From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices
Identifieur interne : 002492 ( Hal/Curation ); précédent : 002491; suivant : 002493From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices
Auteurs : Jean-Yves Marion [France]Source :
- Theoretical Computer Science [ 0304-3975 ] ; 1999.
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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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<front><div type="abstract" xml:lang="en">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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