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arXiv · 1803.06649

Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing

Taichi Uemura
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Abstract

We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that this impredicative universe in the cubical assembly model does not satisfy a form of propositional resizing.

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Taichi Uemura. 2019-09-09. Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing. https://doi.org/10.4230/lipics.types.2018.7

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