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04/20/2023
Towards coherence theorems for equational extensions of type theories
We study the conservativity of extensions by additional strict equalitie...
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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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11/14/2022
External univalence for second-order generalized algebraic theories
Voevodsky's univalence axiom is often motivated as a realization of the ...
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11/21/2021
Strictification of weakly stable type-theoretic structures using generic contexts
We present a new strictification method for type-theoretic structures th...
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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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10/27/2020