Multiplicative Linear Logics and Fibrations

François Lamarche 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : we define a notion of fibration on generalized operads that automatically gives the categorical axiomatizion of a large class of multiplicative deductive systems we described in a previous paper. We illustrate it by showing examples taken from previously descirbed logics. Also we show interesting properties of the ctegory of structas, including the fact that it contains many well-known categories as subcategories, including the category of categories.
Keywords : grothendieck fibratio non commutative logic multiplicative linear logic substructural logic operad logique sous-structurelle operade fibration de grothendieck logic non commutative
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Conference papers
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Submitted on : Tuesday, September 26, 2006 - 2:51:11 PM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM

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François Lamarche. Multiplicative Linear Logics and Fibrations. Category Theory in computer science - CTCS'2002, R Blute, Ph. Scott, Nov 2002, Ottawa, Ontario, Canada, 21 p. ⟨inria-00100811⟩

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