spot/tests/core/alternating.test

#!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) by the Spot authors, see the AUTHORS file for details.
#
# This file is part of Spot, a model checking library.
#
# Spot is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# (at your option) any later version.
#
# Spot is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
# or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
# License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.

. ./defs
set -e

cat >alt.hoa <<EOF
HOA: v1.1
States: 7
Start: 0&2
acc-name: co-Buchi
Acceptance: 1 Fin(0)
AP: 2 "b" "a"
properties: trans-labels explicit-labels state-acc univ-branch very-weak
spot.highlight.edges: 2 5 7 2
--BODY--
State: 0 "((((a) U (b)) && GF(b)) && FG(a))"
 [(0)] 3&1
 [(!0 & 1)] 5&3&1
State: 1 "FG(a)" {0}
 [(1)] 2
 [t] 1
State: 2 "G(a)"
 [(1)] 2
State: 3 "GF(b)"
 [(0)] 3
 [(!0)] 4&3
State: 4 "F(b)" {0}
 [(0)] 6
 [(!0)] 4
State: 5 "((a) U (b))" {0}
 [(0)] 6
 [(!0 & 1)] 5
State: 6 "t"
 [t] 6
--END--
EOF

test "1 2 4" = "`autfilt --stats='%u %[s]u %[e]u' alt.hoa`"

autfilt --has-univ-branch --has-exist-branch --dot=bansi alt.hoa >alt.dot

aho='arrowhead=onormal'
b='style=bold,'
tE='tooltip="\\E'
cat >expect.dot <<EOF
digraph "" {
  rankdir=LR
  label="Fin(⓿)\n[co-Büchi]"
  labelloc="t"
  node [shape="box",style="rounded",width="0.5"]
  node [id="S\N"]
  I [label="", style=invis, width=0]
  I -> -11 [$aho]
  subgraph cluster_0 {
  color=green
  id="SCC0"
  label=""
  2 [label="G(a)"]
  }
  subgraph cluster_1 {
  color=red
  id="SCC1"
  label=""
  1 [label="FG(a)\n⓿"]
  }
  subgraph cluster_2 {
  color=green
  id="SCC2"
  label=""
  6 [label="t"]
  }
  subgraph cluster_3 {
  color=red
  id="SCC3"
  label=""
  4 [label="F(b)\n⓿"]
  }
  subgraph cluster_4 {
  color=green
  id="SCC4"
  label=""
  3 [label="GF(b)"]
  -8 [label=<>,shape=point,width=0.05,height=0.05]
  }
  subgraph cluster_5 {
  color=red
  id="SCC5"
  label=""
  5 [label="((a) U (b))\n⓿"]
  }
  subgraph cluster_6 {
  color=black
  id="SCC6"
  label=""
  0 [label="((((a) U (b)) && GF(b)) && FG(a))"]
  }
  -11 [label=<>,shape=point,width=0.05,height=0.05]
  -11 -> 0 [id="E-11E0"]
  -11 -> 2 [id="E-11E2"]
  0 -> -1 [label="b", id="E1", $tE\n#1", $aho]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  -1 -> 1 [id="E-1E1"]
  -1 -> 3 [id="E-1E3"]
  0 -> -4 [label="a & !b", id="E2", $tE\n#2", $b color="#E31A1C", $aho]
  -4 [label=<>,shape=point,width=0.05,height=0.05]
  -4 -> 1 [$b color="#E31A1C",id="E-4E1"]
  -4 -> 3 [$b color="#E31A1C",id="E-4E3"]
  -4 -> 5 [$b color="#E31A1C",id="E-4E5"]
  1 -> 2 [label="a", id="E3", $tE\n#3"]
  1 -> 1 [label="1", id="E4", $tE\n#4"]
  2 -> 2 [label="a", id="E5", $tE\n#5"]
  3 -> 3 [label="b", id="E6", $tE\n#6"]
  3 -> -8 [label="!b", id="E7", $tE\n#7", $b color="#FF7F00", $aho]
  -8 -> 3 [$b color="#FF7F00",id="E-8E3"]
  -8 -> 4 [$b color="#FF7F00",id="E-8E4"]
  4 -> 6 [label="b", id="E8", $tE\n#8"]
  4 -> 4 [label="!b", id="E9", $tE\n#9"]
  5 -> 6 [label="b", id="E10", $tE\n#10"]
  5 -> 5 [label="a & !b", id="E11", $tE\n#11"]
  6 -> 6 [label="1", id="E12", $tE\n#12"]
}
EOF

diff expect.dot alt.dot

autfilt --trust=no --check=strength alt.hoa | grep properties: >output
cat >expected <<EOF
properties: trans-labels explicit-labels state-acc univ-branch
properties: very-weak
EOF
diff output expected


cat >out.hoa <<EOF
HOA: v1
tool: "ltl3dra" "0.2.2"
name: "VWAA for GFa"
States: 3
Start: 0
acc-name: co-Buchi
Acceptance: 1 Fin(0)
AP: 1 "a"
properties: trans-labels explicit-labels state-acc univ-branch very-weak
--BODY--
State: 0 "GF(a)"
 [t] 0&1
State: 1 "F(a)" {0}
 [(0)] 2
 [t] 1
State: 2 "t"
 [t] 2
--END--
EOF
test 3 = `autfilt --stats=%s out.hoa`
test 2 = `autfilt --tgba --stats=%s out.hoa`

# If we have a weak input, remove-fin can just transform co-Büchi into
# Büchi.
autfilt --remove-fin out.hoa >res
cat >expected <<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc complete univ-branch
properties: very-weak
--BODY--
State: 0 {0}
[t] 0&1
State: 1
[0] 2
[t] 1
State: 2 {0}
[t] 2
--END--
EOF
diff expected res

# If we do not know that the input is weak, remove-fin will call
# remove_alternation().
autfilt --remove-fin --trust-hoa=no out.hoa >res
cat >expected <<EOF
HOA: v1
States: 2
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic
--BODY--
State: 0
[t] 1
State: 1
[!0] 1
[0] 1 {0}
--END--
EOF
diff expected res


cat >ex1<<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF

cat >ex2<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF

cat >ex3<<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 1
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF

autfilt --has-exist-branch ex3 && exit 1

autfilt -q --equivalent-to=ex1 ex2
autfilt -q --included-in=ex1 ex2
autfilt -q --equivalent-to=ex1 ex3 && exit 1
autfilt -q --intersect=ex1 ex3


cat >ex4<<EOF
HOA: v1
States: 5
Start: 0&2
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&2
State: 1
[t] 1&4
State: 2
[!0] 2 {0}
[0] 3
State: 3
[t] 3
State: 4
--END--
HOA: v1
States: 5
Start: 0&2&4
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&2
State: 1
[t] 1&4
State: 2
[!0] 2 {0}
[0] 3
State: 3
[t] 3
State: 4
--END--
EOF

cat >expect4<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
HOA: v1
States: 4
Start: 0&1&3
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
State: 3
--END--
EOF

cat >expect4d<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
EOF

run 0 autfilt --remove-unreachable-states ex4 > out4
diff expect4 out4
run 0 autfilt --remove-dead-states ex4 > out4
diff expect4d out4


cat >ex5<<EOF
HOA: v1
States: 2
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
--BODY--
State: 0
State: 1
--END--
HOA: v1
States: 3
Start: 0
AP: 1 "a"
Acceptance: 0 t
--BODY--
State: 0
[0] 1&2
[!0] 1
State: 1
[!0] 1
State: 2
--END--
HOA: v1
States: 4
Start: 0&1
AP: 1 "a"
Acceptance: 0 t
--BODY--
State: 0
[0] 1&2
State: 1
[!0] 1&0&3
State: 2
State: 3
[t] 3
--END--
EOF

run 0 autfilt --remove-dead-states ex5 > out5
cat >expect <<EOF
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
HOA: v1
States: 2
Start: 0
AP: 1 "a"
acc-name: all
Acceptance: 0 t
properties: trans-labels explicit-labels state-acc deterministic weak
--BODY--
State: 0
[!0] 1
State: 1
[!0] 1
--END--
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: all
Acceptance: 0 t
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
EOF
diff out5 expect

# Test if split option with color is correct
cat >ex6<<EOF
HOA: v1.1
States: 2
Start: 0&1
AP: 3 "c" "b" "a"
Acceptance: 1 Fin(0)
spot.highlight.edges: 2 1 3 2
--BODY--
State: 0
[!0&!2] 0
[!0&1&2] 0&1
[!0&2] 0&1
State: 1
[1] 1
--END--
EOF

run 0 autfilt --dot='baryf(Lato)' ex6 > ex6.dot

cat >expect6.dot<<EOF
digraph "" {
  rankdir=LR
  label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
  labelloc="t"
  node [shape="box",style="rounded",width="0.5"]
  fontname="Lato"
  node [fontname="Lato"]
  edge [fontname="Lato"]
  I [label="", style=invis, width=0]
  I -> -1 [$aho]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  -1 -> 0
  -1 -> 1
  0 [label=<0>]
  0 -> 0 [label=<!a &amp; !c>]
  0 -> -1.1 [label=<a &amp; b &amp; !c>, $b color="#FF4DA0", $aho]
  -1.1 [label=<>,shape=point,width=0.05,height=0.05]
  -1.1 -> 0 [$b color="#FF4DA0"]
  -1.1 -> 1 [$b color="#FF4DA0"]
  0 -> -1.2 [label=<a &amp; !c>, $b color="#FF7F00", $aho]
  -1.2 [label=<>,shape=point,width=0.05,height=0.05]
  -1.2 -> 0 [$b color="#FF7F00"]
  -1.2 -> 1 [$b color="#FF7F00"]
  1 [label=<1>]
  1 -> 1 [label=<b>]
}
EOF
diff ex6.dot expect6.dot

cat >ex7<<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
  [(!0 & 1 & 2)] 0&2&3
State: 1 "G(a & b)"
  [(1 & 2)] 1
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)' ex7 > ex7.dot

color='<font color="#1F78B4">⓿</font>'
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($color1) &amp; Fin($color)<br/>[Streett-like 2]>
  labelloc="t"
  node [shape="box",style="rounded",width="0.5"]
  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 &amp; 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 &amp; b) | (F!b &amp; F!a))>]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  -4 [label=<>,shape=point,width=0.05,height=0.05]
  -7 [label=<>,shape=point,width=0.05,height=0.05]
  -10 [label=<>,shape=point,width=0.05,height=0.05]
  }
  0 -> 4 [label=<c>]
  0 -> 0 [label=<!a &amp; !b &amp; !c>]
  0 -> -1 [label=<a &amp; b &amp; !c>, $aho]
  -1 -> 0
  -1 -> 1
  0 -> -4 [label=<a &amp; !b &amp; !c>, $aho]
  -4 -> 0
  -4 -> 2
  0 -> -7 [label=<!a &amp; b &amp; !c>, $aho]
  -7 -> 0
  -7 -> 3
  0 -> -10 [label=<a &amp; b &amp; !c>, $aho]
  -10 -> 0
  -10 -> 2
  -10 -> 3
  1 -> 1 [label=<a &amp; 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 --has-exist-branch --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($color1) &amp; Fin($color)<br/>[Streett-like 2]>
  labelloc="t"
  node [shape="box",style="rounded",width="0.5"]
  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 &amp; b) | (F!b &amp; F!a))>]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  -4 [label=<>,shape=point,width=0.05,height=0.05]
  -7 [label=<>,shape=point,width=0.05,height=0.05]
  1 [label=<G(a &amp; b)>]
  -10 [label=<>,shape=point,width=0.05,height=0.05]
  }
  0 -> 4 [label=<c>]
  0 -> 0 [label=<!a &amp; !b &amp; !c>]
  0 -> -1 [label=<a &amp; b &amp; !c>, $aho]
  -1 -> 0
  -1 -> 1
  0 -> -4 [label=<a &amp; !b &amp; !c>, $aho]
  -4 -> 0
  -4 -> 2
  0 -> -7 [label=<!a &amp; b &amp; !c>, $aho]
  -7 -> 0
  -7 -> 3
  1 -> 1 [label=<a &amp; b>]
  1 -> -10 [label=<a &amp; b &amp; !c>, $aho]
  -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 -v --has-exist-branch --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="box",style="rounded",width="0.5"]
  fontname="Lato"
  node [fontname="Lato"]
  edge [fontname="Lato"]
  I [label="", style=invis, width=0]
  I -> 0
  0 [label=<0>]
  0 -> -1.1 [label=<b &amp; c>, $b color="#FF4DA0", $aho]
  -1.1 [label=<>,shape=point,width=0.05,height=0.05]
  -1.1 -> 1 [$b color="#FF4DA0"]
  -1.1 -> 2 [$b color="#FF4DA0"]
  1 [label=<1>]
  1 -> -1.1 [label=<a &amp; b>, $b color="#FF4DA0", $aho]
  2 [label=<2>]
  2 -> -1.2 [label=<!a &amp; !b &amp; !c>, $b color="#FF7F00", $aho]
  -1.2 [label=<>,shape=point,width=0.05,height=0.05]
  -1.2 -> 1 [$b color="#FF7F00"]
  -1.2 -> 2 [$b 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="box",style="rounded",width="0.5"]
  fontname="Lato"
  node [fontname="Lato"]
  edge [fontname="Lato"]
  I [label="", style=invis, width=0]
  I -> 0
  0 [label=<0>]
  0 -> -1.1 [label=<b &amp; c>, $b color="#FF4DA0", $aho]
  -1.1 [label=<>,shape=point,width=0.05,height=0.05]
  -1.1 -> 1 [$b color="#FF4DA0"]
  -1.1 -> 2 [$b color="#FF4DA0"]
  1 [label=<1>]
  1 -> -1.3 [label=<a &amp; b>, $b color="#6A3D9A", $aho]
  -1.3 [label=<>,shape=point,width=0.05,height=0.05]
  -1.3 -> 1 [$b color="#6A3D9A"]
  -1.3 -> 2 [$b color="#6A3D9A"]
  2 [label=<2>]
  2 -> -1.2 [label=<!a &amp; !b &amp; !c>, $b color="#FF7F00", $aho]
  -1.2 [label=<>,shape=point,width=0.05,height=0.05]
  -1.2 -> 1 [$b color="#FF7F00"]
  -1.2 -> 2 [$b 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"
  node [shape="box",style="rounded",width="0.5"]
  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 &amp; Fa) | (!b &amp; G!a))>]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  -4 [label=<>,shape=point,width=0.05,height=0.05]
  }
  0 -> 0 [label=<a &amp; b>]
  0 -> -1 [label=<!a &amp; b>, $aho]
  -1 -> 0
  -1 -> 1
  0 -> -4 [label=<!a &amp; !b>, $aho]
  -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
stats='%[iw]c_%[W]c_%[c]c_%[C]c_%[t]c_%U_%[e]U_%[s]U'
test '2_0_1_1_1_1_3_3' = "`autfilt --stats=$stats in`"


autfilt --stats='%[x]U' in 2>stderr && exit2
grep '%\[x\]U' stderr

cat >in <<EOF
HOA: v1
States: 2
Start: 1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete univ-branch
--BODY--
State: 0
[t] 0
State: 1
[t] 0&1 {0}
[0] 0
--END--
EOF
autfilt -du in >out.dot
# T0T-1 is not a valid name for GraphViz, it has to be quoted.
cat >exp.dot <<EOF
digraph "" {
  rankdir=LR
  label="Fin(0)\n[co-Büchi]"
  labelloc="t"
  node [shape="circle"]
  I [label="", style=invis, width=0]
  I -> 1
  1 [label="1"]
  1 -> -1 [label="1\n{0}", arrowhead=onormal]
  -1 [label=<>,shape=point,width=0.05,height=0.05]
  "T0T-1" [label="", style=invis, width=0]
  -1 -> "T0T-1"
  -1 -> 1
  T0T1 [label="", style=invis, width=0]
  1 -> T0T1 [label="a"]
}
EOF
diff out.dot exp.dot