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

Jean-Yves Marion 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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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Article dans une revue
Theoretical Computer Science, Elsevier, 1999, 224 (1-2), pp.157-172
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https://hal.inria.fr/inria-00098803
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Soumis le : mardi 26 septembre 2006 - 08:38:43
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48

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  • HAL Id : inria-00098803, version 1

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Jean-Yves Marion. From multiple sequent for Additive Linear Logic to decision procedures for Free Lattices. Theoretical Computer Science, Elsevier, 1999, 224 (1-2), pp.157-172. 〈inria-00098803〉

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