Abstract
Strictly speaking, Intuitionistic logic is not a modal logic. There are, after all, no modal operators in the language. It is a subsystem of Classical logic, not an extension of it. But Gödel [1933] recognized that Intuitionistic logic could be interpreted naturally into one of the standard modal logics, S4. And so Kripke was led to create a model theory for Intuitionistic logic which is very similar to his S4 models, see Kripke [1965A]. (Also see Dummett [1977] pg 214.) Tableau techniques having similarities to those of S4 can be developed. Consequently we have included a treatment of Intuitionistic logic in a book that is largely about modal logics.
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© 1983 Springer Science+Business Media Dordrecht
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Fitting, M. (1983). Intuitionistic Logic. In: Proof Methods for Modal and Intuitionistic Logics. Synthese Library, vol 169. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2794-5_10
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DOI: https://doi.org/10.1007/978-94-017-2794-5_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8381-4
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