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Subformula semantics for strong negation systems

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Abstract

We present a semantics for strong negation systems on the basis of the subformula property of the sequent calculus. The new models, called subformula models, are constructed as a special class of canonical Kripke models for providing the way from the cut-elimination theorem to model-theoretic results. This semantics is more intuitive than the standard Kripke semantics for strong negation systems.

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Authors and Affiliations

  1. 1-20-1, Higashi-Yurigaoka, Asao-ku, Kawasaki-shi, 215, Japan

    Seiki Akama

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  1. Seiki Akama
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Akama, S. Subformula semantics for strong negation systems. J Philos Logic 19, 217–226 (1990). https://doi.org/10.1007/BF00263542

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  • DOI: https://doi.org/10.1007/BF00263542

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