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» What Is the Problem with Proof Nets for Classical Logic
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CIE
2010
Springer
13 years 9 months ago
What Is the Problem with Proof Nets for Classical Logic?
This paper is an informal (and nonexhaustive) overview over some existing notions of proof nets for classical logic, and gives some hints why they might be considered to be unsatis...
Lutz Straßburger
TLCA
2005
Springer
13 years 10 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
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
TLCA
2009
Springer
13 years 11 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
LICS
2010
IEEE
13 years 3 months ago
Breaking Paths in Atomic Flows for Classical Logic
This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propos...
Alessio Guglielmi, Tom Gundersen, Lutz Straß...