|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||A probabilistic logic with polynomial weight formulas||Journal:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)||Volume:||4932 LNCS||First page:||239||Last page:||252||Conference:||5th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2008; Pisa; Italy; 11 February 2008 through 15 February 2008||Issue Date:||1-Jan-2008||Rank:||M23||ISBN:||978-3-540-77683-3||ISSN:||0302-9743||DOI:||10.1007/978-3-540-77684-0_17||Abstract:||
The paper presents a sound and strongly complete axiomatization of reasoning about polynomial weight formulas. In addition, the PSPACE decision procedure for polynomial weight formulas developed by Fagin, Halpern and Megiddo works for our logic as well. The introduced formalism allows the expression of qualitative probability statements, conditional probability and Bayesian inference. © 2008 Springer-Verlag Berlin Heidelberg.
|Keywords:||Probabilistic logics | Polynomials | Polynomial weight | Bayesian inference||Publisher:||Springer Link|
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