Authors: Marković, Zoran 
Ognjanović, Zoran 
Rašković, Miodrag 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A probabilistic logic based on propositional intuitionistic logic
First page: 784
Last page: 787
Conference: 37th International scientific conference on information, communication and energy systems and technologies, ISECST 2002, 1-4 October 2002, Niš, Jugoslavia
Issue Date: 2002
Rank: M33
URL: http://rcvt.tu-sofia.bg/WSI.14.pdf
Abstract: 
We introduce a probabilistic extension of propositional intuitionistic logic. The logic allows making statements such as P≥sA, with the intended meaning "the probability of truthfulness of A is greater than or equal to s. We describe the corresponding class of models, which are Kripke models with a naturally arrising notion of probability, and give a sound and complete infinitary axiomatic system. We prove that the logic is decidable.
Keywords: probabilistic logic | intuitionistic logic | completeness | decidability
Publisher: ICEST
Project: Methods of Mathematical Logic for Decision Support in Real Life Situations 

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