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doi:10.1016/S0304-3975(98)00311-9    
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Copyright © 1999 Published by Elsevier Science B.V.

Contribution

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

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Jean-Yves MarionE-mail The Corresponding Author

Université Nancy 2, Loria, Projet Calligramme, Campus Scientifique — B.P. 239, 54506, Vandoeuvre-lès-Nancy Cedex, France


Available online 4 October 1999.

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.

Author Keywords: Free lattices; Additive linear logic; Sequent calculus; Decision procedure

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