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12/22/2022
Normalization and coherence for ∞-type theories
We develop a technique for normalization for ∞-type theories. The normal...
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12/05/2022
Homotopy type theory as internal languages of diagrams of ∞-logoses
We show that certain diagrams of ∞-logoses are reconstructed in internal...
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05/08/2019
On Church's Thesis in Cubical Assemblies
We show that Church's thesis, the axiom stating that all functions on th...
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04/08/2019
A General Framework for the Semantics of Type Theory
We propose an abstract notion of a type theory to unify the semantics of...
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03/18/2018
Cubical Assemblies and the Independence of the Propositional Resizing Axiom
We construct a model of cubical type theory with a univalent and impredi...
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03/18/2018