A model of a dependent linear calculus

Guillaume Bonfante 1 François Lamarche 1 Thomas Streicher
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a full categorical account, based on Grothendieck fibrations, of what it means for a linear calculus to have dependent types, and we give a term assignment system which merges well with this axiomatization. We construct a model that obeys these categorical axioms, based on the category of graphs.
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https://hal.inria.fr/inria-00100697
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Submitted on : Tuesday, September 26, 2006 - 2:49:44 PM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM

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Guillaume Bonfante, François Lamarche, Thomas Streicher. A model of a dependent linear calculus. [Intern report] A01-R-262 || bonfante01c, 2001, 13 p. ⟨inria-00100697⟩

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