Pooling Modalities and Pointwise Intersection: Semantics, Expressivity, and Dynamics.

We study classical modal logics with pooling modalities, i.e. unary modal operators that allow one to express properties of sets obtained by the pointwise intersection of neighbourhoods. We discuss salient properties of these modalities, situate the logics in the broader area of modal logics (with a...

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Publicado en:Journal of Philosophical Logic Vol. 51; no. 3; pp. 485 - 524
Autores principales: Van De Putte, Frederik, Klein, Dominik
Formato: Artículo
Publicado: Springer Nature Jun2022
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1007/s10992-021-09638-0
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        atl: Pooling Modalities and Pointwise Intersection: Semantics, Expressivity, and Dynamics.
      aug:
        au:
          Van De Putte, Frederik
          Klein, Dominik
        affil:
          Erasmus Institute for Philosophy and Economics, Erasmus School of Philosophy, Erasmus University of Rotterdam, Rotterdam, Netherlands
          Centre for Logic and Philosophy of Science, Department of Philosophy and Moral Science, Ghent University (Belgium), Ghent, Belgium
          Department of Philosophy and Religious Studies, Utrecht University, Utrecht, Netherlands
      su:
        Kripke semantics
        Delegation of powers
        Self-expression
        Neighborhoods
        Semantics
        Modal logic
      sug:
        subj:
          Kripke semantics
          Delegation of powers
          Self-expression
          Neighborhoods
          Semantics
          Modal logic
      keyword:
        Classical modal logics
        Distributed information
        Information dynamics
        Pointwise intersection
        Pooling modalities
        Power delegation
      ab: We study classical modal logics with pooling modalities, i.e. unary modal operators that allow one to express properties of sets obtained by the pointwise intersection of neighbourhoods. We discuss salient properties of these modalities, situate the logics in the broader area of modal logics (with a particular focus on relational semantics), establish key properties concerning their expressive power, discuss dynamic extensions of these logics and provide reduction axioms for the latter.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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