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- Title
Terminating sequent calculi for two intuitionistic modal logics.
- Authors
Iemhoff, Rosalie
- Abstract
This paper presents sequent calculi in which proof search is terminating for two intuitionistic modal logics, the intuitionistic versions of the classical modal logics K and KD without a diamond operator. The calculi are extensions of the terminating sequent calculus |${\textsf{G4ip}}$| for intuitionistic propositional logic that was discovered independently by Dyckhoff and Hudelmaier around 1990. It is shown by proof-theoretic means that these terminating calculi are equivalent to the cutfree extensions of |${\textsf{G3ip}}$| that form some of the standard calculi for intuitionistic modal logics.
- Subjects
INTUITIONISTIC mathematics; EPISTEMIC logic; SEQUENT calculus; PROPOSITIONAL calculus; MODAL models
- Publication
Journal of Logic & Computation, 2018, Vol 28, Issue 7, p1701
- ISSN
0955-792X
- Publication type
Article
- DOI
10.1093/logcom/exy026