A First-Order Logic for Reasoning about Knowledge and Probability

Autor:	Tomović, Siniša, Ognjanović, Zoran, Doder, Dragan
Rok vydání:	2019
Předmět:	Computer Science - Logic in Computer Science Probabilistic reasoning Reasoning about belief and knowledge Modal and temporal logics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 29. pages. This paper is revised and extended version of the conference paper presented at the Thirteenth European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2015), in which we introduced the propositional variant of the logic presented here, using a similar axiomatization technique
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.06886 Zobrazit plný text záznamu View this record from Arxiv