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arXiv · 1704.04747

Categories with Dependence and Semantics of Dependent Types

Norihiro Yamada
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Abstract

The present paper gives a generalization of cartesian closed categories, called cartesian closed categories with dependence, whose strict version induces categories with families that support 1-, Sigma- and Pi-types in the strict sense. Consequently, we have obtained a new semantics of dependent type theories that is both categorical and true-to-syntax.

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Norihiro Yamada. 2017-04-16. Categories with Dependence and Semantics of Dependent Types. https://arxiv.org/abs/1704.04747

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