The G4i analogue of a G3i calculus

Rosalie Iemhoff

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arXiv · 2011.11847

The G4i analogue of a G3i calculus

Rosalie Iemhoff

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Abstract

This paper provides a method to obtain terminating analytic calculi for a large class of intuitionistic modal logics. For a given logic L with a cut-free calculus G that is an extension of G3ip the method produces a terminating analytic calculus that is an extension of G4ip and equivalent to G. G4ip has been introduced by Dyckhoff in 1992 as a terminating analogue of the calculus G3ip for intuitionistic propositional logic. Thus this paper can be viewed as an extension of Dyckhoff's work to intuitionistic modal logic. (This is a corrected version (21 August 2026) of an earlier arXiv version that contained a mistake in Theorem 3.4.)

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Rosalie Iemhoff. 2020-11-20. The G4i analogue of a G3i calculus. https://arxiv.org/abs/2011.11847

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