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A Hennessy-Milner Theorem for ATL with Imperfect Information
arXiv - CS - Logic in Computer Science Pub Date : 2020-06-26 , DOI: arxiv-2006.15000
Francesco Belardinelli, Catalin Dima, Vadim Malvone, and Ferucio Tiplea

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.

中文翻译:

具有不完全信息的 ATL 的 Hennessy-Milner 定理

我们表明,具有不完美信息的交替互模拟的基于历史的变体允许它通过完整的 Hennessy-Milner 定理与具有不完美信息的交替时间时间逻辑 (ATL) 的变体相关联。我们考虑的 ATL 变体具有公共知识语义,这要求联盟实现某个目标可用的统一策略必须是联盟内部的公共知识,而其他信息不完善的 ATL 语义变体不适应 Hennessy-Milner定理。我们还表明,两个具有不完美信息的有限并发博弈结构 (iCGS) 之间基于历史的交替互模拟的存在是不可判定的。
更新日期:2020-06-29
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