An extension of QPTL is considered where functional dependencies among the quantified variables can be restricted in such a way that their current values are independent of the future values of the other variables. This restriction is tightly connected to the notion of behavioral strategies in game-theory and allows the resulting logic to naturally express game-theoretic concepts. The fragment where only restricted quantifications are considered, called behavioral quantifications, can be decided, for both model checking and satisfiability, in 2EXPTIME and is expressively equivalent to QPTL, though significantly less succinct.
An extension of
QPTL
is considered where
functional dependencies
among the quantified variables can be restricted in such a way that their current values are
independent of the future
values of the other variables. This restriction is tightly connected to the notion of
behavioral strategies
in game-theory and allows the resulting logic to naturally express game-theoretic concepts. Inspired by the work on logics of dependence and independence, we provide a new compositional semantics for
QPTL
that allows for expressing such functional dependencies among variables. The fragment where only restricted quantifications are considered, called
behavioral quantifications
, allows for linear-time properties that are satisfiable if and only if they are realisable in the Pnueli-Rosner sense. This fragment can be decided, for both
model checking
and
satisfiability
, in 2E
xp
T
ime
and is
expressively equivalent
to
QPTL
, though significantly
less succinct
.
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