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From multiple sequent for additive linear logic to decision procedures for free lattices

Identifieur interne : 00A844 ( Main/Curation ); précédent : 00A843; suivant : 00A845

From multiple sequent for additive linear logic to decision procedures for free lattices

Auteurs : Jean-Yves Marion [France]

Source :

RBID : ISTEX:8085993A8FC74D69CBBC4756251EBEE223170CB4

Descripteurs français

English descriptors

Abstract

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

Url:
DOI: 10.1016/S0304-3975(98)00311-9

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ISTEX:8085993A8FC74D69CBBC4756251EBEE223170CB4

Le document en format XML

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