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01/25/2023
Set-Theoretic and Type-Theoretic Ordinals Coincide
In constructive set theory, an ordinal is a hereditarily transitive set....
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08/07/2022
Type-Theoretic Approaches to Ordinals
In a constructive setting, no concrete formulation of ordinal numbers ca...
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07/04/2021
A Rewriting Coherence Theorem with Applications in Homotopy Type Theory
Higher-dimensional rewriting systems are tools to analyse the structure ...
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04/06/2021
Connecting Constructive Notions of Ordinals in Homotopy Type Theory
In classical set theory, there are many equivalent ways to introduce ord...
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09/03/2020
Internal ∞-Categorical Models of Dependent Type Theory: Towards 2LTT Eating HoTT
Using dependent type theory to formalise the syntax of dependent type th...
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01/21/2020
Coherence via Wellfoundedness
Homotopy type theory allows us to work with the higher-dimensional struc...
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07/17/2019
Shallow Embedding of Type Theory is Morally Correct
There are multiple ways to formalise the metatheory of type theory. For ...
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02/27/2019
From Cubes to Twisted Cubes via Graph Morphisms in Type Theory
Cube categories are used to encode higher-dimensional structures. They h...
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01/17/2019
Path Spaces of Higher Inductive Types in Homotopy Type Theory
The study of equality types is central to homotopy type theory. Characte...
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05/05/2018
