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WOLLIC
2009
Springer
13 years 11 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
13 years 10 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
TLCA
2005
Springer
13 years 9 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
CIE
2007
Springer
13 years 8 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
CADE
2006
Springer
14 years 4 months ago
Strong Cut-Elimination Systems for Hudelmaier's Depth-Bounded Sequent Calculus for Implicational Logic
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
Roy Dyckhoff, Delia Kesner, Stéphane Lengra...