PROOF THEORY OF EPISTEMIC LOGIC OF PROGRAMS.

A combination of epistemic logic and dynamic logic of programs is presented. Although rich enough to formalize some simple game-theoretic scenarios, its axiomatization is problematic as it leads to the paradoxical conclusion that agents are omniscient. A cut-free labelled Gentzen-style proof system...

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Publicado en:Logic & Logical Philosophy Vol. 23; no. 3; pp. 301 - 329
Autores principales: Maffezioli, Paolo, Naibo, Alberto
Formato: Artículo
Publicado: Logic & Logical Philosophy 2014
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Acceso en línea:Ver este registro en EBSCOhost
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          Maffezioli, Paolo
          Naibo, Alberto
        affil:
          Faculty of Philosophy University of Groningen Oude Boteringestraat 52 9712 GL Groningen, the Netherlands
          Department of Philosophy University of Paris 1 Panthéon-Sorbonne 17, rue de la Sorbonne 75005 Paris, France
      su:
        Epistemic logic
        Proof theory
        Modality (Theory of knowledge)
        Axioms
        Awareness
        Game theory
      sug:
        subj:
          Epistemic logic
          Proof theory
          Modality (Theory of knowledge)
          Axioms
          Awareness
          Game theory
      keyword:
        dynamic propositional logic
        epistemic logic
        epistemic paradox
        labelled sequent calculus
        structural proof theory
      ab: A combination of epistemic logic and dynamic logic of programs is presented. Although rich enough to formalize some simple game-theoretic scenarios, its axiomatization is problematic as it leads to the paradoxical conclusion that agents are omniscient. A cut-free labelled Gentzen-style proof system is then introduced where knowledge and action, as well as their combinations, are formulated as rules of inference, rather than axioms. This provides a logical framework for reasoning about games in a modular and systematic way, and to give a step-by-step reconstruction of agents omniscience. In particular, its semantic assumptions are made explicit and a possible solution can be found in weakening the properties of the knowledge operator.
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    language: English
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