remfin: deal with almost-Rabin automata
I.e., automata that could be Rabin if we add some empty Fin(x) or full Inf(y) sets. This way it does not matter when remove_fin() is called after cleanup_acceptance(). * src/twaalgos/remfin.cc: Implement that. * src/tests/remfin.test: More tests.
This commit is contained in:
Alexandre Duret-Lutz
parent
ef1bbfc659
commit
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2 changed files with 376 additions and 37 deletions
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@ -158,7 +158,7 @@ State: 7 {3}
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[!0] 6
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[0] 4
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--END--
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/* echo 'i F ^ F p1 U p0 V G p0 p1 F V f p0' | ltl2dstar -H - - */
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/* echo 'i F ^ F p1 U p0 V G p0 p1 F V f p0' | ltl2dstar -H - - | fmt */
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HOA: v1 States: 14 properties: implicit-labels
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trans-labels no-univ-branch deterministic complete comment:
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"Union{Safra[NBA=9],Safra[NBA=2]}" acc-name: Rabin 5 Acceptance: 10
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@ -170,6 +170,42 @@ State: 6 {1 2 4 6 9} 12 11 4 6 State: 7 {1 2 4 6 9} 12 12 4 7 State:
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8 {0 2 4 6 9} 12 12 8 8 State: 9 {2 4 6 9} 12 11 1 3 State: 10 {1 2 4
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6 8} 10 12 5 8 State: 11 {1 2 4 6 8} 12 11 8 6 State: 12 {0 2 4 6 8}
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12 12 8 8 State: 13 {2 4 6 8} 10 11 2 3 --END--
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/* ltlfilt -l -f '(F((p1) R (p0))) | (G(F(p0)))' | ltl2dstar -H - - |
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./autfilt --merge -H | fmt
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This one is DBA-type, however because some unused acceptance sets are
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removed before calling remfin(), that function could miss the fact
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that this was a Rabin automaton...
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*/
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HOA: v1 States: 4 Start: 0 AP: 2 "p1" "p0" acc-name: Rabin 3 Acceptance:
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6 (Fin(0) & Inf(1)) | (Fin(2) & Inf(3)) | (Fin(4) & Inf(5)) properties:
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trans-labels explicit-labels state-acc complete deterministic --BODY--
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State: 0 {2} [!1] 0 [0&1] 2 [!0&1] 3 State: 1 {1 2} [!1] 1 [1] 2 State:
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2 {1 2 5} [!1] 1 [1] 2 State: 3 {3 5} [!1] 0 [0&1] 2 [!0&1] 3 --END--
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/*
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ltlfilt -f '(X((X(p0)) R ((!(p1)) | (X(p0)))))' -l |
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ltl2dstar --automata=streett -H --ltl2nba=spin:ltl2tgba@-s - - |
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fmt
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This Streett automaton can be seen as a Rabin-like automaton with
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two pairs. So the BA-type check should apply. During testing, it
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triggered assertions.
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*/
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HOA: v1 States: 6 properties: implicit-labels trans-labels no-univ-branch
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deterministic complete comment: "Streett{Safra[NBA=5]}" acc-name: Streett
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1 Acceptance: 2 (Fin(0)|Inf(1)) Start: 5 AP: 2 "p0" "p1" --BODY-- State:
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0 {0} 0 0 0 0 State: 1 {0} 0 2 0 2 State: 2 {1} 2 2 2 2 State: 3 {}
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3 2 1 2 State: 4 {} 3 3 1 1 State: 5 {} 4 4 4 4 --END--
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/*
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ltlfilt -l -f '(F(!((1) U (!((G(p0)) -> (p1))))))' | ltl2dstar -H - - | fmt
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This Rabin automaton was incorrectly reduced at some point.
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*/
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HOA: v1 States: 4 properties: implicit-labels trans-labels no-univ-branch
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deterministic complete stutter-insensitive comment: "Safra[NBA=3]"
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acc-name: Rabin 2 Acceptance: 4 (Fin(0)&Inf(1))|(Fin(2)&Inf(3)) Start:
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1 AP: 2 "p0" "p1" --BODY-- State: 0 {2} 2 0 2 3 State: 1 {0 2} 2 1 2 2
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State: 2 {1 2} 2 0 2 2 State: 3 {3} 2 0 2 3 --END--
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EOF
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cat >expected <<EOF
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@ -403,6 +439,102 @@ State: 14 {0}
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[!0&1] 14
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[0&1] 14
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--END--
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HOA: v1
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States: 4
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Start: 0
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AP: 2 "p1" "p0"
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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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properties: deterministic
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--BODY--
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State: 0
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[!1] 0
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[0&1] 2
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[!0&1] 3
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State: 1 {0}
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[!1] 1
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[1] 2
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State: 2 {0}
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[!1] 1
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[1] 2
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State: 3 {0}
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[!1] 0
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[0&1] 2
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[!0&1] 3
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--END--
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HOA: v1
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States: 6
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Start: 5
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AP: 2 "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 complete
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properties: deterministic
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--BODY--
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State: 0
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[!0&!1] 0
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[0&!1] 0
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[!0&1] 0
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[0&1] 0
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State: 1
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[!0&!1] 0
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[0&!1] 2
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[!0&1] 0
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[0&1] 2
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State: 2 {0}
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[!0&!1] 2
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[0&!1] 2
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[!0&1] 2
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[0&1] 2
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State: 3 {0}
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[!0&!1] 3
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[0&!1] 2
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[!0&1] 1
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[0&1] 2
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State: 4
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[!0&!1] 3
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[0&!1] 3
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[!0&1] 1
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[0&1] 1
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State: 5
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[!0&!1] 4
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[0&!1] 4
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[!0&1] 4
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[0&1] 4
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--END--
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HOA: v1
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States: 5
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Start: 1
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AP: 2 "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
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--BODY--
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State: 0
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 3
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State: 1
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[!0&!1] 2
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[0&!1] 1
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[!0&1] 2
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[0&1] 2
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State: 2 {0}
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 2
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State: 3
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 3
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[0&1] 4
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State: 4 {0}
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[0&1] 4
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--END--
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EOF
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cat >expected-tgba <<EOF
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@ -640,6 +772,102 @@ State: 14 {0}
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[!0&1] 14
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[0&1] 14
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--END--
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HOA: v1
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States: 4
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Start: 0
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AP: 2 "p1" "p0"
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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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properties: deterministic
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--BODY--
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State: 0
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[!1] 0
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[0&1] 2
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[!0&1] 3
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State: 1 {0}
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[!1] 1
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[1] 2
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State: 2 {0}
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[!1] 1
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[1] 2
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State: 3 {0}
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[!1] 0
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[0&1] 2
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[!0&1] 3
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--END--
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HOA: v1
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States: 6
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Start: 5
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AP: 2 "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 complete
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properties: deterministic
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--BODY--
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State: 0
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[!0&!1] 0
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[0&!1] 0
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[!0&1] 0
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[0&1] 0
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State: 1
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[!0&!1] 0
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[0&!1] 2
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[!0&1] 0
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[0&1] 2
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State: 2 {0}
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[!0&!1] 2
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[0&!1] 2
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[!0&1] 2
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[0&1] 2
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State: 3 {0}
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[!0&!1] 3
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[0&!1] 2
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[!0&1] 1
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[0&1] 2
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State: 4
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[!0&!1] 3
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[0&!1] 3
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[!0&1] 1
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[0&1] 1
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State: 5
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[!0&!1] 4
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[0&!1] 4
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[!0&1] 4
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[0&1] 4
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--END--
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HOA: v1
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States: 5
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Start: 1
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AP: 2 "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
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--BODY--
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State: 0
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 3
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State: 1
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[!0&!1] 2
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[0&!1] 1
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[!0&1] 2
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[0&1] 2
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State: 2 {0}
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 2
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State: 3
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[!0&!1] 2
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[0&!1] 0
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[!0&1] 2
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[0&1] 3
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[0&1] 4
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State: 4 {0}
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[0&1] 4
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--END--
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EOF
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run 0 $autfilt -H --remove-fin test1 > output
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