On Sahlqvist Formulas in Relevant Logic.

This paper defines a Sahlqvist fragment for relevant logic and establishes that each class of frames in the Routley-Meyer semantics which is definable by a Sahlqvist formula is also elementary, that is, it coincides with the class of structures satisfying a given first order property calculable by a...

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Publicado en:Journal of Philosophical Logic Vol. 47; no. 4; pp. 673 - 692
Autor principal: Badia, Guillermo
Formato: Artículo
Publicado: Springer Nature Aug2018
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: On Sahlqvist Formulas in Relevant Logic.
      aug:
        au: Badia, Guillermo
        affil: Department of Knowledge-Based Mathematical Systems, Johannes Kepler Universität, Linz, Austria
      su:
        Relevance logic
        Mathematical analysis
        Theory of knowledge
        Definability theory (Mathematical logic)
        Semantics
      sug:
        subj:
          Relevance logic
          Mathematical analysis
          Theory of knowledge
          Definability theory (Mathematical logic)
          Semantics
      keyword:
        Correspondence theory
        Frame definability
        Relevant logic
        Routley-Meyer semantics
        Sahlqvist’s correspondence
      ab: This paper defines a Sahlqvist fragment for relevant logic and establishes that each class of frames in the Routley-Meyer semantics which is definable by a Sahlqvist formula is also elementary, that is, it coincides with the class of structures satisfying a given first order property calculable by a Sahlqvist-van Benthem algorithm. Furthermore, we show that some classes of Routley-Meyer frames definable by a relevant formula are not elementary.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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