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A First-Order Logic for Reasoning about Knowledge and Probability

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arxiv 1901.06886 v1 pith:6ZYMYJBW submitted 2019-01-21 cs.LO

classification cs.LO
keywords logicfirst-orderknowledgeprobabilityagentsallowsaxiomaticcombining
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We present a first-order probabilistic epistemic logic, which allows combining operators of knowledge and probability within a group of possibly infinitely many agents. The proposed framework is the first order extension of the logic of Fagin and Halpern from (J.ACM 41:340-367,1994). We define its syntax and semantics, and prove the strong completeness property of the corresponding axiomatic system.

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