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03/29/2023
Coinductive control of inductive data types
We combine the theory of inductive data types with the theory of univers...
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02/03/2022
Univalent foundations and the equivalence principle
In this paper, we explore the 'equivalence principle' (EP): roughly, sta...
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01/25/2022
Semantics for two-dimensional type theory
In this work, we propose a general notion of model for two-dimensional t...
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02/11/2021
The Univalence Principle
The Univalence Principle is the statement that equivalent mathematical s...
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04/14/2020
A Higher Structure Identity Principle
The ordinary Structure Identity Principle states that any property of se...
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06/01/2019
Type-theoretic weak factorization systems
This article presents three characterizations of the weak factorization ...
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01/11/2019
Identity types and weak factorization systems in Cauchy complete categories
It has been known that categorical interpretations of dependent type the...
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07/27/2018