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A Probabilistic Logic with Polynomial Weight Formulas

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Foundations of Information and Knowledge Systems (FoIKS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4932))

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.

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Sven Hartmann Gabriele Kern-Isberner

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Perović, A., Ognjanović, Z., Rašković, M., Marković, Z. (2008). A Probabilistic Logic with Polynomial Weight Formulas. In: Hartmann, S., Kern-Isberner, G. (eds) Foundations of Information and Knowledge Systems. FoIKS 2008. Lecture Notes in Computer Science, vol 4932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77684-0_17

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  • DOI: https://doi.org/10.1007/978-3-540-77684-0_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77683-3

  • Online ISBN: 978-3-540-77684-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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