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Model structures on categories of models of type theories
Published online by Cambridge University Press: 28 September 2017
Abstract
Models of dependent type theories are contextual categories with some additional structure. We prove that if a theory T has enough structure, then the category T-Mod of its models carries the structure of a model category. We also show that if T has Σ-types, then weak equivalences can be characterized in terms of homotopy categories of models.
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- Information
- Mathematical Structures in Computer Science , Volume 28 , Issue 10 , November 2018 , pp. 1695 - 1722
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- Copyright © Cambridge University Press 2017
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