Preferential and Preferential-discriminative Consequence
نویسنده
چکیده
The present paper investigates consequence relations that are both paraconsistent and plausible (generally nonmonotonic too). More precisely, we lay the focus on preferential consequence relations, i.e. those relations that can be defined by a binary preference relation on states labelled by valuations (such as in Non-monotonic Reasoning). The first purpose of the paper is to provide characterizations for families of them, in a general framework that covers e.g. the ones of the well-known paraconsistent logics J3 and FOUR. The second and main purpose is to provide, again in a general framework, characterizations for families of preferentialdiscriminative consequence relations. The latter are defined exactly as the plain versions, except that among the conclusions, a formula is rejected if its negation is also present. A previous version of this paper has been published: The Journal of Logic and Computation, 15(3):263-294, 2005. The present version contains improvements about the presentation. Consequently, section ordering, definition numbers, proposition numbers, etc. are different according to whether the present or the previous version is considered.
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Preferential and Preferential-discriminative Consequence relations
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