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

Identifieur interne : 002476 ( Crin/Corpus ); précédent : 002475; suivant : 002477

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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<title xml:lang="en" wicri:score="93">From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices</title>
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<idno type="RBID">CRIN:marion99a</idno>
<date when="1999" year="1999">1999</date>
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<title xml:lang="en">From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices</title>
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<title level="j">Theoretical Computer Science - TCS</title>
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<term>additive linear logic</term>
<term>decision procedure</term>
<term>free lattices</term>
<term>sequent calculus</term>
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<front>
<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>
</front>
</TEI>
<BibTex type="article">
<ref>marion99a</ref>
<crinnumber>99-R-003</crinnumber>
<category>1</category>
<equipe>CALLIGRAMME</equipe>
<author>
<e>Marion, Jean-Yves</e>
</author>
<title>From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices</title>
<journal>Theoretical Computer Science - TCS</journal>
<year>1999</year>
<volume>224</volume>
<number>1-2</number>
<pages>157-172</pages>
<month>Aug</month>
<note>Editor S. Adian</note>
<keywords>
<e>free lattices</e>
<e>additive linear logic</e>
<e>sequent calculus</e>
<e>decision procedure</e>
</keywords>
<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.</abstract>
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