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acc: introduce top_conjuncts() and top_disjuncts()

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* spot/twa/acc.cc, spot/twa/acc.hh: Add the new functions.
* python/spot/impl.i: Add bindings.
* tests/python/acc_cond.ipynb: Add tests.
* NEWS: Mention it.
This commit is contained in:
Alexandre Duret-Lutz 2019-03-22 13:50:05 +01:00
parent 55c50c65c8
commit 510a18b156
5 changed files with 202 additions and 73 deletions
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177
tests/python/acc_cond.ipynb
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@ -821,14 +821,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"# `acc_cond`\n",
"\n",
"Automata store their acceptance condition as an instance of the `acc_cond` class.\n",
"This class can be thought of as a pair `(n, code)`, where `n` is an integer that tells how many acceptance sets are used, while the `code` is an instance of `acc_code` and encodes the formula over *a subset* of these acceptance sets. We usually have `n == code.used_sets().max_set())`, but `n` can be larger.\n",
"\n",
"It is OK if an automaton declares that is uses 3 sets, even if the acceptance condition formula only uses set number 1. The extra two sets will have no impact on the language, even if they are used in the automaton.\n",
"\n",
"The `acc_cond` objects are usually not created by hand: automata have dedicated methods for that. But for the purpose of this notebook, let's do it:"
"If the top-level operators is a conjunct or disjunct, the following methods returns lists of clauses."
]
},
{
@ -837,26 +830,40 @@
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"spot.acc_cond(4, \"(Fin(0) & Inf(1)) | (Fin(2) & Inf(3))\")"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
"name": "stdout",
"output_type": "stream",
"text": [
"spot.acc_code(\"(Fin(0)|Fin(3)) | (Inf(1) & Fin(2))\")\n",
"(spot.acc_code(\"Fin(0)\"), spot.acc_code(\"Fin(3)\"), spot.acc_code(\"Inf(1) & Fin(2)\"))\n",
"spot.acc_code(\"(Inf(0)&Inf(1)) & (Fin(2)|Fin(3))\")\n",
"(spot.acc_code(\"Inf(0)\"), spot.acc_code(\"Inf(1)\"), spot.acc_code(\"Fin(2)|Fin(3)\"))\n",
"(spot.acc_code(\"(Inf(0)&Inf(1)) & (Fin(2)|Fin(3))\"),)\n"
]
}
],
"source": [
"acc = spot.acc_cond(4, spot.acc_code('Rabin 2'))\n",
"acc"
"c = spot.acc_code('Fin(0)|(Inf(1)&Fin(2))|Fin(3)')\n",
"print(repr(c))\n",
"print(c.top_disjuncts())\n",
"c = spot.acc_code('Inf(0)&Inf(1)&(Fin(2)|Fin(3))')\n",
"print(repr(c))\n",
"print(c.top_conjuncts())\n",
"# Nothing to split here as the top operator is not a disjunction\n",
"print(c.top_disjuncts())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For convenience, you can pass the string directly:"
"# `acc_cond`\n",
"\n",
"Automata store their acceptance condition as an instance of the `acc_cond` class.\n",
"This class can be thought of as a pair `(n, code)`, where `n` is an integer that tells how many acceptance sets are used, while the `code` is an instance of `acc_code` and encodes the formula over *a subset* of these acceptance sets. We usually have `n == code.used_sets().max_set())`, but `n` can be larger.\n",
"\n",
"It is OK if an automaton declares that is uses 3 sets, even if the acceptance condition formula only uses set number 1. The extra two sets will have no impact on the language, even if they are used in the automaton.\n",
"\n",
"The `acc_cond` objects are usually not created by hand: automata have dedicated methods for that. But for the purpose of this notebook, let's do it:"
]
},
{
@ -876,10 +883,17 @@
}
],
"source": [
"acc = spot.acc_cond(4, 'Rabin 2')\n",
"acc = spot.acc_cond(4, spot.acc_code('Rabin 2'))\n",
"acc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For convenience, you can pass the string directly:"
]
},
{
"cell_type": "code",
"execution_count": 35,
@ -888,7 +902,7 @@
{
"data": {
"text/plain": [
"4"
"spot.acc_cond(4, \"(Fin(0) & Inf(1)) | (Fin(2) & Inf(3))\")"
]
},
"execution_count": 35,
@ -897,7 +911,8 @@
}
],
"source": [
"acc.num_sets()"
"acc = spot.acc_cond(4, 'Rabin 2')\n",
"acc"
]
},
{
@ -908,7 +923,7 @@
{
"data": {
"text/plain": [
"spot.acc_code(\"(Fin(0) & Inf(1)) | (Fin(2) & Inf(3))\")"
"4"
]
},
"execution_count": 36,
@ -916,6 +931,26 @@
"output_type": "execute_result"
}
],
"source": [
"acc.num_sets()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"spot.acc_code(\"(Fin(0) & Inf(1)) | (Fin(2) & Inf(3))\")"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acc.get_acceptance()"
]
@ -929,7 +964,7 @@
},
{
"cell_type": "code",
"execution_count": 37,
"execution_count": 38,
"metadata": {},
"outputs": [
{
@ -938,7 +973,7 @@
"spot.acc_cond(4, \"t\")"
]
},
"execution_count": 37,
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
@ -950,7 +985,7 @@
},
{
"cell_type": "code",
"execution_count": 38,
"execution_count": 39,
"metadata": {},
"outputs": [
{
@ -959,7 +994,7 @@
"spot.acc_cond(6, \"t\")"
]
},
"execution_count": 38,
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
@ -971,7 +1006,7 @@
},
{
"cell_type": "code",
"execution_count": 39,
"execution_count": 40,
"metadata": {},
"outputs": [
{
@ -980,7 +1015,7 @@
"spot.acc_cond(6, \"(Fin(0) | Inf(1)) & (Fin(2) | Inf(3))\")"
]
},
"execution_count": 39,
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
@ -997,34 +1032,6 @@
"Calling the constructor of `acc_cond` by passing just an instance of `acc_code` (or a string that will be passed to the `acc_code` constructor) will automatically set the number of acceptance sets to the minimum needed by the formula:"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"spot.acc_cond(4, \"(Fin(0) | Inf(1)) & (Fin(2) | Inf(3))\")"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acc = spot.acc_cond('Streett 2')\n",
"acc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above is in fact just syntactic sugar for:"
]
},
{
"cell_type": "code",
"execution_count": 41,
@ -1041,6 +1048,34 @@
"output_type": "execute_result"
}
],
"source": [
"acc = spot.acc_cond('Streett 2')\n",
"acc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above is in fact just syntactic sugar for:"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"spot.acc_cond(4, \"(Fin(0) | Inf(1)) & (Fin(2) | Inf(3))\")"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"code = spot.acc_code('Streett 2')\n",
"acc = spot.acc_cond(code.used_sets().max_set(), code)\n",
@ -1056,7 +1091,7 @@
},
{
"cell_type": "code",
"execution_count": 42,
"execution_count": 43,
"metadata": {},
"outputs": [
{
@ -1065,7 +1100,7 @@
"spot.acc_cond(4, \"Inf(0)&Inf(1)&Inf(2)&Inf(3)\")"
]
},
"execution_count": 42,
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
@ -1085,7 +1120,7 @@
},
{
"cell_type": "code",
"execution_count": 43,
"execution_count": 44,
"metadata": {},
"outputs": [
{
@ -1118,7 +1153,7 @@
},
{
"cell_type": "code",
"execution_count": 44,
"execution_count": 45,
"metadata": {},
"outputs": [
{
@ -1147,7 +1182,7 @@
},
{
"cell_type": "code",
"execution_count": 45,
"execution_count": 46,
"metadata": {},
"outputs": [
{
@ -1179,7 +1214,7 @@
},
{
"cell_type": "code",
"execution_count": 46,
"execution_count": 47,
"metadata": {},
"outputs": [
{
@ -1209,7 +1244,7 @@
},
{
"cell_type": "code",
"execution_count": 47,
"execution_count": 48,
"metadata": {},
"outputs": [
{
@ -1234,7 +1269,7 @@
},
{
"cell_type": "code",
"execution_count": 48,
"execution_count": 49,
"metadata": {},
"outputs": [
{
@ -1243,7 +1278,7 @@
"spot.mark_t([0, 1, 2, 3])"
]
},
"execution_count": 48,
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
@ -1262,7 +1297,7 @@
},
{
"cell_type": "code",
"execution_count": 49,
"execution_count": 50,
"metadata": {},
"outputs": [
{
@ -1292,7 +1327,7 @@
},
{
"cell_type": "code",
"execution_count": 50,
"execution_count": 51,
"metadata": {},
"outputs": [
{
@ -1311,7 +1346,7 @@
},
{
"cell_type": "code",
"execution_count": 51,
"execution_count": 52,
"metadata": {},
"outputs": [
{
@ -1331,7 +1366,7 @@
},
{
"cell_type": "code",
"execution_count": 52,
"execution_count": 53,
"metadata": {},
"outputs": [
{
@ -1366,7 +1401,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
"version": "3.7.3rc1"
}
},
"nbformat": 4,