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CORR
2006
Springer
104views Education» more  CORR 2006»
13 years 5 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
CADE
2001
Springer
14 years 5 months ago
Canonical Propositional Gentzen-Type Systems
Canonical propositional Gentzen-type systems are systems which in addition to the standard axioms and structural rules have only pure logical rules with the subformula property, in...
Arnon Avron, Iddo Lev
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
MSCS
2007
125views more  MSCS 2007»
13 years 4 months ago
On categorical models of classical logic and the Geometry of Interaction
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Carsten Führmann, David J. Pym
TCAD
2008
116views more  TCAD 2008»
13 years 5 months ago
Scalable Synthesis and Clustering Techniques Using Decision Diagrams
BDDs have proven to be an efficient means to represent and manipulate Boolean formulae [1] and sets [2] due to their compactness and canonicality. In this work, we leverage the eff...
Andrew C. Ling, Jianwen Zhu, Stephen Dean Brown