Blockage Contraction.

Blockage contraction is an operation of belief contraction that acts directly on the outcome set, i.e. the set of logically closed subsets of the original belief set K that are potential contraction outcomes. Blocking is represented by a binary relation on the outcome set. If a potential outcome X b...

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Publicado en:Journal of Philosophical Logic Vol. 42; no. 2; pp. 415 - 443
Autor principal: Hansson, Sven
Formato: Artículo
Publicado: Springer Nature Apr2013
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        affil: Division of Philosophy, Royal Institute of Technology, Teknikringen 78 100 44 Stockholm Sweden
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        Abbreviations
        Existence theorems
        Division (Philosophy)
        Structural frames
        Borel subsets
        Operations research
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          Abbreviations
          Existence theorems
          Division (Philosophy)
          Structural frames
          Borel subsets
          Operations research
      keyword:
        AGM
        Belief bases
        Blockage contraction
        Blocking relation
        Kernel contraction
        Outcome set
        Partial meet contraction
        Repertoire contraction
      ab: Blockage contraction is an operation of belief contraction that acts directly on the outcome set, i.e. the set of logically closed subsets of the original belief set K that are potential contraction outcomes. Blocking is represented by a binary relation on the outcome set. If a potential outcome X blocks another potential outcome Y, and X does not imply the sentence p to be contracted, then Y ≠ K ÷ p. The contraction outcome K ÷ p is equal to the (unique) inclusion-maximal unblocked element of the outcome set that does not imply p. Conditions on the blocking relation are specified that ensure the existence of such a unique inclusion-maximal set for all sentences p. Blockage contraction is axiomatically characterized and its relations to AGM-style operations are investigated. In a finite-based framework, every transitively relational partial meet contraction is also a blockage contraction.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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