Multimodal and intuitionistic logics in simple type theory

Logic Journal of the IGPL 18 (6):881-892 (2010)
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Abstract

We study straightforward embeddings of propositional normal multimodal logic and propositional intuitionistic logic in simple type theory. The correctness of these embeddings is easily shown. We give examples to demonstrate that these embeddings provide an effective framework for computational investigations of various non-classical logics. We report some experiments using the higher-order automated theorem prover LEO-II

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Christoph Benzmueller
Freie Universität Berlin

References found in this work

A formulation of the simple theory of types.Alonzo Church - 1940 - Journal of Symbolic Logic 5 (2):56-68.
Completeness in the theory of types.Leon Henkin - 1950 - Journal of Symbolic Logic 15 (2):81-91.
Type-logical semantics.Bob Carpenter - 1997 - Cambridge: MIT Press.

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