Fix handling of 1 in trivial identities for rational operators.

Especially, 1&f and 1:f were mistakenly always reduced to f, which is
incorrect when f accept the empty word.

* src/ltlast/multop.cc: Here.
* src/ltlast/multop.hh, doc/tl/tl.tex: Adjust documentation.
* src/ltltest/equals.test: Add more tests.
This commit is contained in:
Alexandre Duret-Lutz 2012-04-19 18:09:20 +02:00
parent 691119c188
commit 5bea6e4950
4 changed files with 91 additions and 37 deletions

View file

@ -84,27 +84,31 @@ namespace spot
/// - And(Exps1...,1,Exps2...) = And(Exps1...,Exps2...)
/// - And(Exps1...,0,Exps2...) = 0
/// - And(Exp) = Exp
/// - AndRat(Exps1...,0,Exps2...) = 0
/// - AndRat(Exps1...,BoolExp1,Exps2...,BoolExps2...) =
/// AndRat(Exps1...,Exps2...,And(BoolExp1,BoolExps2...))
/// - AndRat(Exps1...,[*0],Exps2...) = [*0] if all Expi accept [*0]
/// - AndRat(Exps1...,[*0],Exps2...) = 0 if some Expi reject [*0]
/// - AndNLM(Exps1...,1,Exps2...) = AndNLM(Exps1...,Exps2...)
/// - Or(Exps1...,1,Exps2...) = 1
/// - Or(Exps1...,0,Exps2...) = Or(Exps1...,Exps2...)
/// - Or(Exp) = Exp
/// - AndNLM(FExps1...,1,Exps2...) = AndNLM(Exps2...)
/// if Fexps1... accept [*0], and Exps2... don't.
/// - AndNLM(FExps1...,1,FExps2...) = 1
/// if Fexps1...,FExps2... all accept[*0].
/// - AndNLM(Exps1...,0,Exps2...) = 0
/// - AndNLM(Exps1...,[*0],Exps2...) = AndNLM(Exps1...,Exps2...)
/// - AndNLM(Exp) = Exp
/// - AndNLM(Exps1...,BoolExp1,Exps2...,BoolExp2,Exps3...) =
/// AndNLM(Exps1...,Exps2...,Exps3...,And(BoolExp1,BoolExp2))
/// - Or(Exps1...,1,Exps2...) = 1
/// - Or(Exps1...,0,Exps2...) = Or(Exps1...,Exps2...)
/// - Or(Exp) = Exp
/// - AndRat(Exps1...,0,Exps2...) = 0
/// - AndRat(Exps1...,BoolExp1,Exps2...,BoolExps2...) =
/// AndRat(Exps1...,Exps2...,And(BoolExp1,BoolExps2...))
/// - AndRat(Exps1...,[*0],Exps2...) = [*0] if all Expi accept [*0]
/// - AndRat(Exps1...,[*0],Exps2...) = 0 if some Expi reject [*0]
/// - OrRat(Exps1...,0,Exps2...) = OrRat(Exps1...,Exps2...)
/// - OrRat(Exps1...,BoolExp1,Exps2...,BoolExps2...) =
/// OrRat(Exps1...,Exps2...,Or(BoolExp1,BoolExps2...))
/// - Concat(Exps1...,0,Exps2...) = 0
/// - Concat(Exps1...,[*0],Exps2...) = Concat(Exps1...,Exps2...)
/// - Concat(Exp) = Exp
/// - Fusion(Exps1...,1,Exps2...) = Concat(Exps1...,Exps2...)
/// - Fusion(Exps1...1,Exps2...) = Fusion(Exps1...,Exps2...)
/// if at least one exp reject [*0]
/// - Fusion(Exps1...,0,Exps2...) = 0
/// - Fusion(Exps1...,[*0],Exps2...) = 0
/// - Fusion(Exp) = Exp