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Analytic Tableaux Calculi for KLM Logics of Nonmonotonic Reasoning

Laura Giordano·Valentina Gliozzi·Nicola Olivetti·Gian Luca Pozzato
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Abstract

We present tableau calculi for some logics of nonmonotonic reasoning, as defined by Kraus, Lehmann and Magidor. We give a tableau proof procedure for all KLM logics, namely preferential, loop-cumulative, cumulative and rational logics. Our calculi are obtained by introducing suitable modalities to interpret conditional assertions. We provide a decision procedure for the logics considered, and we study their complexity.

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Laura Giordano, Valentina Gliozzi, Nicola Olivetti, Gian Luca Pozzato. 2006-11-10. Analytic Tableaux Calculi for KLM Logics of Nonmonotonic Reasoning. https://arxiv.org/abs/cs/0611046

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