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Common knowledge in well-structured perfect recall systems
Author(s) -
Natalia Garanina
Publication year - 2014
Publication title -
automatic control and computer sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.299
H-Index - 17
eISSN - 1558-108X
pISSN - 0146-4116
DOI - 10.3103/s0146411614070086
Subject(s) - computer science , decidability , fragment (logic) , recall , common knowledge (logic) , model checking , theoretical computer science , artificial intelligence , programming language , description logic , epistemic modal logic , cognitive psychology , psychology , multimodal logic
In this paper, a model checking problem for the μPLCn logic of common knowledge and fixpoints in well-structured multiagent systems with perfect recall is investigated. It is shown that a synchronous perfect recall environment generated by a well-structured environment and provided with a special PRS order forms a well-structured environment. This implies that the model checking problem for the disjunctive fragment of μPLCn is decidable.

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