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arXiv · 1901.06886

A First-Order Logic for Reasoning about Knowledge and Probability

Siniša Tomović·Zoran Ognjanović·Dragan Doder
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Abstract

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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Siniša Tomović, Zoran Ognjanović, Dragan Doder. 2019-01-21. A First-Order Logic for Reasoning about Knowledge and Probability. https://arxiv.org/abs/1901.06886

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