dot: fix printing of alternating automata
Related to #208. * spot/twaalgos/dot.cc: Fix missing definitions of universal nodes, and inclusion of universal nodes inside of SCC when none of the destination comes back to the SCC. * tests/python/_altscc.ipynb: Adjust and add more test cases. * tests/core/alternating.test, tests/core/neverclaimread.test, tests/core/readsave.test, tests/core/sccdot.test, tests/python/decompose.ipynb: Adjust test cases. * NEWS: Mention the bug.
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8 changed files with 1603 additions and 1173 deletions
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@ -62,66 +62,66 @@ digraph G {
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labelloc="t"
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I [label="", style=invis, width=0]
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I -> -11 [arrowhead=onormal]
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-11 [label=<>,shape=point]
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-11 -> 0
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-11 -> 2
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subgraph cluster_0 {
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color=green
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label=""
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2 [label="G(a)"]
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2 -> 2 [label="a"]
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}
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subgraph cluster_1 {
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color=red
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label=""
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1 [label="FG(a)\n⓿"]
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1 -> 2 [label="a"]
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1 -> 1 [label="1"]
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}
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subgraph cluster_2 {
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color=green
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label=""
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6 [label="t"]
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6 -> 6 [label="1"]
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}
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subgraph cluster_3 {
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color=red
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label=""
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4 [label="F(b)\n⓿"]
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4 -> 6 [label="b"]
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4 -> 4 [label="!b"]
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}
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subgraph cluster_4 {
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color=green
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label=""
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3 [label="GF(b)"]
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3 -> 3 [label="b"]
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3 -> -8.4 [label="!b", style=bold, color="#FAA43A", arrowhead=onormal]
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-8.4 [label=<>,shape=point]
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-8.4 -> 3 [style=bold, color="#FAA43A"]
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-8.4 -> 4 [style=bold, color="#FAA43A"]
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-8 [label=<>,shape=point]
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}
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subgraph cluster_5 {
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color=red
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label=""
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5 [label="((a) U (b))\n⓿"]
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5 -> 6 [label="b"]
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5 -> 5 [label="a & !b"]
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}
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subgraph cluster_6 {
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color=black
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label=""
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0 [label="((((a) U (b)) && GF(b)) && FG(a))"]
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0 -> -1 [label="b", arrowhead=onormal]
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-1 [label=<>,shape=point]
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-1 -> 1
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-1 -> 3
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0 -> -4 [label="a & !b", style=bold, color="#F15854", arrowhead=onormal]
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-4 [label=<>,shape=point]
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-4 -> 1 [style=bold, color="#F15854"]
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-4 -> 3 [style=bold, color="#F15854"]
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-4 -> 5 [style=bold, color="#F15854"]
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}
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-11 [label=<>,shape=point]
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-11 -> 0
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-11 -> 2
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0 -> -1 [label="b", arrowhead=onormal]
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-1 [label=<>,shape=point]
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-1 -> 1
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-1 -> 3
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0 -> -4 [label="a & !b", style=bold, color="#F15854", arrowhead=onormal]
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-4 [label=<>,shape=point]
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-4 -> 1 [style=bold, color="#F15854"]
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-4 -> 3 [style=bold, color="#F15854"]
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-4 -> 5 [style=bold, color="#F15854"]
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1 -> 2 [label="a"]
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1 -> 1 [label="1"]
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2 -> 2 [label="a"]
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3 -> 3 [label="b"]
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3 -> -8 [label="!b", style=bold, color="#FAA43A", arrowhead=onormal]
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-8 -> 3 [style=bold, color="#FAA43A"]
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-8 -> 4 [style=bold, color="#FAA43A"]
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4 -> 6 [label="b"]
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4 -> 4 [label="!b"]
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5 -> 6 [label="b"]
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5 -> 5 [label="a & !b"]
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6 -> 6 [label="1"]
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}
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EOF
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@ -508,19 +508,19 @@ digraph G {
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edge [fontname="Lato"]
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I [label="", style=invis, width=0]
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I -> -1 [arrowhead=onormal]
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-1 [label=<>,shape=point]
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-1 -> 0
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-1 -> 1
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-1 [label=<>,shape=point]
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-1 -> 0
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-1 -> 1
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0 [label=<0>]
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0 -> 0 [label=<!a & !c>]
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0 -> -1.1 [label=<a & b & !c>, style=bold, color="#F17CB0", $style]
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-1.1 [label=<>,shape=point]
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-1.1 -> 0 [style=bold, color="#F17CB0"]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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-1.1 [label=<>,shape=point]
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-1.1 -> 0 [style=bold, color="#F17CB0"]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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0 -> -1.2 [label=<a & !c>, style=bold, color="#FAA43A", $style]
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-1.2 [label=<>,shape=point]
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-1.2 -> 0 [style=bold, color="#FAA43A"]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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-1.2 [label=<>,shape=point]
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-1.2 -> 0 [style=bold, color="#FAA43A"]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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1 [label=<1>]
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1 -> 1 [label=<b>]
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}
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@ -574,52 +574,52 @@ digraph G {
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color=green
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label=""
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4 [label="t"]
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4 -> 4 [label=<1>]
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}
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subgraph cluster_1 {
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color=green
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label=""
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1 [label="G(a & b)"]
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1 -> 1 [label=<a & b>]
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}
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subgraph cluster_2 {
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color=red
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label=""
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2 [label="F!a"]
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2 -> 4 [label=<!a>]
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2 -> 2 [label=<a<br/><font color="#F17CB0">❶</font>>]
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}
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subgraph cluster_3 {
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color=red
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label=""
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3 [label="F!b"]
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3 -> 4 [label=<!b>]
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3 -> 3 [label=<b<br/><font color="#5DA5DA">⓿</font>>]
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}
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subgraph cluster_4 {
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color=green
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label=""
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0 [label="c R (c | G(a & b) | (F!b & F!a))"]
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-1 [label=<>,shape=point]
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-4 [label=<>,shape=point]
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-7 [label=<>,shape=point]
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-10 [label=<>,shape=point]
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}
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0 -> 4 [label=<c>]
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0 -> 0 [label=<!a & !b & !c>]
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0 -> -1.4 [label=<a & b & !c>, arrowhead=onormal]
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-1.4 [label=<>,shape=point]
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-1.4 -> 0
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-1.4 -> 1
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0 -> -4.4 [label=<a & !b & !c>, arrowhead=onormal]
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-4.4 [label=<>,shape=point]
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-4.4 -> 0
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-4.4 -> 2
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0 -> -7.4 [label=<!a & b & !c>, arrowhead=onormal]
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-7.4 [label=<>,shape=point]
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-7.4 -> 0
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-7.4 -> 3
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0 -> -10.4 [label=<a & b & !c>, arrowhead=onormal]
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-10.4 [label=<>,shape=point]
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-10.4 -> 0
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-10.4 -> 2
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-10.4 -> 3
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}
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0 -> -1 [label=<a & b & !c>, arrowhead=onormal]
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-1 -> 0
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-1 -> 1
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0 -> -4 [label=<a & !b & !c>, arrowhead=onormal]
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-4 -> 0
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-4 -> 2
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0 -> -7 [label=<!a & b & !c>, arrowhead=onormal]
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-7 -> 0
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-7 -> 3
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0 -> -10 [label=<a & b & !c>, arrowhead=onormal]
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-10 -> 0
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-10 -> 2
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-10 -> 3
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1 -> 1 [label=<a & b>]
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2 -> 4 [label=<!a>]
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2 -> 2 [label=<a<br/><font color="#F17CB0">❶</font>>]
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3 -> 4 [label=<!b>]
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3 -> 3 [label=<b<br/><font color="#5DA5DA">⓿</font>>]
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4 -> 4 [label=<1>]
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}
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EOF
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@ -670,48 +670,48 @@ digraph G {
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color=green
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label=""
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4 [label="t"]
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4 -> 4 [label=<1>]
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}
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subgraph cluster_1 {
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color=red
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label=""
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2 [label="F!a"]
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2 -> 4 [label=<!a>]
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2 -> 2 [label=<a<br/><font color="#F17CB0">❶</font>>]
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}
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subgraph cluster_2 {
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color=red
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label=""
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3 [label="F!b"]
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3 -> 4 [label=<!b>]
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3 -> 3 [label=<b<br/><font color="#5DA5DA">⓿</font>>]
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}
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subgraph cluster_3 {
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color=green
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label=""
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0 [label="c R (c | G(a & b) | (F!b & F!a))"]
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-1 [label=<>,shape=point]
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-4 [label=<>,shape=point]
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-7 [label=<>,shape=point]
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1 [label="G(a & b)"]
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-10 [label=<>,shape=point]
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}
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0 -> 4 [label=<c>]
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0 -> 0 [label=<!a & !b & !c>]
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0 -> -1.3 [label=<a & b & !c>, arrowhead=onormal]
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-1.3 [label=<>,shape=point]
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-1.3 -> 0
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-1.3 -> 1
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0 -> -4.3 [label=<a & !b & !c>, arrowhead=onormal]
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-4.3 [label=<>,shape=point]
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-4.3 -> 0
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-4.3 -> 2
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0 -> -7.3 [label=<!a & b & !c>, arrowhead=onormal]
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-7.3 [label=<>,shape=point]
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-7.3 -> 0
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-7.3 -> 3
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1 [label="G(a & b)"]
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0 -> -1 [label=<a & b & !c>, arrowhead=onormal]
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-1 -> 0
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-1 -> 1
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0 -> -4 [label=<a & !b & !c>, arrowhead=onormal]
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-4 -> 0
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-4 -> 2
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0 -> -7 [label=<!a & b & !c>, arrowhead=onormal]
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-7 -> 0
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-7 -> 3
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1 -> 1 [label=<a & b>]
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1 -> -10.3 [label=<a & b & !c>, arrowhead=onormal]
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-10.3 [label=<>,shape=point]
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-10.3 -> 0
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-10.3 -> 2
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-10.3 -> 3
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}
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1 -> -10 [label=<a & b & !c>, arrowhead=onormal]
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-10 -> 0
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-10 -> 2
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-10 -> 3
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2 -> 4 [label=<!a>]
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2 -> 2 [label=<a<br/><font color="#F17CB0">❶</font>>]
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3 -> 4 [label=<!b>]
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3 -> 3 [label=<b<br/><font color="#5DA5DA">⓿</font>>]
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4 -> 4 [label=<1>]
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}
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EOF
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@ -749,16 +749,16 @@ digraph G {
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I -> 0
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0 [label=<0>]
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0 -> -1.1 [label=<b & c>, style=bold, color="#F17CB0", arrowhead=onormal]
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-1.1 [label=<>,shape=point]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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-1.1 -> 2 [style=bold, color="#F17CB0"]
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-1.1 [label=<>,shape=point]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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-1.1 -> 2 [style=bold, color="#F17CB0"]
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1 [label=<1>]
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1 -> -1.1 [label=<a & b>, style=bold, color="#F17CB0", arrowhead=onormal]
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2 [label=<2>]
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2 -> -1.2 [label=<!a & !b & !c>, style=bold, color="#FAA43A", $style]
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-1.2 [label=<>,shape=point]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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-1.2 -> 2 [style=bold, color="#FAA43A"]
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-1.2 [label=<>,shape=point]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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-1.2 -> 2 [style=bold, color="#FAA43A"]
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}
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EOF
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@ -796,19 +796,19 @@ digraph G {
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I -> 0
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0 [label=<0>]
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0 -> -1.1 [label=<b & c>, style=bold, color="#F17CB0", arrowhead=onormal]
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-1.1 [label=<>,shape=point]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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-1.1 -> 2 [style=bold, color="#F17CB0"]
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-1.1 [label=<>,shape=point]
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-1.1 -> 1 [style=bold, color="#F17CB0"]
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-1.1 -> 2 [style=bold, color="#F17CB0"]
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1 [label=<1>]
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1 -> -1.3 [label=<a & b>, style=bold, color="#B276B2", arrowhead=onormal]
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-1.3 [label=<>,shape=point]
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-1.3 -> 1 [style=bold, color="#B276B2"]
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-1.3 -> 2 [style=bold, color="#B276B2"]
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-1.3 [label=<>,shape=point]
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-1.3 -> 1 [style=bold, color="#B276B2"]
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-1.3 -> 2 [style=bold, color="#B276B2"]
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2 [label=<2>]
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2 -> -1.2 [label=<!a & !b & !c>, style=bold, color="#FAA43A", $style]
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-1.2 [label=<>,shape=point]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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-1.2 -> 2 [style=bold, color="#FAA43A"]
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-1.2 [label=<>,shape=point]
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-1.2 -> 1 [style=bold, color="#FAA43A"]
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-1.2 -> 2 [style=bold, color="#FAA43A"]
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}
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EOF
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@ -853,35 +853,35 @@ digraph G {
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color=green
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label=""
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3 [label="t"]
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3 -> 3 [label=<1>]
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}
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subgraph cluster_1 {
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color=green
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label=""
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1 [label="Fa"]
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1 -> 3 [label=<a>]
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1 -> 1 [label=<!a>]
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}
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subgraph cluster_2 {
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color=green
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label=""
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2 [label="G!a"]
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2 -> 2 [label=<!a>]
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}
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subgraph cluster_3 {
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color=green
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label=""
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0 [label="G((b & Fa) | (!b & G!a))"]
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0 -> 0 [label=<a & b>]
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0 -> -1.3 [label=<!a & b>, arrowhead=onormal]
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-1.3 [label=<>,shape=point]
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-1.3 -> 0
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-1.3 -> 1
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0 -> -4.3 [label=<!a & !b>, arrowhead=onormal]
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-4.3 [label=<>,shape=point]
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-4.3 -> 0
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-4.3 -> 2
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-1 [label=<>,shape=point]
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-4 [label=<>,shape=point]
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}
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0 -> 0 [label=<a & b>]
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0 -> -1 [label=<!a & b>, arrowhead=onormal]
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-1 -> 0
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-1 -> 1
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0 -> -4 [label=<!a & !b>, arrowhead=onormal]
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-4 -> 0
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-4 -> 2
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1 -> 3 [label=<a>]
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1 -> 1 [label=<!a>]
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2 -> 2 [label=<!a>]
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3 -> 3 [label=<1>]
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}
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EOF
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