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Analytic Tableaux for KLM Preferential and Cumulative Logics

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3835))

Abstract

We present tableau calculi for some logics of default reasoning, as defined by Kraus, Lehmann and Magidor. We give a tableau proof procedure for preferential and cumulative logics. Our calculi are obtained by introducing suitable modalities to interpret conditional assertions. Moreover, they give a decision procedure for the respective logics and can be used to establish their complexity.

This research has been partially supported by the project MIUR PRIN 2003 ”Logic-based development and verication of multi-agent systems”.

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© 2005 Springer-Verlag Berlin Heidelberg

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Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L. (2005). Analytic Tableaux for KLM Preferential and Cumulative Logics. In: Sutcliffe, G., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2005. Lecture Notes in Computer Science(), vol 3835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11591191_46

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  • DOI: https://doi.org/10.1007/11591191_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30553-8

  • Online ISBN: 978-3-540-31650-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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