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arXiv · 2006.15000

A Hennessy-Milner Theorem for ATL with Imperfect Information

Francesco Belardinelli·Catalin Dima·Vadim Malvone·Ferucio Tiplea
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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 accommodate 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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Francesco Belardinelli, Catalin Dima, Vadim Malvone, Ferucio Tiplea. 2020-06-26. A Hennessy-Milner Theorem for ATL with Imperfect Information. https://arxiv.org/abs/2006.15000

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