Abstract
In this paper, we propose the logic for reasoning about probabilistic belief, called PBL f . Our language includes formulas that essentially express “agent i believes that the probability of ϕ is at least p”. We first provide an inference system of PBL f , and then introduce a probabilistic semantics for PBL f . The soundness and finite model property of PBL f are proven.
This work was supported by the National Natural Science Foundation of China under Grant 60473036.
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Cao, Z. (2007). A Complete Probabilistic Belief Logic. In: Inoue, K., Satoh, K., Toni, F. (eds) Computational Logic in Multi-Agent Systems. CLIMA 2006. Lecture Notes in Computer Science(), vol 4371. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69619-3_5
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DOI: https://doi.org/10.1007/978-3-540-69619-3_5
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