Semantics for dual preferential entailment

Journal of Philosophical Logic 38 (4):433 - 446 (2009)
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.
Keywords Nonmonotonic logic  Preference orders  Modal logic
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