ae0e84ac9e
Fixes #262 again. Reported by Maximilien Colange. * spot/twaalgos/simulation.cc: Use state numbers to order classes, not their signatures. The problem was that even if two simulation of the same automaton assign the same signature, the BDD identifier used for that signature might be different, and therefore the ordering obtained by using BDDs as keys in a map can be different. A side-effect of this change is that the order of states in automata produced by simulation-based reduction may change; many tests had to be updated. * tests/core/ltl2tgba.test: Add a new test case based on Maximilien's report. * tests/core/complement.test, tests/core/det.test, tests/core/parseaut.test, tests/core/prodor.test, tests/python/atva16-fig2a.ipynb, tests/python/automata.ipynb, tests/python/decompose.ipynb, tests/python/highlighting.ipynb, tests/python/piperead.ipynb, tests/python/testingaut.ipynb, tests/python/word.ipynb: Update test cases for new order of states.
682 lines
31 KiB
Text
682 lines
31 KiB
Text
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"import spot\n",
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"spot.setup()"
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{
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"source": [
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"Let's build a small automaton to use as example."
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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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"Build an accepting run:"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"run = aut.accepting_run(); run"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"text": [
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"Prefix:\n",
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" 0\n",
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" | a\n",
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" 1\n",
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" | a\n",
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"Cycle:\n",
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" 3\n",
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" | a & b\t{0}"
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]
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}
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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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"Accessing the contents of the run can be done via the `prefix` and `cycle` lists."
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"print(spot.bdd_format_formula(aut.get_dict(), run.prefix[0].label))\n",
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"print(run.cycle[0].acc)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"a\n",
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"{0}\n"
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]
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}
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],
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},
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{
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|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To convert the run into a word, using `spot.twa_word()`. Note that our runs are labeled by Boolean formulas that are not necessarily a conjunction of all involved litterals. The word is just the projection of the run on its labels."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"word = spot.twa_word(run); word"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 5,
|
|
"text": [
|
|
"a; a; cycle{a & b}"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 5
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Accessing the different formulas (stored as BDDs) can be done again via the `prefix` and `cycle` lists."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.bdd_format_formula(aut.get_dict(), word.prefix[0]))\n",
|
|
"print(spot.bdd_format_formula(aut.get_dict(), word.prefix[1]))\n",
|
|
"print(spot.bdd_format_formula(aut.get_dict(), word.cycle[0]))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"a\n",
|
|
"a\n",
|
|
"a & b\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 6
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Calling `simplifify()` will produce a shorter word that is compatible with the original word. For instance in the above word, the initial `a` is compatible with both `a & b` and `a & !b`. The word obtained by restricting `a` to `a & b` is therefore still accepted, allowing us to remove the prefix."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"word.simplify()\n",
|
|
"word"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 7,
|
|
"text": [
|
|
"cycle{a & b}"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 7
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Such a simplified word can be created directly from the automaton:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"aut.accepting_word()"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 8,
|
|
"text": [
|
|
"cycle{a & b}"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 8
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Words can be created using the `parse_word` function:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.parse_word('a; b; cycle{a&b}'))\n",
|
|
"print(spot.parse_word('cycle{a&bb|bac&(aaa|bbb)}'))\n",
|
|
"print(spot.parse_word('a; b;b; qiwuei;\"a;b&c;a\" ;cycle{a}'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"a; b; cycle{a & b}\n",
|
|
"cycle{(a & bb) | (aaa & bac) | (bac & bbb)}\n",
|
|
"a; b; b; qiwuei; \"a;b&c;a\"; cycle{a}\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 9
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# make sure that we can parse a word back after it has been printed\n",
|
|
"spot.parse_word(str(spot.parse_word('a;b&a;cycle{!a&!b}')))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 10,
|
|
"text": [
|
|
"a; a & b; cycle{!a & !b}"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 10
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Words can be easily converted as automata"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"w1 = spot.parse_word('a; !a; cycle{a; !a; a}')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 11
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"w1.as_automaton()"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 12,
|
|
"svg": [
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"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
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"<!-- Title: G Pages: 1 -->\n",
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"<g id=\"edge5\" class=\"edge\"><title>3->4</title>\n",
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"</g>\n",
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],
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"text": [
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"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fdf783f0e40> >"
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]
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}
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],
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"prompt_number": 12
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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 rest of this pages tests some syntax errors, you (humans) may skip it, but the test suite will not."
|
|
]
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|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.parse_word('a; b&!a; b'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "SyntaxError",
|
|
"evalue": "\n>>> a; b&!a; b\n ^\nA twa_word must contain a cycle\n (<string>)",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; b&!a; b\n ^\nA twa_word must contain a cycle\n\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 13
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.parse_word('a; b; c}'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "SyntaxError",
|
|
"evalue": "\n>>> a; b; c}\n ^\nExpected ';' delimiter: '}' stands for ending a cycle\n (<string>)",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; b; c}\n ^\nExpected ';' delimiter: '}' stands for ending a cycle\n\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 14
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.parse_word('a; cycle{}'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "SyntaxError",
|
|
"evalue": "\n>>> a; cycle{}\n ^\nempty input\n\n (<string>)",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; cycle{}\n ^\nempty input\n\n\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 15
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print(spot.parse_word('a; cycle{!a}; a'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "SyntaxError",
|
|
"evalue": "\n>>> a; cycle{!a}; a\n ^\nInput should be finished after cycle\n (<string>)",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32munknown\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m \n>>> a; cycle{!a}; a\n ^\nInput should be finished after cycle\n\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 16
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Creating an empty word is OK...\n",
|
|
"w = spot.twa_word(spot._bdd_dict)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 17
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# ... as long as this word is not printed.\n",
|
|
"print(w)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "RuntimeError",
|
|
"evalue": "a twa_word may not have an empty cycle",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)",
|
|
"\u001b[0;32m<ipython-input-18-971829bb8f5f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# ... as long as this word is not printed.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[0;32m/home/adl/git/spot/python/spot/impl.py\u001b[0m in \u001b[0;36m__str__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 4160\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4161\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__str__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;34m\"std::string\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 4162\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_impl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtwa_word___str__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4163\u001b[0m \u001b[0mtwa_word_swigregister\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_impl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtwa_word_swigregister\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4164\u001b[0m \u001b[0mtwa_word_swigregister\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtwa_word\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;31mRuntimeError\u001b[0m: a twa_word may not have an empty cycle"
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]
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}
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],
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"prompt_number": 18
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}
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],
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"metadata": {}
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}
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]
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}
|