Analytic Tableaux Calculi for KLM Logics of Nonmonotonic Reasoning
  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. 
Laura Giordano, Valentina Gliozzi, Nicola Olivetti, and Gian Luca   Pozzato