Useful Adaptive Logics for Rational and Paraconsistent Reasoning

We introduce a family of logics that are particularly useful for reasoning with uncertainty. The consequence relations considered here are deened by a simple and natural semantics, and have many desirable properties. In particular, these relations are nonmonotonic, paraconsistent, adaptive in the sense of Batens, plausibility logics in the sense of Lehmann, and rational in the sense of Lehmann and Magidor. Abstract We introduce a family of logics that are particularly useful for reasoning with uncertainty. The consequence relations considered here are deened by a simple and natural semantics, and have many desirable properties. In particular, these relations are nonmonotonic, para-consistent, adaptive in the sense of Batens, plausibility logics in the sense of Lehmann, and rational in the sense of Lehmann and Magidor.