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...
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...
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...
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
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...