Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
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ACM Transactions on Computational Logic (TOCL)
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ACM Transactions on Computational Logic (TOCL)
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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.