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The mix rule

Published online by Cambridge University Press:  04 March 2009

Arnaud Fleury  and
Christian Retoré
Arnaud Fleury
Affiliation:
Equipe de Logique, UFR de Mathématiques, Université Denis Diderot (Paris 7), 2 place Jussieu, 75251 PARIS cedex 05retore@logique.jussieu.fr
Christian Retoré
Affiliation:
Equipe de Logique, UFR de Mathématiques, Université Denis Diderot (Paris 7), 2 place Jussieu, 75251 PARIS cedex 05retore@logique.jussieu.fr
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Abstract

We have found both a proofnet criterion and a sequent calculus for the multiplicative fragment with units ( ⊗1,℘,0, atoms), but without the ┴-boxes of Girard (1987), which differentiate between 1 and ┴. We have also proved that for any of our proofnets there is a corresponding sequential proof.

Information

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 4 , Issue 2 , June 1994 , pp. 273 - 285
Copyright
Copyright © Cambridge University Press 1994

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