|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||A logic with coherent conditional probabilities||Journal:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)||Volume:||3571||First page:||726||Last page:||736||Conference:||8th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2005; Barcelona; Spain; 6 July 2005 through 8 July 2005||Issue Date:||1-Jan-2005||Rank:||M22||ISBN:||978-3-540-27326-4||ISSN:||0302-9743||DOI:||10.1007/11518655_61||Abstract:||
In this paper we investigate a probability logic which enriches propositional calculus with a class of conditional probability operators of de Finetti's type. The logic allows making formulas such as CP≥ s (β | α), with the intended meaning "the conditional probability of β given α is at least s". A possible-world approach is proposed to give semantics to such formulas. An infinitary axiomatic system for our logic which is sound and complete with respect to the mentioned class of models is given. We prove decidability of the presented logic.
|Keywords:||Probability Logic | Conditional probability||Publisher:||Springer Link||Project:||Methods of Mathematical Logic for Decision Support in Real Life Situations|
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