[SMT-LIB] a couple of logic issues
Clark Barrett
barrett at cs.nyu.edu
Mon Jul 24 15:34:43 EDT 2006
OK. If it seems that there are no objections to allowing Boolean variables in
all of the logics, then I think the logics need to specifiy that. I went and
reviewed the language in the SMT-LIB standard and it seems quite clear that any
use of "extrapreds" must be sanctioned in the "language" attribute of the
logic.
-Clark
>
> Clark Barrett wrote:
> > You are right. Sorry. I meant 0-ary predicates (i.e. Boolean variables). The
> > question is whether we should *always* allow additional Boolean variables or
> > only in some logics.
> >
> As far as I can tell, allowing Boolean variables in a logic that already
> allows Boolean combinations of literals is always unproblematic from a
> practical point of view: the mechanism one needs to deal with the
> Boolean operators can be used to deal with the Boolean variables as
> well. (Does anyone have a difference experience?)
> If a logic only allows conjunctions of literals, dealing with variables
> is even easier. So I think in general we could allow Boolean variables
> in any SMT-LIB logic.
>
>
> Cesare
>
>
> > -Clark
> >
> >> Hi Clark,
> >>
> >>
> >>> 2) The other issue that I am unclear about is which logics allow
> >>> the use of new
> >>> unary predicate symbols. Currently, it seems that we have
> >>> benchmarks in all
> >>> divisions that declare unary predicates using the "extrapreds"
> >>> command.
> >>> However, if I read the logics, it seems that QF_IDL and QF_RDL
> >>> definitely do
> >>> not allow unary predicates and some of the others are vague
> >>> (i.e. they allow
> >>> "free constant symbols"). What do people think about this?
> >>> Should all
> >>> logics allow new unary predicats? If not, does that mean that
> >>> only the "UF"
> >>> flavors of logics should allow declaration of unary predicates?
> >> I didn't find any benchmark in QF_IDL, QF_LIA, QF_LRA, and QF_RDL
> >> that uses
> >> unary predicate symbols. I used the following regular expression
> >> during the
> >> search: ":extrapreds (([^ ]* [^ ]*))".
> >>
> >> Leonardo
> >>
> >
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