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02/10/2023
For the Metatheory of Type Theory, Internal Sconing Is Enough
Metatheorems about type theories are often proven by interpreting the sy...
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02/23/2021
Induction principles for type theories, internally to presheaf categories
We present new induction principles for the syntax of dependent type the...
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05/01/2020
Partial Univalence in n-truncated Type Theory
It is well known that univalence is incompatible with uniqueness of iden...
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02/18/2019
Homotopy canonicity for cubical type theory
Cubical type theory provides a constructive justification of homotopy ty...
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02/16/2019