The G4i Analogue of a G3i Sequent Calculus

Abstract

AbstractThis paper provides a method to obtain terminating analytic calculi for a large class of intuitionistic modal logics. For a given logic with a cut-free calculus that is an extension of the method produces a terminating analytic calculus that is an extension of and equivalent to . was introduced by Roy Dyckhoff in 1992 as a terminating analogue of the calculus for intuitionistic propositional logic. Thus this paper can be viewed as an extension of Dyckhoff’s work to intuitionistic modal logic.