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Coalition logic with individual, distributed and common knowledge

机译:具有个体,分布式和公共知识的联盟逻辑

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摘要

Coalition logic is currently one of the most popular logics for multi-agent systems. While logics combining coalitional and epistemic operators have received considerable attention, completeness results for epistemic extensions of coalition logic have so far been missing. In this paper we provide several such results and proofs.We prove completeness for epistemic coalition logic with common knowledge, with distributed knowledge, and with both common and distributed knowledge, respectively. Furthermore, we completely characterise the complexity of the satisfiability problem for each of the three logics. We also study logics with interaction axioms connecting coalitional ability and knowledge.
机译:联盟逻辑当前是多主体系统最流行的逻辑之一。虽然结合联盟运算符和认知运算符的逻辑已经引起了相当大的关注,但到目前为止,联盟逻辑的认知扩展的完整性结果还很缺失。在本文中,我们提供了几种这样的结果和证明。我们分别用常识,分布式知识,常识和分布式知识证明了认知联盟逻辑的完整性。此外,对于三个逻辑中的每一个,我们都完整地描述了可满足性问题的复杂性。我们还将研究具有联系联盟能力和知识的相互作用公理的逻辑。

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