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arXiv · 2104.06085

Good-for-Game QPTL: An Alternating Hodges Semantics

Dylan Bellier·Massimo Benerecetti·Dario Della Monica·Fabio Mogavero
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Abstract

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.

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Dylan Bellier, Massimo Benerecetti, Dario Della Monica, Fabio Mogavero. 2021-04-13. Good-for-Game QPTL: An Alternating Hodges Semantics. https://arxiv.org/abs/2104.06085

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