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10/11/2022
Controlling unfolding in type theory
We present a novel mechanism for controlling the unfolding of definition...
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01/27/2021
Normalization for Cubical Type Theory
We prove normalization for (univalent, Cartesian) cubical type theory, c...
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09/11/2020
Internalizing Representation Independence with Univalence
In their usual form, representation independence metatheorems provide an...
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03/03/2020
A Cubical Language for Bishop Sets
We present XTT, a version of Cartesian cubical type theory specialized f...
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04/18/2019
Cubical Syntax for Reflection-Free Extensional Equality
We contribute XTT, a cubical reconstruction of Observational Type Theory...
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07/05/2018
The RedPRL Proof Assistant (Invited Paper)
RedPRL is an experimental proof assistant based on Cartesian cubical com...
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12/05/2017