Nicolai Kraus

Orcid: 0000-0002-8729-4077

Affiliations:
  • University of Nottingham, UK


According to our database1, Nicolai Kraus authored at least 30 papers between 2011 and 2024.

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Bibliography

2024
Two-level type theory and applications - ERRATUM.
Math. Struct. Comput. Sci., 2024

On symmetries of spheres in univalent foundations.
CoRR, 2024

2023
Type-theoretic approaches to ordinals.
Theor. Comput. Sci., May, 2023

Two-level type theory and applications.
Math. Struct. Comput. Sci., 2023

Set-Theoretic and Type-Theoretic Ordinals Coincide.
LICS, 2023

2022
A rewriting coherence theorem with applications in homotopy type theory.
Math. Struct. Comput. Sci., August, 2022

2021
Connecting Constructive Notions of Ordinals in Homotopy Type Theory.
Proceedings of the 46th International Symposium on Mathematical Foundations of Computer Science, 2021

Internal ∞-Categorical Models of Dependent Type Theory : Towards 2LTT Eating HoTT.
Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 2021

2020
Coherence via Wellfoundedness.
CoRR, 2020

Coherence via Well-Foundedness: Taming Set-Quotients in Homotopy Type Theory.
Proceedings of the LICS '20: 35th Annual ACM/IEEE Symposium on Logic in Computer Science, 2020

Control of KNX devices over IEEE 11073 service-oriented device connectivity.
Proceedings of the IEEE Conference on Industrial Cyberphysical Systems, 2020

2019
From Cubes to Twisted Cubes via Graph Morphisms in Type Theory.
Proceedings of the 25th International Conference on Types for Proofs and Programs, 2019

Shallow Embedding of Type Theory is Morally Correct.
Proceedings of the Mathematics of Program Construction - 13th International Conference, 2019

Path Spaces of Higher Inductive Types in Homotopy Type Theory.
Proceedings of the 34th Annual ACM/IEEE Symposium on Logic in Computer Science, 2019

2018
Univalent higher categories via complete Semi-Segal types.
Proc. ACM Program. Lang., 2018

Free Higher Groups in Homotopy Type Theory.
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018

Quotient Inductive-Inductive Types.
Proceedings of the Foundations of Software Science and Computation Structures, 2018

2017
Space-Valued Diagrams, Type-Theoretically (Extended Abstract).
CoRR, 2017

Notions of Anonymous Existence in Martin-Löf Type Theory.
Log. Methods Comput. Sci., 2017

Two-Level Type Theory and Applications.
CoRR, 2017

Partiality, Revisited - The Partiality Monad as a Quotient Inductive-Inductive Type.
Proceedings of the Foundations of Software Science and Computation Structures, 2017

2016
Constructions with Non-Recursive Higher Inductive Types.
Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, 2016

Extending Homotopy Type Theory with Strict Equality.
Proceedings of the 25th EACSL Annual Conference on Computer Science Logic, 2016

2015
Truncation levels in homotopy type theory.
PhD thesis, 2015

Higher Homotopies in a Hierarchy of Univalent Universes.
ACM Trans. Comput. Log., 2015

Functions out of Higher Truncations.
Proceedings of the 24th EACSL Annual Conference on Computer Science Logic, 2015

2014
The General Universal Property of the Propositional Truncation.
Proceedings of the 20th International Conference on Types for Proofs and Programs, 2014

2013
On the Hierarchy of Univalent Universes: U(n) is not n-Truncated.
CoRR, 2013

Generalizations of Hedberg's Theorem.
Proceedings of the Typed Lambda Calculi and Applications, 11th International Conference, 2013

2011
A Lambda Term Representation Inspired by Linear Ordered Logic
Proceedings of the Proceedings Sixth International Workshop on Logical Frameworks and Meta-languages: Theory and Practice, 2011


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