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Ulrik Buchholtz
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Higher groups in homotopy type theory
U Buchholtz, F van Doorn, E Rijke
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer …, 2018
632018
Varieties of cubical sets
U Buchholtz, E Morehouse
Relational and Algebraic Methods in Computer Science: 16th International …, 2017
412017
Homotopy type theory in Lean
F van Doorn, J von Raumer, U Buchholtz
Interactive Theorem Proving: 8th International Conference, ITP 2017 …, 2017
312017
The real projective spaces in homotopy type theory
U Buchholtz, E Rijke
2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 1-8, 2017
262017
Cellular cohomology in homotopy type theory
U Buchholtz, KB Hou Favonia
Proceedings of the 33rd annual acm/ieee symposium on logic in computer …, 2018
222018
Symmetry
M Bezem, U Buchholtz, P Cagne, BI Dundas, DR Grayson
Book in progress, 2023
182023
The Cayley-Dickson construction in homotopy type theory
U Buchholtz, E Rijke
arXiv preprint arXiv:1610.01134, 2016
142016
Synthetic fibered -category theory
U Buchholtz, J Weinberger
arXiv preprint arXiv:2105.01724, 2021
112021
Higher Structures in Homotopy Type Theory
U Buchholtz
Reflections on the Foundations of Mathematics: Univalent Foundations, Set …, 2019
102019
Central H-spaces and banded types
U Buchholtz, JD Christensen, JGT Flaten, E Rijke
arXiv preprint arXiv:2301.02636, 2023
82023
Unfolding of systems of inductive definitions
UT Buchholtz
Stanford University, 2013
72013
Varieties of cubical sets, Relational and Algebraic Methods in Computer Science (Cham)(Peter Höfner, Damien Pous, and Georg Struth, eds.)
U Buchholtz, E Morehouse
Springer International Publishing, 2017
52017
Unordered pairs in homotopy type theory
U Buchholtz
Preprint, 2023
32023
The long exact sequence of homotopy -groups
U Buchholtz, E Rijke
arXiv preprint arXiv:1912.08696, 2019
22019
Type-theoretic modalities for synthetic (∞, 1)-categories
U Buchholtz, J Weinberger
Conference talk, HoTT, 2019
22019
Syntactic forcing models for coherent logic
M Bezem, U Buchholtz, T Coquand
Indagationes Mathematicae 29 (6), 1441-1464, 2018
22018
Theories of proof-theoretic strength ψ (ΓΩ)
U Buchholtz, G Jäger, T Strahm
Concepts of proof in mathematics, philosophy, and computer science 6, 115, 2016
22016
On symmetries of spheres in univalent foundations
P Cagne, U Buchholtz, N Kraus, M Bezem
arXiv preprint arXiv:2401.15037, 2024
12024
Synthetic Tait computability for simplicial type theory
J Weinberger, B Ahrens, U Buchholtz, P North
28th International Conference on Types for Proofs and Programs (TYPES 2022), 2022
12022
Towards Normalization of Simplicial Type Theory via Synthetic Tait Computability
J Weinberger, B Ahrens, U Buchholtz, P North
12022
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