On modal probability and belief

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Abstract

We investigate a simple modal logic of probability with a unary modal operator expressing that a proposition is more probable than its negation. Such an operator is not closed under conjunction, and its modal logic is therefore non-normal. Within this framework we study the relation of probability with other modal concepts: belief and action.

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Herzig, A., & Longin, D. (2003). On modal probability and belief. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 2711, pp. 62–73). Springer Verlag. https://doi.org/10.1007/978-3-540-45062-7_5

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