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Categorial Inference and Modal Logic

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Abstract

This paper establishes a connection between structure sensitive categorial inference and classical modal logic. The embedding theorems for non-associative Lambek Calculus and the whole class of its weak Sahlqvist extensions demonstrate that various resource sensitive regimes can be modelled within the framework of unimodal temporal logic. On the semantic side, this requires decomposition of the ternary accessibility relation to provide its correlation with standard binary Kripke frames and models.

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Authors and Affiliations

  1. Institute for Research in Cognitive Science, University of Pennsylvania, 3401 Walnut Street, Suite 4006, Philadelphia, PA, 19104-6228, U.S.A.

    Natasha Kurtonina

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  1. Natasha Kurtonina
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Kurtonina, N. Categorial Inference and Modal Logic. Journal of Logic, Language and Information 7, 399–411 (1998). https://doi.org/10.1023/A:1008322125368

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  • DOI: https://doi.org/10.1023/A:1008322125368

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