Analytic Tableaux Calculi for KLM Logics of Nonmonotonic Reasoning
arXiv:cs/0611046
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.
54 pages + appendix with proofs