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Model Checking an Epistemic mu-calculus with Synchronous and Perfect Recall Semantics

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abstract

We identify a subproblem of the model-checking problem for the epistemic \mu-calculus which is decidable. Formulas in the instances of this subproblem allow free variables within the scope of epistemic modalities in a restricted form that avoids embodying any form of common knowledge. Our subproblem subsumes known decidable fragments of epistemic CTL/LTL, may express winning strategies in two-player games with one player having imperfect information and non-observable objectives, and, with a suitable encoding, decidable instances of the model-checking problem for ATLiR.

fields

cs.LO 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

Dealing with imperfect information in Strategy Logic

cs.LO · 2019-08-07 · conditional · novelty 6.0

A new Epistemic Strategy Logic internalizes uniformity and other strategy properties in the object language, and its perfect-information core BSL is shown equiexpressive with Strategy Logic.

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  • Dealing with imperfect information in Strategy Logic cs.LO · 2019-08-07 · conditional · none · ref 7 · internal anchor

    A new Epistemic Strategy Logic internalizes uniformity and other strategy properties in the object language, and its perfect-information core BSL is shown equiexpressive with Strategy Logic.