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Semantics for Dual Preferential Entailment.

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 prefere...

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Publicado en:Journal of Philosophical Logic Vol. 38; no. 4; pp. 433 - 447
Autores principales: Britz, Katarina, Heidema, Johannes, Labuschagne, Willem
Formato: Artículo
Publicado: Springer Nature Aug2009
Materias:
Semantics
Boolean algebra
Inference (Logic)
Information theory
Duality (Logic)
Acceso en línea:Ver este registro en EBSCOhost
Sumario: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.