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Article Dans Une Revue ACM Transactions on Computational Logic Année : 2023

Good-for-Game QPTL: An Alternating Hodges Semantics

Résumé

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 2 Exp Time and is expressively equivalent to QPTL , though significantly less succinct.

Dates et versions

hal-04047630 , version 1 (27-03-2023)

Identifiants

Citer

Dylan Bellier, Massimo Benerecetti, Dario Della Monica, Fabio Mogavero. Good-for-Game QPTL: An Alternating Hodges Semantics. ACM Transactions on Computational Logic, 2023, 24 (1), pp.1-57. ⟨10.1145/3565365⟩. ⟨hal-04047630⟩
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