game: rewrite, document, and rename solve_reachability_game
* spot/twaalgos/game.hh, spot/twaalgos/game.cc: Rename solve_reachability_game() as solve_safety_game(), rewrite it (the old implementation incorrectly marked dead states as winning for their owner). * tests/python/paritygame.ipynb: Rename as... * tests/python/games.ipynb: ... this, and illustrate solve_safety_game(). * tests/Makefile.am, NEWS, doc/org/tut.org: Adjust. * tests/python/except.py: Add more tests.
This commit is contained in:
Alexandre Duret-Lutz
parent
05449a42d3
commit
9a17f5676c
7 changed files with 784 additions and 87 deletions
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@ -196,24 +196,39 @@ assert spot.is_deterministic(a2)
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try:
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spot.product_xor(a1, a2)
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except RuntimeError as e:
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assert "product_xor() only works with deterministic automata"
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assert "product_xor() only works with deterministic automata" in str(e)
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else:
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report_missing_exception()
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try:
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spot.product_xor(a2, a1)
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except RuntimeError as e:
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assert "product_xor() only works with deterministic automata"
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assert "product_xor() only works with deterministic automata" in str(e)
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else:
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report_missing_exception()
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try:
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spot.product_xnor(a1, a2)
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except RuntimeError as e:
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assert "product_xnor() only works with deterministic automata"
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assert "product_xnor() only works with deterministic automata" in str(e)
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else:
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report_missing_exception()
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try:
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spot.product_xnor(a2, a1)
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except RuntimeError as e:
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assert "product_xnor() only works with deterministic automata"
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assert "product_xnor() only works with deterministic automata" in str(e)
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else:
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report_missing_exception()
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try:
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spot.solve_safety_game(a1)
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except RuntimeError as e:
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assert "solve_safety_game(): arena should have true acceptance" in str(e)
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else:
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report_missing_exception()
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try:
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spot.solve_parity_game(a1)
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except RuntimeError as e:
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assert "solve_parity_game(): arena must have max-odd acceptance condition" \
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in str(e)
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else:
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report_missing_exception()
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@ -7,6 +7,7 @@
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"outputs": [],
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"source": [
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"import spot\n",
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"from buddy import bddtrue\n",
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"spot.setup()"
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]
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},
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@ -14,14 +15,653 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Support for parity games\n",
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"# Support for games\n",
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"\n",
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"The support for parity games is currently quite rudimentary, as Spot currently only uses those games in `ltlsynt`.\n",
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"The support for games is currently quite rudimentary, as Spot currently only uses those games in `ltlsynt`.\n",
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"\n",
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"In essence, a parity game is just a parity automaton with a property named `state-player` that stores the player owning each state. The players are named 0 and 1.\n",
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"In essence, agame is just an ω-automaton with a property named `state-player` that stores the player owning each state. The players are named 0 and 1. The player owning a state can decide what the next transition from this state should be. The goal for player 1 is to force the play to be infinite and to satisfy the acceptance condition of the automaton, while the goal for player 0 is to prevent it by either forcing a finite play, or forcing an infinite play that does not satisfy the acceptance condition.\n",
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"\n",
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"Player 1 is winning if it has a strategy to satisfy the acceptance condition regardless of player 0's moves.\n",
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"Player 0 is winning if it has a strategy to not satisfy the acceptance codition regardless of player 1's moves."
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"The support is currently restricted to games that use:\n",
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"- `t` acceptance: all infinite run are accepting, and player 0 can only win if it manages to force a finite play (this requires reaching states without successors).\n",
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"- max odd parity acceptance: player 0 can win if the maximal value seen infinitely often is even"
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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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"# Creating games from scratch\n",
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"\n",
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"Games can be [created like any automaton](https://spot.lrde.epita.fr/tut22.html). \n",
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"Using `set_state_players()` will fix the state owners."
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]
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"text/plain": [
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]
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||||
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||||
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||||
"output_type": "execute_result"
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||||
}
|
||||
],
|
||||
"source": [
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||||
"bdict = spot.make_bdd_dict();\n",
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"game = spot.make_twa_graph(bdict)\n",
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"game.new_states(9)\n",
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"for (s, d) in ((0,1), (0, 3), \n",
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" (1, 0), (1, 2),\n",
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" (2, 1), (2, 5),\n",
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" (3, 2), (3, 4), (3, 6),\n",
|
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" (6, 7),\n",
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" (7, 6), (7, 8),\n",
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" (8, 5)):\n",
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" game.new_edge(s, d, bddtrue)\n",
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"spot.set_state_players(game, [True, False, True, False, True, True, True, False, False])\n",
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"game.show('.g') # Use \"g\" to hide the irrelevant edge labels."
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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 `set_state_players()` function takes a list of owner for each of the states in the automaton. In the output,\n",
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"states from player 0 use circles, ellispes, or rectangle with rounded corners (mnemonic: 0 is round) while states from player 1 have a losanse shape (1 has only straight lines). \n",
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"\n",
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"\n",
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"State ownership can also be manipulated by the following functions:"
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]
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},
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{
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(True, False, True, False, True, True, True, False, False)"
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]
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},
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}
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],
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"source": [
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"spot.get_state_players(game)"
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||||
]
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},
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{
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"cell_type": "code",
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"text/plain": [
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]
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},
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"execution_count": 7,
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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.highlight_strategy(game)\n",
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"game.show('.g')"
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]
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},
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{
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@ -35,7 +675,7 @@
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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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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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@ -272,10 +912,10 @@
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"</svg>\n"
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],
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]
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},
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"execution_count": 8,
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"metadata": {},
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"output_type": "execute_result"
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}
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@ -296,7 +936,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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@ -353,19 +993,12 @@
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Solving games"
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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 `solve_parity_game()` function returns the player winning from the initial state (`False` for player 0, and `True` for player 1)."
|
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"Here is the solution of this particular game."
|
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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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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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|
|
@ -374,7 +1007,7 @@
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"True"
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]
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},
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"execution_count": 4,
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"execution_count": 10,
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"metadata": {},
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"output_type": "execute_result"
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}
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|
|
@ -383,18 +1016,9 @@
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"spot.solve_parity_game(game)"
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]
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},
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{
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"source": [
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"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)."
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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": 5,
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"execution_count": 11,
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"metadata": {},
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"outputs": [
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{
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@ -631,10 +1255,10 @@
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"</svg>\n"
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],
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"execution_count": 11,
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"metadata": {},
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}
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|
|
@ -642,6 +1266,13 @@
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"source": [
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"spot.highlight_strategy(game)"
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]
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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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@ -660,7 +1291,7 @@
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"version": "3.9.1rc1"
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},
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"nbformat": 4,
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Loading…
Add table
Add a link
Reference in a new issue