A model of a dependent linear calculus
Identifieur interne : 009A15 ( Main/Merge ); précédent : 009A14; suivant : 009A16A model of a dependent linear calculus
Auteurs : Guillaume Bonfante [France] ; François Lamarche [France] ; Thomas StreicherSource :
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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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Hal:inria-00100697Le document en format XML
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<front><div type="abstract" xml:lang="en">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.</div>
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