摘要: The objective of this paper is to identify a class epistemic logic theories with group knowledge operators which have the fundamental property being characterized by finite number models (up equivalence). We specifically focus on S5-theories. call as finitary S5 -theories. Models S5-theories can be shown canonical in that they do not contain two worlds same interpretation. When theory pure, these are minimal and differ from each other only actual world. presents an algorithm for computing all S5-theory. Finitary find applications several contexts–in particular, discusses their use multi-agent planning.

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