A First-order Logic for Reasoning about Knowledge and Probability

We present a first-order probabilistic epistemic logic, which allows combining operators of knowledge and probability within a group of possibly infinitely many agents. We define its syntax and semantics and prove the strong completeness property of the corresponding axiomatic system. 1

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Veröffentlicht in:ACM transactions on computational logic 2020-04, Vol.21 (2), p.1-30
Hauptverfasser: Tomović, S., Ognjanović, Z., Doder, D.
Format: Artikel
Sprache:eng
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Zusammenfassung:We present a first-order probabilistic epistemic logic, which allows combining operators of knowledge and probability within a group of possibly infinitely many agents. We define its syntax and semantics and prove the strong completeness property of the corresponding axiomatic system. 1
ISSN:1529-3785
1557-945X
DOI:10.1145/3359752