febbe5c2e3
* spot/twaalgos/remfin.cc, spot/twaalgos/remfin.hh: Implement it. * tests/python/tra2tba.py: Test it. * NEWS: Mention it.
658 lines
9.9 KiB
Python
658 lines
9.9 KiB
Python
# -*- mode: python; coding: utf-8 -*-
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# Copyright (C) 2016-2018, 2020 Laboratoire de Recherche et Développement
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# de l'Epita
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#
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# This file is part of Spot, a model checking library.
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#
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# Spot is free software; you can redistribute it and/or modify it
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# under the terms of the GNU General Public License as published by
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# the Free Software Foundation; either version 3 of the License, or
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# (at your option) any later version.
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#
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# Spot is distributed in the hope that it will be useful, but WITHOUT
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# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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# License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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import spot
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# Test 1.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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AP: 2 "a" "b"
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Acceptance: 2 (Fin(0) & Inf(1))
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--BODY--
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State: 0
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[!0] 0 {1}
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[0] 1
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State: 1
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[0] 1 {0}
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--END--
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""")
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exp = """HOA: v1
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States: 2
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Start: 0
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AP: 2 "a" "b"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc deterministic
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--BODY--
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State: 0
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[!0] 0 {0}
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[0] 1
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State: 1
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[0] 1
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 2.
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aut = spot.automaton("""
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HOA: v1
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States: 3
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Start: 0
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AP: 1 "a"
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Acceptance: 2 (Inf(1) & Fin(0))
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--BODY--
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State: 0
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[!0] 0 {0}
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[0] 1
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State: 1
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[0] 2 {}
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State: 2
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[!0] 1 {}
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[0] 2 {1}
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--END--
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""")
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exp = """HOA: v1
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States: 3
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Start: 0
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AP: 1 "a"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc deterministic
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--BODY--
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State: 0
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[!0] 0
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[0] 1
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State: 1
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[0] 2
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State: 2
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[!0] 1
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[0] 2 {0}
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 3.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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AP: 2 "a" "b"
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Acceptance: 4 (Fin(0) & Inf(1)) | (Fin(2) & Inf(3))
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--BODY--
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State: 0
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[!0] 0 {0}
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[0] 1
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State: 1
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[0] 1 {2}
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--END--
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""")
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exp = """HOA: v1
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States: 1
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Start: 0
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AP: 0
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acc-name: all
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Acceptance: 0 t
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properties: trans-labels explicit-labels state-acc deterministic
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properties: stutter-invariant weak
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--BODY--
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State: 0
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 4.
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aut = spot.automaton("""
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HOA: v1
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States: 3
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Start: 0
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Acceptance: 4 (Fin(0) & Inf(1)) | (Fin(2) & Inf(3))
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[0 & 1] 0 {0 2}
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[!0] 1
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[!1] 2
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State: 1
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[t] 1 {1}
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State: 2
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[t] 2 {3}
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--END--
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""")
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exp = """HOA: v1
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States: 3
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Start: 0
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AP: 2 "a" "b"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc complete
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--BODY--
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State: 0
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[0&1] 0
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[!0] 1
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[!1] 2
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State: 1 {0}
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[t] 1
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State: 2 {0}
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[t] 2
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 5.
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aut = spot.automaton("""
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HOA: v1
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States: 4
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Start: 0
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Acceptance: 6 (Fin(0) & Inf(1)) | (Fin(2) & Inf(3)) | (Fin(4) & Inf(5))
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AP: 3 "a" "b" "c"
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--BODY--
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State: 0
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[0 & 1 &2] 0 {0 2 4}
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[!0] 1
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[!1] 2
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[!2] 3
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State: 1
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[t] 1 {1}
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State: 2
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[t] 2 {3}
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State: 3
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[t] 3 {5}
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--END--
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""")
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exp = """HOA: v1
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States: 4
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Start: 0
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AP: 3 "a" "b" "c"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc complete
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--BODY--
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State: 0
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[0&1&2] 0
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[!0] 1
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[!1] 2
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[!2] 3
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State: 1 {0}
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[t] 1
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State: 2 {0}
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[t] 2
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State: 3 {0}
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[t] 3
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 6.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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Acceptance: 4 Fin(0)&Inf(1) | Fin(2)&Inf(3)
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AP: 2 "p3" "p2"
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--BODY--
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State: 1 "F(Gp3|GFp2)"
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[0&1] 1 {1 3 }
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[0&!1] 0 {1 3 }
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[!0&1] 1 {1 2 3 }
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[!0&!1] 0 {1 2 3 }
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State: 0 "F(Gp3|GFp2)"
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[0&1] 1 {3 }
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[0&!1] 0 {3 }
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[!0&1] 1 {2 3 }
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[!0&!1] 0 {2 3 }
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--END--
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""")
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exp = """HOA: v1
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States: 4
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Start: 0
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AP: 2 "p3" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[!1] 0
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[1] 1
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[0&!1] 2
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State: 1 {0}
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[!1] 0
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[1] 1
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[0&!1] 2
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[0&1] 3
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State: 2 {0}
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[0&!1] 2
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[0&1] 3
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State: 3 {0}
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[0&!1] 2
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[0&1] 3
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 7.
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aut = spot.automaton("""
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HOA: v1
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name: "FG(a)"
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properties: deterministic
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properties: complete
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States: 1
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Start: 0
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Acceptance: 2 Fin(0)&Inf(1)
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AP: 1 "a"
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--BODY--
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State: 0 "FG(a)"
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[0] 0 {1 }
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[!0] 0 {0 1 }
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--END--
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""")
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exp = """HOA: v1
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States: 2
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Start: 0
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AP: 1 "a"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[t] 0
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[0] 1
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State: 1 {0}
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[0] 1
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 8.
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aut = spot.automaton("""
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HOA: v1
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States: 7
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Start: 0
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Acceptance: 4 Fin(0)&Inf(1) | Fin(2)&Inf(3)
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AP: 3 "p0" "p2" "p3"
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--BODY--
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State: 1 "0"
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[t] 1 {1 }
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State: 5 "1"
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[0&2] 5 {0 1 3 }
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[0&!2] 6 {0 1 3 }
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[!0&2] 3 {0 1 2 3 }
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[!0&!2] 4 {0 1 2 3 }
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State: 0 "2"
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[!0&1&2] 3 {0 1 2 }
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[(0&!1&!2|!0&1&!2)] 4 {0 1 2 }
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[(0&1|!0&!1)] 1 {0 1 2 }
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[0&!1&2] 2 {0 1 2 }
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State: 2 "3"
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[0&2] 5 {0 1 }
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[0&!2] 6 {0 1 }
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[!0&2] 3 {0 1 2 }
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[!0&!2] 4 {0 1 2 }
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State: 4 "4"
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[t] 4 {0 1 2 }
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State: 6 "5"
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[0] 6 {0 1 3 }
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[!0] 4 {0 1 2 3 }
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State: 3 "6"
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[0&2] 2 {0 1 2 }
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[!0&2] 3 {0 1 2 }
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[!2] 4 {0 1 2 }
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--END--
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""")
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exp = """HOA: v1
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States: 8
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Start: 0
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AP: 3 "p0" "p2" "p3"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc
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--BODY--
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State: 0
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[!0&!1 | 0&1] 1
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[0&!1&2] 2
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[!0&1&2] 3
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[!0&1&!2 | 0&!1&!2] 4
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State: 1
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[t] 1 {0}
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State: 2
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[!0&2] 3
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[!0&!2] 4
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[0&2] 5
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[0&!2] 6
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State: 3
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[0&2] 2
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[!0&2] 3
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[!2] 4
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State: 4
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[t] 4
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State: 5
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[!0&2] 3
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[!0&!2] 4
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[0&2] 5
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[0&!2] 6
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[0&2] 7
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State: 6
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[!0] 4
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[0] 6 {0}
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State: 7
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[0&2] 7 {0}
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 9.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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AP: 3 "p0" "p4" "p1"
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Acceptance: 4 (Fin(0) & Inf(1)) | (Fin(2) & Inf(3))
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--BODY--
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State: 0
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[0&!2] 1 {0 1 3}
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[!0&!2] 0 {0 1 3}
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State: 1
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[0&!2] 1 {0 1}
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[!0&!2] 0 {0 1}
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--END--
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""")
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exp = """HOA: v1
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States: 2
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Start: 0
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AP: 3 "p4" "p0" "p1"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc deterministic
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--BODY--
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State: 0 {0}
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[1&!2] 1
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[!1&!2] 0
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State: 1
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[1&!2] 1
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[!1&!2] 0
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 10.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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acc-name: Rabin 1
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Acceptance: 2 Fin(0)&Inf(1)
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AP: 2 "p0" "p2"
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--BODY--
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State: 0 "0"
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[0&1] 0 {1 }
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[!0&1] 1 {1 }
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[0&!1] 0 {0 1 }
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State: 1 "1"
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[1] 1 {1 }
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--END--
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""")
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exp = """HOA: v1
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States: 3
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Start: 0
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AP: 2 "p0" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[0] 0
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[!0&1] 1
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[0&1] 2
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State: 1 {0}
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[1] 1
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State: 2 {0}
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[0&1] 2
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 11.
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aut = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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Acceptance: 4 Fin(0)&Inf(1) | Fin(2)&Inf(3)
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AP: 2 "p2" "p0"
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--BODY--
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State: 1 "1"
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[1] 1 {1 2 3 }
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[!1] 0 {1 3 }
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State: 0 "3"
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[1] 1 {2 3 }
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[!1] 0 {3 }
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--END--
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""")
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exp = """HOA: v1
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States: 2
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Start: 0
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AP: 2 "p0" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic
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--BODY--
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State: 0
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[!0] 0 {0}
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[0] 1
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State: 1
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[!0] 0 {0}
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[0] 1 {0}
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Different order for rabin_to_buchi_if_realizable() due to merge_edges() not
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# being called. This is on purpose: the edge order should match exactly the
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# original automaton.
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exp2 = """HOA: v1
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States: 2
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Start: 0
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AP: 2 "p0" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic
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--BODY--
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State: 0
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[0] 1
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[!0] 0 {0}
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State: 1
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[0] 1 {0}
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[!0] 0 {0}
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--END--"""
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res = spot.rabin_to_buchi_if_realizable(aut)
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assert(res.to_str('hoa') == exp2)
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# Test 12.
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aut = spot.automaton("""
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HOA: v1
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properties: deterministic
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properties: complete
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States: 2
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Start: 0
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Acceptance: 3 Fin(0) | Fin(1)&Inf(2)
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AP: 2 "p2" "p0"
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--BODY--
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State: 1 "1"
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[1] 1 {0 1 2}
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[!1] 0 {0 2}
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State: 0 "3"
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[1] 1 {1 2}
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[!1] 0 {2}
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--END--
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""")
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exp = """HOA: v1
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States: 4
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Start: 0
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AP: 2 "p0" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[!0] 0
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[0] 1
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[!0] 2
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[!0] 3
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State: 1
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[!0] 0
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[0] 1
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[!0] 3
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State: 2 {0}
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[!0] 2
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State: 3 {0}
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[!0] 3
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--END--"""
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res = spot.remove_fin(aut)
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assert(res.to_str('hoa') == exp)
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# Test 13.
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aut = spot.automaton("""
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HOA: v1
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properties: deterministic
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properties: complete
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States: 2
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Start: 0
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Acceptance: 3 Inf(0) | Fin(1)&Inf(2)
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AP: 2 "p3" "p2"
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--BODY--
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State: 1 "F(Gp3|GFp2)"
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[0&1] 1 {0 2}
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[0&!1] 0 {0}
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|
[!0&1] 1 {0 1 2}
|
|
[!0&!1] 0 {0 1 2}
|
|
State: 0 "F(Gp3|GFp2)"
|
|
[0&1] 1 {2}
|
|
[0&!1] 0 {0}
|
|
[!0&1] 1 {}
|
|
[!0&!1] 0 {2}
|
|
--END--
|
|
""")
|
|
|
|
exp = """HOA: v1
|
|
States: 2
|
|
Start: 0
|
|
AP: 2 "p3" "p2"
|
|
acc-name: Buchi
|
|
Acceptance: 1 Inf(0)
|
|
properties: trans-labels explicit-labels trans-acc complete
|
|
properties: deterministic
|
|
--BODY--
|
|
State: 0
|
|
[!1] 0 {0}
|
|
[1] 1
|
|
State: 1
|
|
[!1] 0 {0}
|
|
[1] 1 {0}
|
|
--END--"""
|
|
|
|
res = spot.remove_fin(aut)
|
|
assert(res.to_str('hoa') == exp)
|
|
|
|
# rabin_to_buchi_if_realizable() does not call merge_edges() on purpose: the
|
|
# edge order should match exactly the original automaton.
|
|
exp2 = """HOA: v1
|
|
States: 2
|
|
Start: 0
|
|
AP: 2 "p3" "p2"
|
|
acc-name: Buchi
|
|
Acceptance: 1 Inf(0)
|
|
properties: trans-labels explicit-labels trans-acc complete
|
|
properties: deterministic
|
|
--BODY--
|
|
State: 0
|
|
[0&1] 1
|
|
[0&!1] 0 {0}
|
|
[!0&1] 1
|
|
[!0&!1] 0 {0}
|
|
State: 1
|
|
[0&1] 1 {0}
|
|
[0&!1] 0 {0}
|
|
[!0&1] 1 {0}
|
|
[!0&!1] 0 {0}
|
|
--END--"""
|
|
|
|
res = spot.rabin_to_buchi_if_realizable(aut)
|
|
assert(res.to_str('hoa') == exp2)
|
|
|
|
# Test 14.
|
|
aut = spot.automaton("""
|
|
HOA: v1
|
|
States: 1
|
|
Start: 0
|
|
Acceptance: 4 (Fin(0)&Inf(1)) | (Fin(2)&Inf(3))
|
|
AP: 2 "b" "a"
|
|
--BODY--
|
|
State: 0
|
|
0 {3} /*{}*/
|
|
0 {1 3} /*{b}*/
|
|
0 {2} /*{a}*/
|
|
0 {2 1} /*{b, a}*/
|
|
--END--""")
|
|
|
|
exp = """HOA: v1
|
|
States: 2
|
|
Start: 0
|
|
AP: 2 "b" "a"
|
|
acc-name: Buchi
|
|
Acceptance: 1 Inf(0)
|
|
properties: trans-labels explicit-labels trans-acc
|
|
--BODY--
|
|
State: 0
|
|
[!0] 0
|
|
[0] 0 {0}
|
|
[!0&!1] 1
|
|
[0&!1] 1 {0}
|
|
State: 1
|
|
[!1] 1 {0}
|
|
--END--"""
|
|
|
|
res = spot.remove_fin(aut)
|
|
assert(res.to_str('hoa') == exp)
|
|
assert spot.rabin_to_buchi_if_realizable(aut) is None
|