Sciweavers

12 search results - page 1 / 3
» An Isomorphism Between Cut-Elimination Procedure and Proof R...
Sort
View
TLCA
2007
Springer
13 years 11 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
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
LICS
2008
IEEE
13 years 11 months ago
Cut Elimination for Monomial MALL Proof Nets
We present a syntax for MALL (multiplicative additive linear logic without units) proof nets which refines Girard’s one. It is also based on the use of monomial weights for ide...
Olivier Laurent, Roberto Maieli
CADE
2006
Springer
14 years 5 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...
LFCS
1992
Springer
13 years 8 months ago
Denotations for Classical Proofs - Preliminary Results
This paper addresses the problem of extending the formulae-as-types principle to classical logic. More precisely, we introduce a typed lambda-calculus (-LK ) whose inhabited types...
Philippe de Groote