Abstract : The Medial rule was first devised as a deduction rule in the Calculus of Structures. In this paper we explore it from the point of view of category theory, as additional structure on a *-autonomous category. This gives us some insights on the denotational semantics of classical propositional logic, and allows us to construct new models for it, based on suitable generalizations of the theory of coherence spaces.
https://hal.inria.fr/inria-00113785
Contributor : Francois Lamarche
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Submitted on : Wednesday, November 14, 2007 - 4:00:30 PM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM
Long-term archiving on: Tuesday, April 6, 2010 - 6:42:38 PM
François Lamarche. Exploring the Gap between Linear and Classical Logic. Theory and Applications of Categories, Mount Allison University, 2007, 18 (17), 473--535 (63 p.). ⟨inria-00113785⟩
