Intuitionistic propositional probability logic

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Mathematical Logic Quarterly 68 (4):479-495 (2022)
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Abstract

We give a sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators is also intuitionistic (in contradistinction to other works on this topic), i.e., measure functions used for modeling probability operators are partial functions. Finally, we present a decision procedure for our logic, which is a combination of linear programming and an intuitionistic tableaux method.

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10.1002/malq.202100052

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Mateja Knezevic
Université Claude Bernard Lyon I

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References found in this work

Probabilistic logic.Nils J. Nilsson - 1986 - Artificial Intelligence 28 (1):71-87.
Generalized probabilism: Dutch books and accuracy domi- nation.J. Robert G. Williams - 2012 - Journal of Philosophical Logic 41 (5):811-840.
From Classical to Intuitionistic Probability.Brian Weatherson - 2003 - Notre Dame Journal of Formal Logic 44 (2):111-123.
A probabilistic extension of intuitionistic logic.Z. Ognjanovic & Z. Markovic - 2003 - Mathematical Logic Quarterly 49 (4):415.

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