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Abstract: We propose a connection-based characterization of the multiplicative fragment of non-commutative logic (MNL), that is a conservative extension of both commutative (MLL) and non-commutative or cyclic (MCyLL) linear logic. It is based on a characterization for MLL together with the introduction of labels and constraints from a formula polarization process. We also study a similar characterization for the intuitionistic fragment of MNL. Finally, we consider the relationships between these results... (Update)
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BibTeX entry: (Update)
@misc{ galmiche-connectionbased,
author = "D. Galmiche and J.-M. Notin",
title = "Connection-Based Proof Construction in Non-Commutative Logic",
url = "citeseer.ist.psu.edu/697463.html" }
Citations (may not include all citations):88 Linear Logic: its Syntax and Semantics - Girard - 1995
58 The Logic of Bunched Implications (context) - O'Hearn, Pym - 1999
42 Non-commutative logic I : the multiplicative fragment - Abrusci, Ruet - 2000
40 Proof nets: the parallel syntax for proof theory (context) - Girard - 1995
29 Non-commutative logic II : sequent calculus and phase semant.. - Ruet - 2000
23 Connection-based proof construction in Linear Logic - Kreitz, Mantel et al. - 1997
18 Annals of Pure and Applied Logic (context) - Andreoli, Proof - 2001
15 Connection Methods in Linear Logic and Proof nets Constructi.. - Galmiche - 2000
14 A procedure for automatic proof nets construction - Galmiche, Perrier - 1992
14 Concurrent constraint programming and non-commutative logic - Ruet, Fages - 1997
5 Proof-search and Proof nets in Mixed Linear Logic (context) - Galmiche, Notin - 2000
5 Proof construction and non-commutativity: a cluster calculus - Faggian - 2000
4 Dominator trees and fast veri cation of proof net (context) - Murawski, Ong - 2000
3 Connection-based proof search in propositional BI logic - Galmiche, Mry - 2002
3 Calculi with Dependency Relations for Mixed Linear Logic - Galmiche, Notin - 2001
[Article contains additional citations not shown here]
Documents on the same site (http://www.loria.fr/~galmiche/papers.html): More
SKIL: A System for Programming with Proofs - Galmiche, Hermann (1993) (Correct)
On Proof Normalization in Linear Logic - Galmiche, Perrier (1994) (Correct)
Program Development in Constructive Type Theory - Galmiche (1992) (Correct)
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