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A Hennessy-Milner Theorem for ATL with Imperfect Information

Abstract : We show that a history-based variant of alternating bisimulation with imperfect information allows it to be related to a variant of Alternating-time Temporal Logic (ATL) with imperfect information by a full Hennessy-Milner theorem. The variant of ATL we consider has a common knowledge semantics, which requires that the uniform strategy available for a coalition to accomplish some goal must be common knowledge inside the coalition, while other semantic variants of ATL with imperfect information do not accomodate a Hennessy-Milner theorem. We also show that the existence of a history-based alternating bisimulation between two finite Concurrent Game Structures with imperfect information (iCGS) is undecidable.
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https://hal.archives-ouvertes.fr/hal-02867538
Contributor : Frédéric Davesne <>
Submitted on : Sunday, June 14, 2020 - 3:54:20 PM
Last modification on : Monday, July 6, 2020 - 11:32:15 AM

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Francesco Belardinelli, Catalin Dima, Vadim Malvone, Ferucio Tiplea. A Hennessy-Milner Theorem for ATL with Imperfect Information. 35th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2020), Jul 2020, Saarbrücken, Germany. pp.181--194, ⟨10.1145/3373718.3394784⟩. ⟨hal-02867538⟩

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