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Part of the book series: Synthese Library ((SYLI,volume 92))

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Abstract

We give a model theoretic proof of Robinson’s consistency theorem for various modal logics and from it derive in the usual way, the interpolation theorem. The main proof is given for the system K and the same method applies to many other systems.

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© 1976 D. Reidel Publishing Company, Dordrecht, Holland

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Gabbay, D.M. (1976). The Interpolation Theorem. In: Investigations in Modal and Tense Logics with Applications to Problems in Philosophy and Linguistics. Synthese Library, vol 92. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1453-3_21

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  • DOI: https://doi.org/10.1007/978-94-010-1453-3_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1455-7

  • Online ISBN: 978-94-010-1453-3

  • eBook Packages: Springer Book Archive

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