#! /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/>.


# Check for the negative_normal_form visitor

. ./defs || exit 1

set -e

cat >nenoform.txt<<EOF
# A few things that do not change
a, a
1, 1
0, 0
!a, !a
a U b, a U b
a & b, a & b
a & b, b & a
a & !b & c, c & a & !b
a & b & c, b & c & a
Xa & b & Xa, b & Xa & b
a & b, b & a & b
a & !b, !b & a & a
a & b & (Xc |(f U !g)| e), b & a & a & (Xc | e |(f U !g)| e | Xc) & b
GFa => FGb, FG!a || FGb

# Basic rewritings
!!a, a
!!!!!a, !a
!Xa, X!a
!Fa, G!a
!Ga, F!a
!(a ^ b), !a&!b | a&b
!(a <=> b), (!a&b) | a&!b
!(a => b), a&!b
!(!a => !b), !a&b
!(a U b), !a R !b
!(a R b), !a U !b
!(!a R !b), a U b
!(a & b & c & d & b), !a | !b | !c | !d
!(a | b | c | d), !a & !b & !c & !d

# Nested rewritings
!(a U (!b U ((a & b & c) R d))), !a R (b R ((!a | !b | !c) U !d))
!(GF a => FG b), GFa & GF!b

# Rational operators
!X{a;b}<>->Fx, X{a;b}[]->G!x
!F({a*}<>->{b*}<>->c), G({a*}[]->{b*}[]->!c)
EOF

run 0 ../nenoform nenoform.txt