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Semantics for Dual Preferential Entailment
Journal of Philosophical Logic 38 (4):433-446 (2009)
Abstract
We introduce and explore the notion of duality for entailment relations induced by preference orderings on states. We discuss the relationship between these preferential entailment relations from the perspectives of Boolean algebra, inference rules, and modal axiomatisation. Interpreting the preference relations as accessibility relations establishes modular Gödel-Löb logic as a suitable modal framework for rational preferential reasoning.My notes
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Citations of this work
Qualitative Decision Theory Via Channel Theory.Gerard Allwein, Yingrui Yang & William L. Harrison - 2011 - Logic and Logical Philosophy 20 (1-2):81-110.
References found in this work
Nonmonotonic reasoning, preferential models and cumulative logics.Sarit Kraus, Daniel Lehmann & Menachem Magidor - 1990 - Artificial Intelligence 44 (1-2):167-207.
What does a conditional knowledge base entail?Daniel Lehmann & Menachem Magidor - 1992 - Artificial Intelligence 55 (1):1-60.
Large infinitary languages: model theory.M. A. Dickmann - 1975 - New York: American Elsevier Pub. Co..
Unifying default reasoning and belief revision in a modal framework.Craig Boutilier - 1994 - Artificial Intelligence 68 (1):33-85.
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