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:
Acceso en línea:Ver este registro en EBSCOhost
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          Britz, Katarina
          Heidema, Johannes
          Labuschagne, Willem
        affil:
          Department of Mathematical Sciences, University of South Africa, Pretoria South Africa
          Department of Computer Science, University of Otago, Dunedin New Zealand
      su:
        Semantics
        Boolean algebra
        Inference (Logic)
        Information theory
        Duality (Logic)
      sug:
        subj:
          Semantics
          Boolean algebra
          Inference (Logic)
          Information theory
          Duality (Logic)
      keyword:
        Modal logic
        Nonmonotonic logic
        Preference orders
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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