e87d308eba
When dealternating the VWAA for GFa, our result had two states that could not be fused by simulation because of unmatched acceptance mark. With this change, the result can be simplified. * spot/twaalgos/alternation.cc: Here. * tests/core/alternating.test, tests/python/alternation.ipynb: Update test case. * NEWS: Mention it.
987 lines
18 KiB
Bash
Executable file
987 lines
18 KiB
Bash
Executable file
#!/bin/sh
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# -*- coding: utf-8 -*-
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# Copyright (C) 2016-2018 Laboratoire de Recherche et Développement
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# de l'Epita (LRDE).
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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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. ./defs
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set -e
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cat >alt.hoa <<EOF
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HOA: v1.1
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States: 7
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Start: 0&2
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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AP: 2 "b" "a"
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properties: trans-labels explicit-labels state-acc univ-branch very-weak
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spot.highlight.edges: 2 5 7 2
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--BODY--
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State: 0 "((((a) U (b)) && GF(b)) && FG(a))"
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[(0)] 3&1
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[(!0 & 1)] 5&3&1
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State: 1 "FG(a)" {0}
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[(1)] 2
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[t] 1
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State: 2 "G(a)"
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[(1)] 2
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State: 3 "GF(b)"
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[(0)] 3
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[(!0)] 4&3
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State: 4 "F(b)" {0}
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[(0)] 6
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[(!0)] 4
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State: 5 "((a) U (b))" {0}
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[(0)] 6
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[(!0 & 1)] 5
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State: 6 "t"
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[t] 6
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--END--
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EOF
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autfilt --dot=bans alt.hoa >alt.dot
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cat >expect.dot <<EOF
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digraph "" {
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rankdir=LR
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label="Fin(⓿)\n[co-Büchi]"
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labelloc="t"
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I [label="", style=invis, width=0]
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I -> -11 [arrowhead=onormal]
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subgraph cluster_0 {
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color=green
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label=""
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2 [label="G(a)"]
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}
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subgraph cluster_1 {
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color=red
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label=""
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1 [label="FG(a)\n⓿"]
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}
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subgraph cluster_2 {
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color=green
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label=""
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6 [label="t"]
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}
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subgraph cluster_3 {
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color=red
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label=""
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4 [label="F(b)\n⓿"]
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}
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subgraph cluster_4 {
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color=green
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label=""
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3 [label="GF(b)"]
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-8 [label=<>,shape=point]
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}
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subgraph cluster_5 {
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color=red
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label=""
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5 [label="((a) U (b))\n⓿"]
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}
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subgraph cluster_6 {
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color=black
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label=""
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0 [label="((((a) U (b)) && GF(b)) && FG(a))"]
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}
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-11 [label=<>,shape=point]
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-11 -> 0
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-11 -> 2
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0 -> -1 [label="b", arrowhead=onormal]
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-1 [label=<>,shape=point]
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-1 -> 1
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-1 -> 3
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0 -> -4 [label="a & !b", style=bold, color="#E31A1C", arrowhead=onormal]
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-4 [label=<>,shape=point]
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-4 -> 1 [style=bold, color="#E31A1C"]
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-4 -> 3 [style=bold, color="#E31A1C"]
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-4 -> 5 [style=bold, color="#E31A1C"]
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1 -> 2 [label="a"]
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1 -> 1 [label="1"]
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2 -> 2 [label="a"]
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3 -> 3 [label="b"]
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3 -> -8 [label="!b", style=bold, color="#FF7F00", arrowhead=onormal]
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-8 -> 3 [style=bold, color="#FF7F00"]
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-8 -> 4 [style=bold, color="#FF7F00"]
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4 -> 6 [label="b"]
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4 -> 4 [label="!b"]
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5 -> 6 [label="b"]
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5 -> 5 [label="a & !b"]
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6 -> 6 [label="1"]
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}
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EOF
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diff expect.dot alt.dot
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autfilt --trust=no --check=strength alt.hoa | grep properties: >output
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cat >expected <<EOF
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properties: trans-labels explicit-labels state-acc univ-branch
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properties: very-weak
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EOF
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diff output expected
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cat >out.hoa <<EOF
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HOA: v1
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tool: "ltl3dra" "0.2.2"
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name: "VWAA for GFa"
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States: 3
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Start: 0
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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AP: 1 "a"
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properties: trans-labels explicit-labels state-acc univ-branch very-weak
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--BODY--
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State: 0 "GF(a)"
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[t] 0&1
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State: 1 "F(a)" {0}
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[(0)] 2
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[t] 1
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State: 2 "t"
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[t] 2
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--END--
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EOF
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test 3 = `autfilt --stats=%s out.hoa`
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test 2 = `autfilt --tgba --stats=%s out.hoa`
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# If we have a weak input, remove-fin can just transform co-Büchi into
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# Büchi.
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autfilt --remove-fin out.hoa >res
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cat >expected <<EOF
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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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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc complete univ-branch
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properties: very-weak
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--BODY--
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State: 0 {0}
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[t] 0&1
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State: 1
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[0] 2
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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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EOF
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diff expected res
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# If we do not know that the input is weak, remove-fin will call
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# remove_alternation().
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autfilt --remove-fin --trust-hoa=no out.hoa >res
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cat >expected <<EOF
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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 trans-acc complete
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--BODY--
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State: 0
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[t] 1
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State: 1
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[t] 1
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[0] 1 {0}
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--END--
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EOF
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diff expected res
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cat >ex1<<EOF
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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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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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--END--
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EOF
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cat >ex2<<EOF
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HOA: v1
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States: 3
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Start: 0&1
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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--END--
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EOF
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cat >ex3<<EOF
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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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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic univ-branch
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--BODY--
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State: 0
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[0] 1
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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--END--
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EOF
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autfilt -q --equivalent-to=ex1 ex2
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autfilt -q --included-in=ex1 ex2
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autfilt -q --equivalent-to=ex1 ex3 && exit 1
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autfilt -q --intersect=ex1 ex3
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cat >ex4<<EOF
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HOA: v1
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States: 5
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Start: 0&2
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc deterministic
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properties: univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&2
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State: 1
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[t] 1&4
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State: 2
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[!0] 2 {0}
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[0] 3
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State: 3
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[t] 3
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State: 4
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--END--
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HOA: v1
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States: 5
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Start: 0&2&4
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc deterministic
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properties: univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&2
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State: 1
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[t] 1&4
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State: 2
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[!0] 2 {0}
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[0] 3
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State: 3
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[t] 3
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State: 4
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--END--
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EOF
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cat >expect4<<EOF
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HOA: v1
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States: 3
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Start: 0&1
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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--END--
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HOA: v1
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States: 4
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Start: 0&1&3
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc deterministic
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properties: univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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State: 3
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--END--
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EOF
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cat >expect4d<<EOF
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HOA: v1
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States: 3
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Start: 0&1
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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properties: trans-labels explicit-labels trans-acc complete
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properties: deterministic univ-branch
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--BODY--
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State: 0
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[0] 0
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[!0] 0&1
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State: 1
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[!0] 1 {0}
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[0] 2
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State: 2
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[t] 2
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--END--
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HOA: v1
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States: 1
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Start: 0
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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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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EOF
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run 0 autfilt --remove-unreachable-states ex4 > out4
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diff expect4 out4
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run 0 autfilt --remove-dead-states ex4 > out4
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diff expect4d out4
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cat >ex5<<EOF
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HOA: v1
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States: 2
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Start: 0&1
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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--BODY--
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State: 0
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State: 1
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--END--
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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: 0 t
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--BODY--
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State: 0
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[0] 1&2
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[!0] 1
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State: 1
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[!0] 1
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State: 2
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--END--
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HOA: v1
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States: 4
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Start: 0&1
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AP: 1 "a"
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Acceptance: 0 t
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--BODY--
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State: 0
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[0] 1&2
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State: 1
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[!0] 1&0&3
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State: 2
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State: 3
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[t] 3
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--END--
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EOF
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run 0 autfilt --remove-dead-states ex5 > out5
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cat >expect <<EOF
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HOA: v1
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States: 1
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Start: 0
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AP: 1 "a"
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acc-name: co-Buchi
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Acceptance: 1 Fin(0)
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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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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: all
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Acceptance: 0 t
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properties: trans-labels explicit-labels state-acc deterministic
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--BODY--
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State: 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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HOA: v1
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States: 1
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Start: 0
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AP: 1 "a"
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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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EOF
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diff out5 expect
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# Test if split option with color is correct
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cat >ex6<<EOF
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HOA: v1.1
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States: 2
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Start: 0&1
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AP: 3 "c" "b" "a"
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Acceptance: 1 Fin(0)
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spot.highlight.edges: 2 1 3 2
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--BODY--
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State: 0
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[!0&!2] 0
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[!0&1&2] 0&1
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[!0&2] 0&1
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State: 1
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[1] 1
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--END--
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EOF
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run 0 autfilt --dot='baryf(Lato)' ex6 > ex6.dot
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style='arrowhead=onormal'
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cat >expect6.dot<<EOF
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digraph "" {
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rankdir=LR
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label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
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labelloc="t"
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|
node [shape="circle"]
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|
fontname="Lato"
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|
node [fontname="Lato"]
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|
edge [fontname="Lato"]
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|
I [label="", style=invis, width=0]
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|
I -> -1 [arrowhead=onormal]
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|
-1 [label=<>,shape=point]
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|
-1 -> 0
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|
-1 -> 1
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|
0 [label=<0>]
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|
0 -> 0 [label=<!a & !c>]
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|
0 -> -1.1 [label=<a & b & !c>, style=bold, color="#FF4DA0", $style]
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|
-1.1 [label=<>,shape=point]
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|
-1.1 -> 0 [style=bold, color="#FF4DA0"]
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|
-1.1 -> 1 [style=bold, color="#FF4DA0"]
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|
0 -> -1.2 [label=<a & !c>, style=bold, color="#FF7F00", arrowhead=onormal]
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|
-1.2 [label=<>,shape=point]
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|
-1.2 -> 0 [style=bold, color="#FF7F00"]
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-1.2 -> 1 [style=bold, color="#FF7F00"]
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1 [label=<1>]
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1 -> 1 [label=<b>]
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}
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EOF
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diff ex6.dot expect6.dot
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cat >ex7<<EOF
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HOA: v1
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tool: "LTL3HOA"
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name: "SLAA for c R (c | G(a & b) | (F!b & F!a))"
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States: 5
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AP: 3 "c" "a" "b"
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Start: 0
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Acceptance: 2 Fin(1) & Fin(0)
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--BODY--
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State: 0 "c R (c | G(a & b) | (F!b & F!a))"
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[(0)] 4
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[(!0 & !1 & !2)] 0
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[(!0 & 1 & 2)] 0&1
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[(!0 & 1 & !2)] 0&2
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[(!0 & !1 & 2)] 0&3
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[(!0 & 1 & 2)] 0&2&3
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State: 1 "G(a & b)"
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[(1 & 2)] 1
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State: 2 "F!a"
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[(!1)] 4
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[(1)] 2 {1}
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State: 3 "F!b"
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[(!2)] 4
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[(2)] 3 {0}
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State: 4 "t"
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[t] 4
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--END--
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EOF
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run 0 autfilt --dot='sbarf(Lato)' ex7 > ex7.dot
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|
|
color='<font color="#1F78B4">⓿</font>'
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color1='<font color="#FF4DA0">❶</font>'
|
|
cat >expect7.dot<<EOF
|
|
digraph "SLAA for c R (c | G(a & b) | (F!b & F!a))" {
|
|
rankdir=LR
|
|
label=<Fin($color1) & Fin($color)<br/>[Streett-like 2]>
|
|
labelloc="t"
|
|
fontname="Lato"
|
|
node [fontname="Lato"]
|
|
edge [fontname="Lato"]
|
|
I [label="", style=invis, width=0]
|
|
I -> 0
|
|
subgraph cluster_0 {
|
|
color=green
|
|
label=""
|
|
4 [label=<t>]
|
|
}
|
|
subgraph cluster_1 {
|
|
color=green
|
|
label=""
|
|
1 [label=<G(a & b)>]
|
|
}
|
|
subgraph cluster_2 {
|
|
color=red
|
|
label=""
|
|
2 [label=<F!a>]
|
|
}
|
|
subgraph cluster_3 {
|
|
color=red
|
|
label=""
|
|
3 [label=<F!b>]
|
|
}
|
|
subgraph cluster_4 {
|
|
color=green
|
|
label=""
|
|
0 [label=<c R (c | G(a & b) | (F!b & F!a))>]
|
|
-1 [label=<>,shape=point]
|
|
-4 [label=<>,shape=point]
|
|
-7 [label=<>,shape=point]
|
|
-10 [label=<>,shape=point]
|
|
}
|
|
0 -> 4 [label=<c>]
|
|
0 -> 0 [label=<!a & !b & !c>]
|
|
0 -> -1 [label=<a & b & !c>, arrowhead=onormal]
|
|
-1 -> 0
|
|
-1 -> 1
|
|
0 -> -4 [label=<a & !b & !c>, arrowhead=onormal]
|
|
-4 -> 0
|
|
-4 -> 2
|
|
0 -> -7 [label=<!a & b & !c>, arrowhead=onormal]
|
|
-7 -> 0
|
|
-7 -> 3
|
|
0 -> -10 [label=<a & b & !c>, arrowhead=onormal]
|
|
-10 -> 0
|
|
-10 -> 2
|
|
-10 -> 3
|
|
1 -> 1 [label=<a & b>]
|
|
2 -> 4 [label=<!a>]
|
|
2 -> 2 [label=<a<br/><font color="#FF4DA0">❶</font>>]
|
|
3 -> 4 [label=<!b>]
|
|
3 -> 3 [label=<b<br/><font color="#1F78B4">⓿</font>>]
|
|
4 -> 4 [label=<1>]
|
|
}
|
|
EOF
|
|
|
|
diff ex7.dot expect7.dot
|
|
|
|
cat >ex8<<EOF
|
|
HOA: v1
|
|
tool: "LTL3HOA"
|
|
name: "SLAA for c R (c | G(a & b) | (F!b & F!a))"
|
|
States: 5
|
|
AP: 3 "c" "a" "b"
|
|
Start: 0
|
|
Acceptance: 2 Fin(1) & Fin(0)
|
|
--BODY--
|
|
State: 0 "c R (c | G(a & b) | (F!b & F!a))"
|
|
[(0)] 4
|
|
[(!0 & !1 & !2)] 0
|
|
[(!0 & 1 & 2)] 0&1
|
|
[(!0 & 1 & !2)] 0&2
|
|
[(!0 & !1 & 2)] 0&3
|
|
State: 1 "G(a & b)"
|
|
[(1 & 2)] 1
|
|
[(!0 & 1 & 2)] 0&2&3
|
|
State: 2 "F!a"
|
|
[(!1)] 4
|
|
[(1)] 2 {1}
|
|
State: 3 "F!b"
|
|
[(!2)] 4
|
|
[(2)] 3 {0}
|
|
State: 4 "t"
|
|
[t] 4
|
|
--END--
|
|
EOF
|
|
|
|
run 0 autfilt --dot='sbarf(Lato)' ex8 > ex8.dot
|
|
|
|
cat >expect8.dot<<EOF
|
|
digraph "SLAA for c R (c | G(a & b) | (F!b & F!a))" {
|
|
rankdir=LR
|
|
label=<Fin($color1) & Fin($color)<br/>[Streett-like 2]>
|
|
labelloc="t"
|
|
fontname="Lato"
|
|
node [fontname="Lato"]
|
|
edge [fontname="Lato"]
|
|
I [label="", style=invis, width=0]
|
|
I -> 0
|
|
subgraph cluster_0 {
|
|
color=green
|
|
label=""
|
|
4 [label=<t>]
|
|
}
|
|
subgraph cluster_1 {
|
|
color=red
|
|
label=""
|
|
2 [label=<F!a>]
|
|
}
|
|
subgraph cluster_2 {
|
|
color=red
|
|
label=""
|
|
3 [label=<F!b>]
|
|
}
|
|
subgraph cluster_3 {
|
|
color=green
|
|
label=""
|
|
0 [label=<c R (c | G(a & b) | (F!b & F!a))>]
|
|
-1 [label=<>,shape=point]
|
|
-4 [label=<>,shape=point]
|
|
-7 [label=<>,shape=point]
|
|
1 [label=<G(a & b)>]
|
|
-10 [label=<>,shape=point]
|
|
}
|
|
0 -> 4 [label=<c>]
|
|
0 -> 0 [label=<!a & !b & !c>]
|
|
0 -> -1 [label=<a & b & !c>, arrowhead=onormal]
|
|
-1 -> 0
|
|
-1 -> 1
|
|
0 -> -4 [label=<a & !b & !c>, arrowhead=onormal]
|
|
-4 -> 0
|
|
-4 -> 2
|
|
0 -> -7 [label=<!a & b & !c>, arrowhead=onormal]
|
|
-7 -> 0
|
|
-7 -> 3
|
|
1 -> 1 [label=<a & b>]
|
|
1 -> -10 [label=<a & b & !c>, arrowhead=onormal]
|
|
-10 -> 0
|
|
-10 -> 2
|
|
-10 -> 3
|
|
2 -> 4 [label=<!a>]
|
|
2 -> 2 [label=<a<br/><font color="#FF4DA0">❶</font>>]
|
|
3 -> 4 [label=<!b>]
|
|
3 -> 3 [label=<b<br/><font color="#1F78B4">⓿</font>>]
|
|
4 -> 4 [label=<1>]
|
|
}
|
|
EOF
|
|
|
|
diff ex8.dot expect8.dot
|
|
|
|
cat >ex9 <<EOF
|
|
HOA: v1.1
|
|
States:3
|
|
Start: 0
|
|
AP: 3 "c" "b" "a"
|
|
Acceptance: 1 Fin(0)
|
|
spot.highlight.edges: 1 1 2 1 3 2
|
|
--BODY--
|
|
State: 0
|
|
[0&1] 1&2
|
|
State: 1
|
|
[1&2] 1&2
|
|
State: 2
|
|
[!0&!1&!2] 1&2
|
|
--END--
|
|
EOF
|
|
|
|
run 0 autfilt --dot='baryf(Lato)' ex9 > ex9.dot
|
|
|
|
cat >expect9.dot <<EOF
|
|
digraph "" {
|
|
rankdir=LR
|
|
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
|
|
labelloc="t"
|
|
node [shape="circle"]
|
|
fontname="Lato"
|
|
node [fontname="Lato"]
|
|
edge [fontname="Lato"]
|
|
I [label="", style=invis, width=0]
|
|
I -> 0
|
|
0 [label=<0>]
|
|
0 -> -1.1 [label=<b & c>, style=bold, color="#FF4DA0", arrowhead=onormal]
|
|
-1.1 [label=<>,shape=point]
|
|
-1.1 -> 1 [style=bold, color="#FF4DA0"]
|
|
-1.1 -> 2 [style=bold, color="#FF4DA0"]
|
|
1 [label=<1>]
|
|
1 -> -1.1 [label=<a & b>, style=bold, color="#FF4DA0", arrowhead=onormal]
|
|
2 [label=<2>]
|
|
2 -> -1.2 [label=<!a & !b & !c>, style=bold, color="#FF7F00", $style]
|
|
-1.2 [label=<>,shape=point]
|
|
-1.2 -> 1 [style=bold, color="#FF7F00"]
|
|
-1.2 -> 2 [style=bold, color="#FF7F00"]
|
|
}
|
|
EOF
|
|
|
|
diff ex9.dot expect9.dot
|
|
|
|
cat >ex10 <<EOF
|
|
HOA: v1.1
|
|
States:3
|
|
Start: 0
|
|
AP: 3 "c" "b" "a"
|
|
Acceptance: 1 Fin(0)
|
|
spot.highlight.edges: 1 1 2 3 3 2
|
|
--BODY--
|
|
State: 0
|
|
[0&1] 1&2
|
|
State: 1
|
|
[1&2] 1&2
|
|
State: 2
|
|
[!0&!1&!2] 1&2
|
|
--END--
|
|
EOF
|
|
|
|
run 0 autfilt --dot='baryf(Lato)' ex10 > ex10.dot
|
|
|
|
cat >expect10.dot <<EOF
|
|
digraph "" {
|
|
rankdir=LR
|
|
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
|
|
labelloc="t"
|
|
node [shape="circle"]
|
|
fontname="Lato"
|
|
node [fontname="Lato"]
|
|
edge [fontname="Lato"]
|
|
I [label="", style=invis, width=0]
|
|
I -> 0
|
|
0 [label=<0>]
|
|
0 -> -1.1 [label=<b & c>, style=bold, color="#FF4DA0", arrowhead=onormal]
|
|
-1.1 [label=<>,shape=point]
|
|
-1.1 -> 1 [style=bold, color="#FF4DA0"]
|
|
-1.1 -> 2 [style=bold, color="#FF4DA0"]
|
|
1 [label=<1>]
|
|
1 -> -1.3 [label=<a & b>, style=bold, color="#6A3D9A", arrowhead=onormal]
|
|
-1.3 [label=<>,shape=point]
|
|
-1.3 -> 1 [style=bold, color="#6A3D9A"]
|
|
-1.3 -> 2 [style=bold, color="#6A3D9A"]
|
|
2 [label=<2>]
|
|
2 -> -1.2 [label=<!a & !b & !c>, style=bold, color="#FF7F00", $style]
|
|
-1.2 [label=<>,shape=point]
|
|
-1.2 -> 1 [style=bold, color="#FF7F00"]
|
|
-1.2 -> 2 [style=bold, color="#FF7F00"]
|
|
}
|
|
EOF
|
|
|
|
diff ex10.dot expect10.dot
|
|
|
|
cat >ex11 <<EOF
|
|
HOA: v1
|
|
tool: "LTL3HOA"
|
|
name: "SLAA for G((b & Fa) | (!b & G!a))"
|
|
States: 4
|
|
AP: 2 "b" "a"
|
|
Start: 0
|
|
Acceptance: 1 Fin(0)
|
|
--BODY--
|
|
State: 0 "G((b & Fa) | (!b & G!a))"
|
|
[(0 & 1)] 0
|
|
[(0 & !1)] 0&1
|
|
[(!0 & !1)] 0&2
|
|
State: 1 "Fa"
|
|
[(1)] 3
|
|
[(!1)] 1 {1}
|
|
State: 2 "G!a"
|
|
[(!1)] 2
|
|
State: 3 "t"
|
|
[t] 3
|
|
--END--
|
|
EOF
|
|
|
|
run 2 autfilt --dot='sbarf(Lato)' ex11 > ex11.dot
|
|
|
|
cat >expect11.dot <<EOF
|
|
digraph "SLAA for G((b & Fa) | (!b & G!a))" {
|
|
rankdir=LR
|
|
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
|
|
labelloc="t"
|
|
fontname="Lato"
|
|
node [fontname="Lato"]
|
|
edge [fontname="Lato"]
|
|
I [label="", style=invis, width=0]
|
|
I -> 0
|
|
subgraph cluster_0 {
|
|
color=green
|
|
label=""
|
|
3 [label=<t>]
|
|
}
|
|
subgraph cluster_1 {
|
|
color=green
|
|
label=""
|
|
1 [label=<Fa>]
|
|
}
|
|
subgraph cluster_2 {
|
|
color=green
|
|
label=""
|
|
2 [label=<G!a>]
|
|
}
|
|
subgraph cluster_3 {
|
|
color=green
|
|
label=""
|
|
0 [label=<G((b & Fa) | (!b & G!a))>]
|
|
-1 [label=<>,shape=point]
|
|
-4 [label=<>,shape=point]
|
|
}
|
|
0 -> 0 [label=<a & b>]
|
|
0 -> -1 [label=<!a & b>, arrowhead=onormal]
|
|
-1 -> 0
|
|
-1 -> 1
|
|
0 -> -4 [label=<!a & !b>, arrowhead=onormal]
|
|
-4 -> 0
|
|
-4 -> 2
|
|
1 -> 3 [label=<a>]
|
|
1 -> 1 [label=<!a>]
|
|
2 -> 2 [label=<!a>]
|
|
3 -> 3 [label=<1>]
|
|
}
|
|
EOF
|
|
|
|
diff ex11.dot expect11.dot
|
|
|
|
# Detect cases where alternation-removal cannot work.
|
|
cat >in <<EOF
|
|
HOA: v1
|
|
name: "SLAA for p1 & FGp1"
|
|
States: 3
|
|
Start: 0&1
|
|
AP: 1 "p1"
|
|
acc-name: co-Buchi
|
|
Acceptance: 1 Fin(0)
|
|
properties: trans-labels explicit-labels trans-acc deterministic
|
|
properties: univ-branch
|
|
--BODY--
|
|
State: 0 "p1"
|
|
[0] 2
|
|
State: 1 "FGp1"
|
|
[0] 1
|
|
[!0] 1 {0}
|
|
State: 2 "t"
|
|
[t] 2
|
|
--END--
|
|
EOF
|
|
autfilt --tgba in 2>out && exit 1
|
|
grep 'autfilt.*weak.*alternating' out
|
|
test '0 2 2 1' = "`autfilt --stats='%[Wiw]c %[w]c %[iw]c %[W]c' in`"
|
|
|
|
cat >in <<EOF
|
|
HOA: v1
|
|
States: 4
|
|
AP: 2 "a" "b"
|
|
Start: 0&1
|
|
Acceptance: 1 Inf(0)
|
|
--BODY--
|
|
State: 0 {0}
|
|
[0] 2
|
|
State: 2 /*{0}*/
|
|
[0] 0
|
|
State: 1 {0}
|
|
[1] 3
|
|
State: 3 /*{0}*/
|
|
[1] 1
|
|
--END--
|
|
EOF
|
|
autfilt --tgba in 2>out && exit 1
|
|
grep 'autfilt.*weak.*alternating' out
|
|
test '2 0 2 2' = "`autfilt --stats='%[Wiw]c %[w]c %[iw]c %[W]c' in`"
|
|
|
|
|
|
cat >in <<EOF
|
|
HOA: v1
|
|
States: 2
|
|
AP: 1 "a"
|
|
Start: 0
|
|
Acceptance: 1 Inf(0)
|
|
--BODY--
|
|
State: 0
|
|
[0] 1&0 {0}
|
|
[!0] 0
|
|
State: 1
|
|
[t] 0&1
|
|
--END--
|
|
EOF
|
|
test '0 1 1 0 0' = "`autfilt --stats='%[iw]c %[W]c %[c]c %[C]c %[t]c' in`"
|
|
|
|
cat >in <<EOF
|
|
HOA: v1
|
|
States: 3
|
|
AP: 1 "a"
|
|
Start: 0
|
|
Acceptance: 1 Inf(0)
|
|
--BODY--
|
|
State: 0
|
|
[t] 0&1
|
|
State: 1
|
|
[0] 1&2 {0}
|
|
[!0] 1
|
|
State: 2
|
|
[t] 2&1
|
|
--END--
|
|
EOF
|
|
test '1 1 1 1 0' = "`autfilt --stats='%[iw]c %[W]c %[c]c %[C]c %[t]c' in`"
|
|
|
|
cat >in <<EOF
|
|
HOA: v1
|
|
States: 3
|
|
AP: 1 "a"
|
|
Start: 0
|
|
Acceptance: 1 Inf(0)
|
|
--BODY--
|
|
State: 0
|
|
[t] 0&1
|
|
State: 1 {0}
|
|
[0] 1&2
|
|
[!0] 1
|
|
State: 2 {0}
|
|
[t] 2&1
|
|
--END--
|
|
EOF
|
|
test '2 0 1 1 1' = "`autfilt --stats='%[iw]c %[W]c %[c]c %[C]c %[t]c' in`"
|