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TLCA
2005
Springer
14 years 4 months ago
Semantic Cut Elimination in the Intuitionistic Sequent Calculus
Cut elimination is a central result of the proof theory. This paper proposes a new approach for proving the theorem for Gentzen’s intuitionistic sequent calculus LJ, that relies ...
Olivier Hermant
WOLLIC
2009
Springer
14 years 5 months ago
Forcing-Based Cut-Elimination for Gentzen-Style Intuitionistic Sequent Calculus
We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
Hugo Herbelin, Gyesik Lee
TLCA
2007
Springer
14 years 4 months ago
An Isomorphism Between Cut-Elimination Procedure and Proof Reduction
Abstract. This paper introduces a cut-elimination procedure of the intuitionistic sequent calculus and shows that it is isomorphic to the proof reduction of the intuitionistic natu...
Koji Nakazawa
CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 11 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
CIE
2007
Springer
14 years 2 months ago
Confluence of Cut-Elimination Procedures for the Intuitionistic Sequent Calculus
We prove confluence of two cut-elimination procedures for the implicational fragment of a standard intuitionistic sequent calculus. One of the cut-elimination procedures uses globa...
Kentaro Kikuchi