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.
https://hal.inria.fr/inria-00098803
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Submitted on : Tuesday, September 26, 2006 - 8:38:43 AM Last modification on : Friday, February 26, 2021 - 3:28:03 PM
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⟩