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On the complexity of propositional quantification in intuitionistic logic

Published online by Cambridge University Press:  12 March 2014

Philip Kremer
Philip Kremer*
Affiliation:
Department of Philosophy, Yale University, P.O. Box 208306, New Haven, CT 06520-8306, USA, E-mail: philip.kremer@yale.edu
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Abstract

We define a propositionally quantified intuitionistic logic Hπ+ by a natural extension of Kripke's semantics for propositional intuitionistic logic. We then show that Hπ+ is recursively isomorphic to full second order classical logic. Hπ+ is the intuitionistic analogue of the modal systems S5π+, S4π+, S4.2π+, K4π+, Tπ+, Kπ+ and Bπ+, studied by Fine.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 2 , June 1997 , pp. 529 - 544
Copyright
Copyright © Association for Symbolic Logic 1997

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References

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