Probabilistic justification logic

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Abstract

We present a probabilistic justification logic, PPJ, to study rational belief, degrees of belief and justifications.We establish soundness and completeness for PPJ and show that its satisfiability problem is decidable. In the last part we use PPJ to provide a solution to the lottery paradox.

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Kokkinis, I., Ognjanović, Z., & Studer, T. (2016). Probabilistic justification logic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9537, pp. 174–186). Springer Verlag. https://doi.org/10.1007/978-3-319-27683-0_13

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