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game: reimplement parity game solving

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* spot/misc/game.cc, spot/misc/game.hh: More efficient implementation
of Zielonka's algorithm to solve parity games.  Now supports SCC
decomposition and efficient handling of certain special cases.
* doc/org/concepts.org: Document "strategy" and "state-winner"
properties.
* bin/ltlsynt.cc, tests/python/paritygame.ipynb: Adjust.
* tests/core/ltlsynt.test: Add more tests.
This commit is contained in:
philipp 2020-09-22 20:45:34 +02:00 • committed by Alexandre Duret-Lutz
parent f6ac69d0d2
commit 133896d584
6 changed files with 870 additions and 528 deletions
Download patch file Download diff file Expand all files Collapse all files

33
tests/core/ltlsynt.test
View file

@ -23,6 +23,27 @@
set -e
cat >exp <<EOF
parity 19;
0 1 0 8,9 "INIT";
9 3 1 1,2;
2 1 0 12,13;
13 5 1 1,4;
4 1 0 8,15;
15 3 1 5,6;
6 1 0 8,15;
8 3 1 2;
5 1 0 16,17;
17 4 1 5,6;
16 4 1 2;
1 1 0 10,11;
11 4 1 5,7;
7 1 0 18,19;
19 3 1 5,7;
18 3 1 2,3;
3 1 0 10,14;
14 4 1 1,4;
10 4 1 2,3;
12 5 1 2,3;
parity 16;
0 1 0 1,2 "INIT";
2 1 1 3;
@ -41,8 +62,18 @@ parity 16;
14 1 1 10,16;
16 1 0 14,15;
1 1 1 3,6;
parity 4;
3 2 0 1,4 "INIT";
4 3 1 0,3;
0 1 0 1,2;
2 1 1 0,0;
1 2 1 3,3;
EOF
ltlsynt --ins=a --outs=b -f 'GFa <-> GFb' --print-pg >out
: > out
for algo in ds sd lar; do
ltlsynt --ins=a --outs=b -f 'GFa <-> GFb' --algo=$algo --print-pg >>out
done
diff out exp
cat >exp <<EOF

303
tests/python/paritygame.ipynb
View file

@ -272,7 +272,7 @@
"</svg>\n"
],
"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fcb3c55f9f0> >"
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f9bf8477330> >"
]
},
"execution_count": 2,
@ -360,29 +360,13 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"The `parity_game_solve()` function returns a `solved_game` object."
"The `solve_parity_game()` function returns the player winning from the initial state (`False` for player 0, and `True` for player 1)."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"sol = spot.parity_game_solve(game)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The solved game can be queried to know if a player is winning when the game starts in some given."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
@ -390,283 +374,27 @@
"True"
]
},
"execution_count": 5,
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sol.player_winning_at(1, game.get_init_state_number())"
"spot.solve_parity_game(game)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calling the `highlight_strategy` method will decorate the original game with colors showing the winning region (states from which a player has a strategy to win), and strategy (which transition should be used for each winning state owned by that player) of a given player. Let's paint the strategy of player 1 in green (color 4) for this example:"
"Additional information about the player winning in each state, and the strategy have been stored in the automaton but are not displayed by default.\n",
"\n",
"Calling the `highlight_strategy` function will decorate the game's automaton with colors showing the winning regions (states from which a player has a strategy to win), and strategy (which transition should be used for each winning state owned by that player) of a given player. Here green corresponds to player 1 (who tries to satisfy the acceptance condition), and red to player 0 (who tries not to)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
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]
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{
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]
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