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add intersection checks between words and automata

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Several people have asked for a way to check whether a word is
accepted by an automaton, including at least Jonah Romero and Scott
Buckley.  So it's time we have it.

* spot/twa/twa.hh, spot/twa/twa.cc,
spot/twaalgos/word.hh (intersects): Add the new variant.
* spot/twa/fwd.hh: Forward declare twa_word, so that
we can use it in twa.hh.
* spot/twaalgos/forq_contains.cc: Use the new intersection check.
* tests/python/word.ipynb, NEWS: Mention it.
* THANKS: Add Scott Buckley.
This commit is contained in:
Alexandre Duret-Lutz 2024-02-29 16:54:14 +01:00
parent 83cabfa6f9
commit 60f046a574
8 changed files with 78 additions and 12 deletions
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49
tests/python/word.ipynb
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@ -307,7 +307,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f8f5c19e5e0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f1f80568c60> >"
]
},
"execution_count": 2,
@ -405,7 +405,7 @@
"$\\lnot a; \\lnot a; \\mathsf{cycle}\\{a \\land b; \\lnot a \\land b\\}$"
],
"text/plain": [
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f8f5c19e040> >"
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f1f805686f0> >"
]
},
"execution_count": 5,
@ -530,7 +530,7 @@
"$\\lnot a; \\mathsf{cycle}\\{\\lnot a \\land b; a \\land b\\}$"
],
"text/plain": [
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f8f5c19f8d0> >"
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f1f8060d770> >"
]
},
"execution_count": 9,
@ -581,7 +581,7 @@
"$a; a \\land b; \\mathsf{cycle}\\{\\lnot a \\land \\lnot b; \\lnot a \\land b\\}$"
],
"text/plain": [
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f8f5c19e250> >"
"<spot.twa_word; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_word > *' at 0x7f1f8060df80> >"
]
},
"execution_count": 11,
@ -790,7 +790,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f8f5c19fab0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f1f8060d800> >"
]
},
"execution_count": 13,
@ -801,6 +801,43 @@
"source": [
"w.as_automaton()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To check if a word is accepted by an automaton, you can use `intersects`. The name `intersects` actually makes more sense than `accepts` or `accepted`, because a word actually describes a set of words because of the don't care atomic propositions."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"False\n",
"False\n",
"True\n",
"True\n"
]
}
],
"source": [
"print(w.intersects(aut))\n",
"print(aut.intersects(w))\n",
"print(word.intersects(aut))\n",
"print(aut.intersects(word))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
@ -819,7 +856,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.7"
"version": "3.11.8"
}
},
"nbformat": 4,