
A Rewriting Coherence Theorem with Applications in Homotopy Type Theory
Higherdimensional rewriting systems are tools to analyse the structure ...
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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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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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Coherence via Wellfoundedness
Homotopy type theory allows us to work with the higherdimensional struc...
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Shallow Embedding of Type Theory is Morally Correct
There are multiple ways to formalise the metatheory of type theory. For ...
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From Cubes to Twisted Cubes via Graph Morphisms in Type Theory
Cube categories are used to encode higherdimensional structures. They h...
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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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Free Higher Groups in Homotopy Type Theory
Given a type A in homotopy type theory (HoTT), we can define the free in...
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Nicolai Kraus
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