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Dual-Context Sequent Calculus and Strict Implication
Mathematical Logic Quarterly 48 (1):87-92 (2002)
Abstract
We introduce a dual-context style sequent calculus which is complete with respectto Kripke semantics where implication is interpreted as strict implication in the modal logic K. The cut-elimination theorem for this calculus is proved by a variant of Gentzen's method.Other Versions
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Citations of this work
Lyndon’s interpolation property for the logic of strict implication.Narbe Aboolian & Majid Alizadeh - 2022 - Logic Journal of the IGPL 30 (1):34-70.
A cut-free Gentzen formulation of basic propositional calculus.Kentaro Kikuchi & Katsumi Sasaki - 2003 - Journal of Logic, Language and Information 12 (2):213-225.
References found in this work
Weak Logics with Strict Implication.Giovanna Corsi - 1987 - Mathematical Logic Quarterly 33 (5):389-406.
Algorithmic proof methods and cut elimination for implicational logics part I: Modal implication.Dov M. Gabbay & Nicola Olivetti - 1998 - Studia Logica 61 (2):237-280.
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