Interpretations of intuitionist logic in non-normal modal logics

Journal of Philosophical Logic 28 (1):47-60 (1999)
Abstract
Historically, it was the interpretations of intuitionist logic in the modal logic S4 that inspired the standard Kripke semantics for intuitionist logic. The inspiration of this paper is the interpretation of intuitionist logic in the non-normal modal logic S3: an S3 model structure can be 'looked at' as an intuitionist model structure and the semantics for S3 can be 'cashed in' to obtain a non-normal semantics for intuitionist propositional logic. This non-normal semantics is then extended to intuitionist quantificational logic
Keywords logic  intuitionist logic  modal logic  semantics  model(s)
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DOI 10.1023/A:1004324522424
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References found in this work BETA
A. S. Troelstra (1988). Constructivism in Mathematics: An Introduction. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Kurt Gödel (1986). Collected Works. Oxford University Press.
Ian Hacking (1963). What is Strict Implication? Journal of Symbolic Logic 28 (1):51-71.

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