2a308182db
Fixes #319. * spot/twaalgos/dot.cc: Enable "a" by default. * bin/common_aoutput.cc, NEWS: Document it. * doc/org/autfilt.org, doc/org/concepts.org, doc/org/dstar2tgba.org, doc/org/hierarchy.org, doc/org/ltl2tgba.org, doc/org/oaut.org, doc/org/randaut.org, doc/org/satmin.org, doc/org/tut23.org, doc/org/tut24.org, doc/org/tut30.org, doc/org/tut31.org: Adjust or simplify the documentation. * tests/core/det.test, tests/core/dstar.test, tests/core/monitor.test, tests/core/neverclaimread.test, tests/core/readsave.test, tests/core/tgbagraph.test, tests/core/wdba.test, tests/python/_autparserr.ipynb, tests/python/automata-io.ipynb, tests/python/automata.ipynb, tests/python/highlighting.ipynb tests/python/ltsmin-dve.ipynb, tests/python/ltsmin-pml.ipynb, tests/python/product.ipynb, tests/python/testingaut.ipynb, tests/python/word.ipynb: Adjust test cases.
2556 lines
177 KiB
Text
2556 lines
177 KiB
Text
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"cells": [
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import spot\n",
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"spot.setup()\n",
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"from IPython.display import display"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"This notebook shows you different ways in which states or transitions can be highlighted in Spot. \n",
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"\n",
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"It should be noted that highlighting works using some special [named properties](https://spot.lrde.epita.fr/concepts.html#named-properties): basically, two maps that are attached to the automaton, and associated state or edge numbers to color numbers. This named properties are fragile: they will be lost if the automaton is transformed into a new automaton, and they can become meaningless of the automaton is modified in place (e.g., if the transitions or states are reordered).\n",
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"\n",
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"Nonetheless, highlighting is OK to use right before displaying or printing the automaton. The `dot` and `hoa` printer both know how to represent highlighted states and transitions.\n",
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"\n",
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"# Manual highlighting"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"a = spot.translate('a U b U c')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"The `#` option of `print_dot()` can be used to display the internal number of each transition "
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]
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},
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"cell_type": "code",
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}
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],
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"source": [
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"a.show('.#')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Using these numbers you can selectively hightlight some transitions. The second argument is a color number (from a list of predefined colors)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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"text/plain": [
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]
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"a.highlight_edges([2, 4, 5], 1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Note that these `highlight_` functions work for edges and states, and come with both singular (changing the color of single state or edge) and plural versions.\n",
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"\n",
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"They modify the automaton in place."
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]
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"<g id=\"edge6\" class=\"edge\"><title>2->1</title>\n",
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"</g>\n",
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"<g id=\"edge2\" class=\"edge\"><title>0->0</title>\n",
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"</g>\n",
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"<g id=\"edge4\" class=\"edge\"><title>1->1</title>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f5e857897b0> >"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"a.highlight_edge(6, 2).highlight_states((0, 1), 0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"The plural version can take a list or tuple of state numbers (as above) or of Booleans (as below). In the latter case the indices of the True values give the states to highlight."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"</g>\n",
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"<!-- I->2 -->\n",
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"<g id=\"edge1\" class=\"edge\"><title>I->2</title>\n",
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"<!-- 2->2 -->\n",
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"<g id=\"edge7\" class=\"edge\"><title>2->2</title>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"<g id=\"edge6\" class=\"edge\"><title>2->1</title>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge2\" class=\"edge\"><title>0->0</title>\n",
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"</g>\n",
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"</g>\n",
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"<g id=\"edge4\" class=\"edge\"><title>1->1</title>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5e8c08c090> >"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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|
"source": [
|
|
"a.highlight_states([False, True, True], 5)"
|
|
]
|
|
},
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|
{
|
|
"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"# Saving to HOA 1.1\n",
|
|
"\n",
|
|
"When saving to HOA format, the highlighting is only output if version 1.1 of the format is selected, because the headers `spot.highlight.edges` and `spot.highlight.states` contain dots, which are disallowed in version 1. Compare these two outputs:"
|
|
]
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|
},
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{
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|
"cell_type": "code",
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|
"execution_count": 7,
|
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"metadata": {},
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|
"outputs": [
|
|
{
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|
"name": "stdout",
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|
"output_type": "stream",
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|
"text": [
|
|
"HOA: v1\n",
|
|
"States: 3\n",
|
|
"Start: 2\n",
|
|
"AP: 3 \"a\" \"b\" \"c\"\n",
|
|
"acc-name: Buchi\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"properties: trans-labels explicit-labels state-acc deterministic\n",
|
|
"properties: stutter-invariant terminal\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"State: 1\n",
|
|
"[2] 0\n",
|
|
"[1&!2] 1\n",
|
|
"State: 2\n",
|
|
"[2] 0\n",
|
|
"[!0&1&!2] 1\n",
|
|
"[0&!2] 2\n",
|
|
"--END--\n",
|
|
"\n",
|
|
"HOA: v1.1\n",
|
|
"States: 3\n",
|
|
"Start: 2\n",
|
|
"AP: 3 \"a\" \"b\" \"c\"\n",
|
|
"acc-name: Buchi\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"properties: trans-labels explicit-labels state-acc !complete\n",
|
|
"properties: deterministic stutter-invariant terminal\n",
|
|
"spot.highlight.states: 0 0 1 5 2 5\n",
|
|
"spot.highlight.edges: 2 1 4 1 5 1 6 2\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"State: 1\n",
|
|
"[2] 0\n",
|
|
"[1&!2] 1\n",
|
|
"State: 2\n",
|
|
"[2] 0\n",
|
|
"[!0&1&!2] 1\n",
|
|
"[0&!2] 2\n",
|
|
"--END--\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(a.to_str('HOA', '1'))\n",
|
|
"print()\n",
|
|
"print(a.to_str('HOA', '1.1'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
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|
"metadata": {},
|
|
"source": [
|
|
"# Highlighting a run\n",
|
|
"\n",
|
|
"One use of this highlighting is to highlight a run in an automaton.\n",
|
|
"\n",
|
|
"The following few command generate an automaton, then an accepting run on this automaton, and highlight that accepting run on the automaton. Note that a run knows the automaton from which it was generated, so calling `highlight()` will directly decorate that automaton."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
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|
"execution_count": 8,
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"metadata": {},
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"outputs": [
|
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{
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"data": {
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"image/svg+xml": [
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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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]
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"metadata": {},
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}
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],
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"source": [
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"b"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
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"# Highlighting from a product\n",
|
|
"\n",
|
|
"Pretty often, accepting runs are found in a product but we want to display them on one of the original automata. This can be done by projecting the runs on those automata before displaying them."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {},
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"outputs": [
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{
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge2\" class=\"edge\"><title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M132.994,-42.5808C131.886,-52.8447 134.555,-62 141,-62 145.834,-62 148.544,-56.8502 149.129,-49.9451\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5e85799030> >"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/svg+xml": [
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"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
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" viewBox=\"0.00 0.00 82.00 161.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-138.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"<!-- I -->\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"56\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g id=\"edge1\" class=\"edge\"><title>I->0</title>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<text text-anchor=\"start\" x=\"50.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\">!a</text>\n",
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"<g id=\"edge3\" class=\"edge\"><title>0->0</title>\n",
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"<text text-anchor=\"start\" x=\"52.5\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5e85799720> >"
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]
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},
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"metadata": {},
|
|
"output_type": "display_data"
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}
|
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],
|
|
"source": [
|
|
"left = spot.translate('a U b')\n",
|
|
"right = spot.translate('GFa')\n",
|
|
"display(left, right)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
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" -->\n",
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" viewBox=\"0.00 0.00 227.00 188.54\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"start\" x=\"62.5\" y=\"-166.343\" font-family=\"Lato\" font-size=\"14.00\">Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"65.5\" y=\"-152.343\" font-family=\"Lato\" font-size=\"14.00\">[gen. Büchi 2]</text>\n",
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"</g>\n",
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"prod = spot.product(left, right); prod"
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" 1,0\n",
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" | !a & b\n",
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"Cycle:\n",
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" 0,0\n",
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" | !a\t{0}\n",
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" 0,0\n",
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" | a\t{0,1}"
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]
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"source": [
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"run = prod.accepting_run(); run"
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"run.highlight(5)\n",
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"# guess it. The left-side is assumed unless you pass True as a second argument.\n",
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"run.project(left).highlight(5)\n",
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"run.project(right, True).highlight(5)"
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]
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},
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"The projection also works for products generated on-the-fly, but the on-the-fly product itself cannot be highlighted (it does not store states or transitions). "
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" | a\t{0}\n",
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" 1 * 0\n",
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"Cycle:\n",
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" 1 * 4\n",
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" | a\t{0,1}"
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}
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],
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"source": [
|
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"left2 = spot.translate('!b & FG a')\n",
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"right2 = spot.translate('XXXb')\n",
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"prod2 = spot.otf_product(left2, right2) # Note \"otf_product()\"\n",
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"run2 = prod2.accepting_run()\n",
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"run2.project(left2).highlight(5)\n",
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"run2.project(right2, True).highlight(5)\n",
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"display(run2, prod2, left2, right2)"
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]
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},
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{
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"metadata": {},
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"source": [
|
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"# Highlighting nondeterminism\n",
|
|
"\n",
|
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"Sometimes its is hard to locate non-deterministic states inside a large automaton. Here are two functions that can help for that."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"outputs": [
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"# Disappearing highlights\n",
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"\n",
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"As explained at the top of this notebook, named properties (such as highlights) are fragile, and you should not really on them being preserved across algorithms. In-place algorithm are probably the worst, because they might modify the automaton and ignore the attached named properties. \n",
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"\n",
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"`randomize()` is one such in-place algorithm: it reorder states or transitions of the automaton. By doing so it renumber the states and edges, and that process would completely invalidate the highlights information. Fortunately `randomize()` know about highlights: it will preserve highlighted states, but it will drop all highlighted edges."
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]
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},
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"execution_count": 19,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"spot.randomize(b); b"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
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"# Highlighting with partial output\n",
|
|
"\n",
|
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"For simplicity, rendering of partial automata is actually implemented by copying the original automaton and marking some states as \"incomplete\". This also allows the same display code to work with automata generated on-the-fly. However since there is a copy, propagating the highlighting information requires extra work. Let's make sure it has been done:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 20,
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"metadata": {},
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"outputs": [
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]
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},
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"</g>\n",
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"<!-- 2 -->\n",
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"<g class=\"node\" id=\"node5\"><title>2</title>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"246\" y=\"-149.3\">3</text>\n",
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"<g class=\"edge\" id=\"edge5\"><title>1->2</title>\n",
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"</g>\n",
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"<g class=\"node\" id=\"node7\"><title>u2</title>\n",
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"</g>\n",
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"<!-- 2->u2 -->\n",
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"<g class=\"edge\" id=\"edge7\"><title>2->u2</title>\n",
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"<path d=\"M264.341,-153C273.382,-153 284.464,-153 293.767,-153\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
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"<polygon fill=\"black\" points=\"300.774,-153 293.774,-156.15 297.274,-153 293.774,-153 293.774,-153 293.774,-153 297.274,-153 293.774,-149.85 300.774,-153 300.774,-153\" stroke=\"black\"/>\n",
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"</g>\n",
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"<!-- 3->3 -->\n",
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"<g class=\"edge\" id=\"edge9\"><title>3->3</title>\n",
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"<path d=\"M242.764,-35.7817C242.214,-45.3149 243.293,-54 246,-54 247.988,-54 249.098,-49.3161 249.329,-43.0521\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"229\" y=\"-57.8\">a & b</text>\n",
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"</g>\n",
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"<!-- 3->3 -->\n",
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"<g class=\"edge\" id=\"edge10\"><title>3->3</title>\n",
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"<path d=\"M240.684,-35.4203C237.654,-52.791 239.426,-72 246,-72 251.701,-72 253.791,-57.5545 252.269,-42.3894\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"227.5\" y=\"-90.8\">a & !b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"238\" y=\"-75.8\">⓿</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>"
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],
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"<IPython.core.display.SVG object>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/svg+xml": [
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"<svg height=\"113pt\" viewBox=\"0.00 0.00 226.00 113.00\" width=\"226pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 109)\">\n",
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"</g>\n",
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"<g class=\"edge\" id=\"edge1\"><title>I->0</title>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"</g>\n",
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"<!-- 1->u1 -->\n",
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"<g class=\"edge\" id=\"edge3\"><title>1->u1</title>\n",
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"</g>\n",
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"</g>\n",
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"</svg>"
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],
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"<IPython.core.display.SVG object>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
|
|
],
|
|
"source": [
|
|
"spot.highlight_nondet_edges(b, 4) # let's get those highlighted edges back\n",
|
|
"display(b, b.show('.<4'), b.show('.<2'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Highlighting languages\n",
|
|
"\n",
|
|
"For deterministic automata, the function `spot.highlight_languages()` can be used to highlight states that recognize the same language. This can be a great help in reading automata. States with a colored border share their language, and states with a black border all have a language different from all other states."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [
|
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{
|
|
"data": {
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"image/svg+xml": [
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"<g class=\"graph\" id=\"graph0\" transform=\"scale(0.882353 0.882353) rotate(0) translate(4 404)\">\n",
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"</g>\n",
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"</g>\n",
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"<!-- I -->\n",
|
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"<!-- 0 -->\n",
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"<g class=\"node\" id=\"node2\"><title>0</title>\n",
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"<ellipse cx=\"56\" cy=\"-128\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-124.3\">0</text>\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g class=\"edge\" id=\"edge1\"><title>I->0</title>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g class=\"node\" id=\"node6\"><title>1</title>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"417\" y=\"-174.3\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g class=\"edge\" id=\"edge2\"><title>0->1</title>\n",
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"<path d=\"M74.3153,-130.412C132.846,-138.564 323.456,-165.111 391.546,-174.594\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"211.5\" y=\"-160.8\">!a & !b</text>\n",
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"</g>\n",
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"<!-- 2 -->\n",
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"<g class=\"node\" id=\"node7\"><title>2</title>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"165\" y=\"-203.3\">2</text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g class=\"edge\" id=\"edge3\"><title>0->2</title>\n",
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"<path d=\"M70.9884,-138.328C89.7326,-152.167 123.097,-176.801 144.355,-192.496\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-183.8\">!a & b</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g class=\"node\" id=\"node9\"><title>3</title>\n",
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"<ellipse cx=\"165\" cy=\"-34\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"165\" y=\"-30.3\">3</text>\n",
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"</g>\n",
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"<!-- 0->3 -->\n",
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"<g class=\"edge\" id=\"edge4\"><title>0->3</title>\n",
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"<path d=\"M70.1203,-116.474C88.9719,-99.9126 123.815,-69.3025 145.341,-50.3916\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"107\" y=\"-98.8\">a</text>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g class=\"node\" id=\"node3\"><title>4</title>\n",
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"<ellipse cx=\"496\" cy=\"-237\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#ff4da0\" stroke-width=\"2\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"496\" y=\"-233.3\">4</text>\n",
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"</g>\n",
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"<!-- 6 -->\n",
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"<g class=\"node\" id=\"node4\"><title>6</title>\n",
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"<ellipse cx=\"584\" cy=\"-231\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#ff4da0\" stroke-width=\"2\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"584\" y=\"-227.3\">6</text>\n",
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"</g>\n",
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"<!-- 4->6 -->\n",
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"<g class=\"edge\" id=\"edge11\"><title>4->6</title>\n",
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"<path d=\"M511.717,-227.458C517.75,-224.083 524.96,-220.704 532,-219 541.348,-216.737 551.674,-218.391 560.575,-221.111\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"534.5\" y=\"-222.8\">!c</text>\n",
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"</g>\n",
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"<!-- 7 -->\n",
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"<g class=\"node\" id=\"node5\"><title>7</title>\n",
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"<ellipse cx=\"697\" cy=\"-236\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#ff4da0\" stroke-width=\"2\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"697\" y=\"-232.3\">7</text>\n",
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"</g>\n",
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"<!-- 4->7 -->\n",
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"<g class=\"edge\" id=\"edge12\"><title>4->7</title>\n",
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"<path d=\"M509.433,-224.76C522.338,-212.99 543.722,-195.987 566,-189 605.856,-176.501 651.607,-202.722 676.815,-220.791\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"580.5\" y=\"-192.8\">c</text>\n",
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"</g>\n",
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"<!-- 6->4 -->\n",
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"<g class=\"edge\" id=\"edge16\"><title>6->4</title>\n",
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"<path d=\"M565.917,-232.556C560.221,-233.051 553.839,-233.578 548,-234 539.242,-234.633 529.631,-235.225 521.136,-235.713\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"533.5\" y=\"-254.8\">!b</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"532\" y=\"-239.8\">❶</text>\n",
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"</g>\n",
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"<!-- 6->6 -->\n",
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"<g class=\"edge\" id=\"edge17\"><title>6->6</title>\n",
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"<path d=\"M576.332,-247.29C574.483,-257.389 577.039,-267 584,-267 589.221,-267 591.964,-261.594 592.229,-254.63\" fill=\"none\" stroke=\"black\"/>\n",
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"<polygon fill=\"black\" points=\"591.668,-247.29 595.342,-254.03 591.935,-250.78 592.201,-254.27 592.201,-254.27 592.201,-254.27 591.935,-250.78 589.06,-254.51 591.668,-247.29 591.668,-247.29\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"565.5\" y=\"-270.8\">b & !c</text>\n",
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"</g>\n",
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"<!-- 6->7 -->\n",
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"<g class=\"edge\" id=\"edge18\"><title>6->7</title>\n",
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"<path d=\"M600.694,-223.816C606.614,-221.471 613.493,-219.169 620,-218 637.935,-214.777 643.289,-213.713 661,-218 665.73,-219.145 670.537,-221.046 675.012,-223.194\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"623.5\" y=\"-221.8\">b & c</text>\n",
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"</g>\n",
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"<!-- 7->4 -->\n",
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"<g class=\"edge\" id=\"edge19\"><title>7->4</title>\n",
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"<path d=\"M682.418,-247.131C665.032,-260.589 633.389,-282.492 602,-291 570.65,-299.498 557.766,-289.777 532,-270 525.938,-265.347 519.738,-259.805 514.274,-254.603\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"579.5\" y=\"-313.8\">b</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"576\" y=\"-298.8\">❶</text>\n",
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"</g>\n",
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"<!-- 7->6 -->\n",
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"<g class=\"edge\" id=\"edge20\"><title>7->6</title>\n",
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"<path d=\"M678.791,-235.407C663.385,-234.856 640.18,-233.975 620,-233 616.535,-232.833 612.878,-232.641 609.286,-232.443\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"620\" y=\"-238.8\">!b & !c</text>\n",
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"</g>\n",
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"<!-- 7->7 -->\n",
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"<g class=\"edge\" id=\"edge21\"><title>7->7</title>\n",
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"<path d=\"M687.425,-251.541C684.73,-261.909 687.922,-272 697,-272 703.95,-272 707.45,-266.085 707.499,-258.659\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"678.5\" y=\"-275.8\">!b & c</text>\n",
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"</g>\n",
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"<!-- 1->4 -->\n",
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"<g class=\"edge\" id=\"edge5\"><title>1->4</title>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"453\" y=\"-211.8\">a</text>\n",
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"</g>\n",
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"<!-- 2->4 -->\n",
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"<g class=\"edge\" id=\"edge8\"><title>2->4</title>\n",
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"<path d=\"M170.947,-224.143C176.004,-238.172 185.373,-257.1 201,-266 290.786,-317.133 421.325,-269.831 472.875,-247.352\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"357\" y=\"-289.8\">a</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g class=\"edge\" id=\"edge6\"><title>2->1</title>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
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"<g class=\"edge\" id=\"edge7\"><title>2->2</title>\n",
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"<path d=\"M155.767,-222.541C153.169,-232.909 156.246,-243 165,-243 171.702,-243 175.077,-237.085 175.124,-229.659\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"132\" y=\"-246.8\">!a & b & !c</text>\n",
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"</g>\n",
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"<!-- 5 -->\n",
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"<g class=\"node\" id=\"node8\"><title>5</title>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"301.5\" y=\"-227.3\">5</text>\n",
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"</g>\n",
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"<!-- 2->5 -->\n",
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"<g class=\"edge\" id=\"edge9\"><title>2->5</title>\n",
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"<path d=\"M182.867,-204.499C202.533,-202.189 235.811,-200.175 263,-208 269.119,-209.761 275.23,-212.815 280.689,-216.132\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"201\" y=\"-211.8\">!a & b & c</text>\n",
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"</g>\n",
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"<!-- 5->4 -->\n",
|
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"<g class=\"edge\" id=\"edge15\"><title>5->4</title>\n",
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"<path d=\"M319.583,-231.532C353.83,-232.6 430.982,-235.005 470.564,-236.238\" fill=\"none\" stroke=\"black\"/>\n",
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"<polygon fill=\"black\" points=\"477.955,-236.469 470.86,-239.399 474.457,-236.36 470.959,-236.251 470.959,-236.251 470.959,-236.251 474.457,-236.36 471.057,-233.102 477.955,-236.469 477.955,-236.469\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"413.5\" y=\"-239.8\">a</text>\n",
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"</g>\n",
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"<!-- 5->1 -->\n",
|
|
"<g class=\"edge\" id=\"edge13\"><title>5->1</title>\n",
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"<path d=\"M316.767,-221.438C323.631,-217.051 332.074,-211.957 340,-208 357.279,-199.373 377.675,-191.437 392.986,-185.897\" fill=\"none\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"340\" y=\"-211.8\">!a & !b</text>\n",
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"</g>\n",
|
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"<!-- 5->2 -->\n",
|
|
"<g class=\"edge\" id=\"edge14\"><title>5->2</title>\n",
|
|
"<path d=\"M283.3,-231.412C263.223,-231.485 229.177,-230.33 201,-223 196.587,-221.852 192.039,-220.179 187.742,-218.342\" fill=\"none\" stroke=\"black\"/>\n",
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|
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"213.5\" y=\"-250.8\">!a & b</text>\n",
|
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"224\" y=\"-235.8\">❶</text>\n",
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"</g>\n",
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|
"<!-- 3->3 -->\n",
|
|
"<g class=\"edge\" id=\"edge10\"><title>3->3</title>\n",
|
|
"<path d=\"M155.767,-49.5414C153.169,-59.9087 156.246,-70 165,-70 171.702,-70 175.077,-64.0847 175.124,-56.6591\" fill=\"none\" stroke=\"black\"/>\n",
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"<polygon fill=\"black\" points=\"174.233,-49.5414 178.229,-56.0955 174.668,-53.0143 175.103,-56.4871 175.103,-56.4871 175.103,-56.4871 174.668,-53.0143 171.977,-56.8788 174.233,-49.5414 174.233,-49.5414\" stroke=\"black\"/>\n",
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"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"160.5\" y=\"-88.8\">1</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"157\" y=\"-73.8\">❶</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>"
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],
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"text/plain": [
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"<IPython.core.display.SVG object>"
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]
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},
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"execution_count": 21,
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|
"metadata": {},
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|
"output_type": "execute_result"
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|
}
|
|
],
|
|
"source": [
|
|
"aut = spot.translate('(b W Xa) & GF(c <-> Xb) | a', 'generic', 'det')\n",
|
|
"spot.highlight_languages(aut)\n",
|
|
"aut.show('.bas')"
|
|
]
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|
}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.4+"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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