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From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices

Identifieur interne : 00AB38 ( Main/Merge ); précédent : 00AB37; suivant : 00AB39

From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices

Auteurs : Jean-Yves Marion

Source :

RBID : CRIN:marion99a

English descriptors

Abstract

The additive fragment of linear logic is complete for general (non-distributive) lattices. A sequent calculus for general lattices is presented with multiple antecedents and succedents. This construction is extended to give a sequent calculus for propositional linear logic with both additive and multiplicative contexts. Then, various decision procedures are investigated for general lattices.

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CRIN:marion99a

Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="1169">The additive fragment of linear logic is complete for general (non-distributive) lattices. A sequent calculus for general lattices is presented with multiple antecedents and succedents. This construction is extended to give a sequent calculus for propositional linear logic with both additive and multiplicative contexts. Then, various decision procedures are investigated for general lattices.</div>
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