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arXiv · 1310.6434

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

Rodica Bozianu·Catalin Dima·Constantin Enea
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Abstract

We identify a subproblem of the model-checking problem for the epistemic μ-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.

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Rodica Bozianu, Catalin Dima, Constantin Enea. 2013-10-23. Model Checking an Epistemic mu-calculus with Synchronous and Perfect Recall Semantics. https://arxiv.org/abs/1310.6434

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