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
Contributeur : Francois Lamarche
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Soumis le : mercredi 14 novembre 2007 - 16:00:30
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48
Document(s) archivé(s) le : mardi 6 avril 2010 - 18:42:38
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〉
