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What Does Entailment for PTL Mean?


  • Authors:
    Booth, R. , Giovanni Casini , Tommie Meyer , Ivan Varzinczak

    Publication date:

    CSIR Meraka Institute

    Output type:
    Conference proceedings



    We continue recent investigations into the problem of reasoning about typicality. We do so in the framework of Propositional Typicality Logic (PTL), which is obtained by enriching classical propositional logic with a typicality operator and characterized by a preferential semantics `a la KLM. In this paper we study different notions of entailment for PTL. We take as a starting point the notion of Rational Closure defined for KLM-style conditionals. We show that the additional expressivity of PTL results in different versions of Rational Closure for PTL — versions that are equivalent with respect to the conditional language originally proposed by KLM.

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