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TLCA
2001
Springer
13 years 9 months ago
Strong Normalisation for a Gentzen-like Cut-Elimination Procedure
In this paper we introduce a cut-elimination procedure for classical logic, which is both strongly normalising and consisting of local proof transformations. Traditional cut-elimin...
Christian Urban
LFCS
1992
Springer
13 years 9 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
JAR
2010
123views more  JAR 2010»
13 years 3 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller
CORR
2006
Springer
104views Education» more  CORR 2006»
13 years 4 months ago
From Proof Nets to the Free *-Autonomous Category
Abstract. In the first part of this paper we present a theory of proof nets for full multiplicative linear logic, including the two units. It naturally extends the well-known theor...
François Lamarche, Lutz Straßburger
CSL
2001
Springer
13 years 9 months ago
Non-commutativity and MELL in the Calculus of Structures
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Alessio Guglielmi, Lutz Straßburger