="text1009-7"><tspan
|
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sodipodi:role="line"
|
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id="tspan1007-5"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="176.20593"
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y="67.008698">$\{c\}$</tspan></text>
|
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</g>
|
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|
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id="g1183"
|
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transform="translate(51.996784,1.0317046)"
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style="fill:#000000">
|
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<text
|
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xml:space="preserve"
|
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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"
|
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x="112.90984"
|
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y="40.841526"
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id="text1117"><tspan
|
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sodipodi:role="line"
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id="tspan1115"
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style="fill:#000000;stroke-width:0.264583"
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x="112.90984"
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y="40.841526">$\{a,c\}$</tspan></text>
|
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<text
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xml:space="preserve"
|
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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"
|
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x="49.27084"
|
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y="40.841526"
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id="text1117-3"><tspan
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sodipodi:role="line"
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id="tspan1115-5"
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style="fill:#000000;stroke-width:0.264583"
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x="49.27084"
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y="40.841526">$\{a,b\}$</tspan></text>
|
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<text
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xml:space="preserve"
|
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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"
|
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x="176.20593"
|
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y="40.841526"
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id="text1117-6"><tspan
|
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sodipodi:role="line"
|
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id="tspan1115-2"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="176.20593"
|
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y="40.841526">$\{b,c\}$</tspan></text>
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</g>
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style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
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d="M 153.33622,90.367682 118.34198,73.428915"
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id="path1300" />
|
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<path
|
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style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
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d="M 177.46016,90.367682 212.4544,73.428915"
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id="path1300-2" />
|
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<path
|
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style="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)"
|
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d="M 153.33622,61.655656 118.34198,44.716889"
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id="path1300-0" />
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<path
|
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style="fill: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)"
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d="M 177.46016,61.655656 212.4544,44.716889"
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id="path1300-2-6" />
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<path
|
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style="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)"
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d="M 118.34198,61.655656 153.33622,44.716889"
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id="path1300-0-7" />
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<path
|
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style="fill: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)"
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d="M 212.4544,61.655656 177.46016,44.716889"
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id="path1300-2-6-9" />
|
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<path
|
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style="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)"
|
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d="M 118.34198,34.227412 153.33622,17.288645"
|
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id="path1300-0-7-5" />
|
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<path
|
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style="fill: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)"
|
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d="M 212.4544,34.227412 177.46016,17.288645"
|
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id="path1300-2-6-9-0" />
|
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<path
|
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style="fill: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)"
|
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d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
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id="path1300-2-2"
|
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
|
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d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
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id="path1300-2-2-9"
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
|
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d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
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id="path1300-2-2-6"
|
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sodipodi:nodetypes="cc" />
|
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<path
|
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style="fill: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)"
|
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d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
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id="path1300-2-2-6-9"
|
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sodipodi:nodetypes="cc" />
|
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663"
|
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cx="147.35568"
|
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cy="95.24971"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3"
|
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cx="176.97627"
|
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cy="68.155472"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1"
|
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cx="18.004833"
|
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cy="39.402473"
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r="2.7302806" />
|
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0"
|
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cx="18.004833"
|
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cy="30.371933"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6-6"
|
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cx="18.004833"
|
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cy="21.341394"
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r="2.7302806" />
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217"
|
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id="text3707"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="13.702217">$write(\{a\})$:</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="24.042637"
|
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id="text3750"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="33.02087"
|
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id="text3750-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-2"
|
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="41.972523"
|
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id="text3750-0"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-6"
|
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
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<circle
|
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style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-1-4"
|
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cx="18.004833"
|
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cy="90.979645"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0-5"
|
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cx="18.004833"
|
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cy="81.949104"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6-6-2"
|
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cx="18.004833"
|
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cy="72.918564"
|
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r="2.7302806" />
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="65.279381"
|
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id="text3707-5"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705-4"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="6.9525447"
|
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y="65.279381">$write(\{b\})$:</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="59.340172"
|
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y="118.94403"
|
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id="text3707-5-3"><tspan
|
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sodipodi:role="line"
|
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id="tspan3705-4-6"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="59.340172"
|
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y="118.94403">$read()$:</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
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y="75.619804"
|
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id="text3750-7"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-4"
|
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="84.598038"
|
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id="text3750-3-4"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-2-3"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="23.457415"
|
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y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="93.54969"
|
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id="text3750-0-0"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-6-7"
|
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style="fill:#999999;stroke-width:0.264583"
|
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x="23.457415"
|
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y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
|
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6"
|
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cx="118.63729"
|
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cy="67.630196"
|
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r="2.7302806" />
|
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<circle
|
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style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6-6-0"
|
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cx="67.201363"
|
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cy="124.91125"
|
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r="2.7302806" />
|
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<text
|
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xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
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x="72.653946"
|
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y="127.6125"
|
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id="text3750-9"><tspan
|
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sodipodi:role="line"
|
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id="tspan3748-3"
|
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style="fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
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y="127.6125">$\to \{a\}$</tspan></text>
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="62.764446"
|
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y="146.3129"
|
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id="text4280-6"><tspan
|
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sodipodi:role="line"
|
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style="fill:#000000;stroke-width:0.264583"
|
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x="62.764446"
|
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y="146.3129"
|
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id="tspan2630">return $\{a\}$</tspan></text>
|
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<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-3-0-7"
|
||||
cx="67.201363"
|
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cy="133.94179"
|
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r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
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y="136.59073"
|
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id="text3750-3-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2-0"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="72.653946"
|
||||
y="136.59073">$\to \{\}$</tspan></text>
|
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<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
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id="path3663-6-6-0-6"
|
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cx="174.36296"
|
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cy="124.91125"
|
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r="2.7302806" />
|
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<text
|
||||
xml:space="preserve"
|
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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
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y="127.6125"
|
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id="text3750-9-1"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan3748-3-8"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="179.81555"
|
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y="127.6125">$\to \{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="162.7999"
|
||||
y="118.94403"
|
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id="text3707-5-3-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-4-6-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
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x="162.7999"
|
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y="118.94403">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
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<text
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</svg>
|
After Width: | Height: | Size: 25 KiB |
|
@ -49,7 +49,7 @@
|
|||
|
||||
\title{Garage}
|
||||
\subtitle{a lightweight and robust geo-distributed data storage system}
|
||||
\author{Deuxfleurs Association}
|
||||
\author{Alex Auvolat, Deuxfleurs Association}
|
||||
\date{Inria, 2023-01-18}
|
||||
|
||||
\begin{document}
|
||||
|
@ -59,7 +59,7 @@
|
|||
\includegraphics[width=.3\linewidth]{../../sticker/Garage.pdf}
|
||||
\vspace{1em}
|
||||
|
||||
{\large\bf Deuxfleurs Association}
|
||||
{\large\bf Alex Auvolat, Deuxfleurs Association}
|
||||
\vspace{1em}
|
||||
|
||||
\url{https://garagehq.deuxfleurs.fr/}
|
||||
|
@ -68,7 +68,7 @@
|
|||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Who we are}
|
||||
\frametitle{Who I am}
|
||||
\begin{columns}[t]
|
||||
\begin{column}{.2\textwidth}
|
||||
\centering
|
||||
|
@ -82,21 +82,6 @@
|
|||
~
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\vspace{1em}
|
||||
|
||||
\begin{columns}[t]
|
||||
\begin{column}{.2\textwidth}
|
||||
~
|
||||
\end{column}
|
||||
\begin{column}{.6\textwidth}
|
||||
\textbf{Quentin Dufour}\\
|
||||
PhD; co-founder of Deuxfleurs
|
||||
\end{column}
|
||||
\begin{column}{.2\textwidth}
|
||||
\centering
|
||||
\adjincludegraphics[width=.5\linewidth, valign=t]{assets/quentin.jpg}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
\vspace{2em}
|
||||
|
||||
\begin{columns}[t]
|
||||
|
@ -546,7 +531,7 @@
|
|||
|
||||
\vspace{1em}
|
||||
|
||||
\textbf{CRDTs only}\\(conflict-free replicated data types)
|
||||
\textbf{Limited objects such as CRDTs}\\(conflict-free replicated data types)
|
||||
|
||||
\vspace{1em}
|
||||
Part of the complexity is \textbf{reported to the consumer of the API}\\~
|
||||
|
@ -647,6 +632,13 @@
|
|||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Performance gains in practice}
|
||||
\begin{center}
|
||||
\includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png}
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{What can we implement without consensus?}
|
||||
\begin{itemize}
|
||||
|
@ -664,7 +656,7 @@
|
|||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Understanding CRDTs and quorums}
|
||||
\frametitle{CRDTs and quorums: read-after-write consistency}
|
||||
\begin{figure}
|
||||
\centering
|
||||
\def\svgwidth{.8\textwidth}
|
||||
|
@ -676,15 +668,11 @@
|
|||
\only<6>{\import{assets/}{lattice6.pdf_tex}}%
|
||||
\only<7>{\import{assets/}{lattice7.pdf_tex}}%
|
||||
\only<8>{\import{assets/}{lattice8.pdf_tex}}%
|
||||
\only<9>{\import{assets/}{lattice9.pdf_tex}}%
|
||||
\only<10>{\import{assets/}{latticeA.pdf_tex}}%
|
||||
\only<11>{\import{assets/}{latticeB.pdf_tex}}%
|
||||
\only<12>{\import{assets/}{latticeC.pdf_tex}}%
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Read-after-write consistency:}
|
||||
\frametitle{CRDTs and quorums: read-after-write consistency}
|
||||
\textbf{Property:} If node $A$ did an operation $write(x)$ and received an OK response,\\
|
||||
\hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received OK,\\
|
||||
\hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$.
|
||||
|
@ -718,7 +706,25 @@
|
|||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Monotonical read consistency:}
|
||||
\frametitle{CRDTs and quorums: monotonic-reads consistency}
|
||||
\begin{figure}
|
||||
\centering
|
||||
\def\svgwidth{.8\textwidth}
|
||||
\only<1>{\import{assets/}{latticeB_1.pdf_tex}}%
|
||||
\only<2>{\import{assets/}{latticeB_2.pdf_tex}}%
|
||||
\only<3>{\import{assets/}{latticeB_3.pdf_tex}}%
|
||||
\only<4>{\import{assets/}{latticeB_4.pdf_tex}}%
|
||||
\only<5>{\import{assets/}{latticeB_5.pdf_tex}}%
|
||||
\only<6>{\import{assets/}{latticeB_6.pdf_tex}}%
|
||||
\only<7>{\import{assets/}{latticeB_7.pdf_tex}}%
|
||||
\only<8>{\import{assets/}{latticeB_8.pdf_tex}}%
|
||||
\only<9>{\import{assets/}{latticeB_9.pdf_tex}}%
|
||||
\only<10>{\import{assets/}{latticeB_10.pdf_tex}}%
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{CRDTs and quorums: monotonic-reads consistency}
|
||||
\textbf{Property:} If node $A$ did an operation $read()$ and received $x$ as a response,\\
|
||||
\hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received $x$,\\
|
||||
\hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$.
|
||||
|
@ -735,14 +741,8 @@
|
|||
\end{enumerate}
|
||||
|
||||
\vspace{1em}
|
||||
This makes reads slower in some cases, and is \textbf{not implemented in Garage}.
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Performance gains in practice}
|
||||
\begin{center}
|
||||
\includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png}
|
||||
\end{center}
|
||||
This makes reads slower in some cases, and is \textbf{not implemented in Garage}.
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
|
|