A Model of Parametric Dependent Type Theory in Bridge/Path Cubical Sets

Abstract

The purpose of this text is to prove all technical aspects of our model for dependent type theory with parametric quantifiers [Nuyts, Vezzosi and Devriese, 2017]. It is well-known that any presheaf category constitutes a model of dependent type theory [Hofmann, 1997], including a hierarchy of universes if the metatheory has one [Hofmann and Streicher, 1997… (More)

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Cite this paper

@article{Nuyts2017AMO, title={A Model of Parametric Dependent Type Theory in Bridge/Path Cubical Sets}, author={Andreas Nuyts}, journal={CoRR}, year={2017}, volume={abs/1706.04383} }