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Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing (1803.06649v3)
Published 18 Mar 2018 in cs.LO
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.