Publications
Conference Papers
- Dan Frumin, Herman Geuvers, Léon Gondelman, Niels van der Weide
Finite Sets in Homotopy Type Theory, CPP, pp. 201-214, ACM 2018.
Webpage
- Benedikt Ahrens, Dan Frumin, Marco Maggesi, Niels van der Weide
Bicategories in Univalent Foundations, FSCD 2019, Vol. 131, pp. 5:1-5:17.
- Niccolò Veltri and Niels van der Weide
Guarded Recursion in Agda via Sized Types, FSCD 2019, Vol. 131, pp. 31:1-32:19.
Repository
- Niels van der Weide and Herman Geuvers
The Construction of Set-Truncated Higher Inductive Types, MFPS 2019, Vol.237 of ENTC, pp. 261-280
Repository
- Niels van der Weide
Constructing Higher Inductive Types as Groupoid Quotients, LICS 2020, pp. 929–943.
- Benedikt Ahrens, Paige Randall North, Niels van der Weide
Semantics for two-dimensional type theory, LICS 2022, pp. 1-14.
- Niels van der Weide
The Formal Theory of Monads, Univalently, FSCD 2023, Vol. 260, pp. 6:1-6:23.
- Niels van der Weide, Deivid Vale, Cynthia Kop
Certifying Higher-Order Polynomial Interpretations, ITP 2023, Vol. 268, pp. 30:1-30:20.
- Niels van der Weide, Nima Rasekh, Benedikt Ahrens, Paige Randall North
Univalent Double Categories, CPP2024, pp. 246-259.
- Benedikt Ahrens, Ralph Matthes, Niels van der Weide, Kobe Wullaert
Displayed Monoidal Categories for the Semantics of Linear Logic, CPP2024, pp. 260-273.
- Niels van der Weide and Dan Frumin
The Interval Domain in Homotopy Type Theory, Geuversfest60, Logics and Type Systems in Theory and Practice. Lecture Notes in Computer Science, vol 14560.
- Niels van der Weide
Univalent Enriched Categories and the Enriched Rezk Completion, FSCD 2024, Vol. 299, pp. 4:1-4:19.
- Nima Rasekh, Niels van der Weide, Benedikt Ahrens, Paige Randall North
Insights From Univalent Foundations: A Case Study Using Double Categories, accepted at CSL2025.
- Cass Alexandru, Vikraman Choudhury, Jurriaan Rot, Niels van der Weide
Intrinsically Correct Sorting in Cubical Agda, accepted at CPP2025.
Journal Papers
- Henning Basold, Herman Geuvers, Niels van der Weide
Higher Inductive Types in Programming, Journal of Universal Computer Science, Vol. 23, No. 1, pp. 63-88.
- Niccolò Veltri and Niels van der Weide
Constructing Higher Inductive Types as Groupoid Quotients, Logical Methods in Computer Science, Volume 17, Issue 2, 2021, pp. 8:1–8:42.
- Benedikt Ahrens, Dan Frumin, Marco Maggesi, Niccolò Veltri, Niels van der Weide
Bicategories in Univalent Foundations, Mathematical Structures in Computer Science, 1-38.
- Benedikt Ahrens, Paige Randall North, Niels van der Weide
Bicategorical type theory: semantics and syntax, Mathematical Structures in Computer Science, 1-45.
- Niels van der Weide
The Formal Theory of Monads, Univalently, submitted.
- Niels van der Weide
The internal languages of univalent categories
Talks
- Higher Inductive Types, talk at HoTT/UF 2016, Porto.
- Programming with Higher Inductive Types, talk at EUTYPES meeting, Ljubljana.
- The Three-HITs Theorem, talk at FPFM workshop, Nantes.
- Higher Inductive Types in Programming, talk at Agda Implementors Meeting XXV, Gothenburg.
- Finite Sets in HoTT, talk at EUTYPES meeting in Nijmegen.
- 1-Types vs Groupoids, talk at TYPES2018, Braga.
- Bicategories in Homotopy Type Theory, talk at EUTYPES meeting in Aarhus.
- Category Theory in UniMath, talk at UniMath School II 2019, Birmingham.
- Bicategories in Univalent Foundations, talk at TYPES2019, Oslo.
- Bicategories in Univalent Foundations, talk at FSCD2019, Dortmund.
- The Construction of Set-Truncated Higher Inductive Types, talk at MFPS. London.
- Constructing 1-truncated finitary higher inductive types as groupoid quotients, talk at HoTTEST2020 (video).
- Constructing Higher Inductive Types as Groupoid Quotients, talk at LICS2020.
- Semantics for two-dimensional type theory, talk at Syntax and Semantics of Type Theories, Stockholm.
- Semantics for two-dimensional type theory, talk at TYPES2022, Nantes.
- Category Theory in UniMath, talk at UniMath School III 2022, Cortona, Italy.
- Enriched Categories in Univalent Foundations, talk at HoTT/UF 2023, Vienna, Austria.
- Enriched Categories in Univalent Foundations, talk at TYPES 2023, Valencia, Spain.
- The Formal Theory of Monads, Univalently, talk at FSCD 2023, Rome, Italy.
- Displayed Monoidal Categories for the Semantics of Linear Logic, talk at CPP 2024, London, UK.
- Displayed Monoidal Categories for the Semantics of Linear Logic, talk at SWS seminar.
- Certifying higher-order polynomial interpretations, talk at rewritig/logic seminar.
- The Internal Language of Univalent Categories, talk at the Programming Languages Seminar in Delft.
- Formalizing Double Categories in UniMath, talk at the CoREACT Seminar.
- The Interval Domain in Homotopy Type Theory, talk at Geuversfest.
- The Internal Language of Univalent Categories, talk at TYPES2024, Copenhagen
- The Univalence Maxim and Univalent Double Categories, talk at TYPES2024, Copenhagen
- Univalent Enriched Categories and the Enriched Rezk Completion, talk at FSCD2024, Tallinn
- The internal languages of univalent categories, talk at HoTTEST2024 (video)
Extended Abstracts
- Dan Frumin, Herman Geuvers, Niels van der Weide
1-Types vs Groupoids, TYPES2018, Braga
- Henning Basold, Niccolò Veltri, Niels van der Weide
Free Algebraic Theories as Higher Inductive Types, TYPES2019, Oslo
- Benedikt Ahrens, Dan Frumin, Marco Maggesi, Niels van der Weide
Bicategories in Univalent Foundations, TYPES2019, Oslo
- Niccolò Veltri, Niels van der Weide
Guarded Recursion in Agda via Sized Types, TYPES2019, Oslo
- Niels van der Weide
Constructing Higher Inductive Types as Groupoid Quotients, TYPES2020
- Deivid Vale, Niels van der Weide
Formalizing Higher-Order Termination in Coq, WST2021
- Benedikt Ahrens, Paige Randall North, Niels van der Weide
Semantics for two-dimensional type theory, TYPES2022, Nantes
- Benedikt Ahrens, Paige Randall North, Niels van der Weide
Semantics for two-dimensional type theory, HoTT/UF2022, Haifa
- Niels van der Weide
Enriched Categories in Univalent Foundations, HoTT/UF2023, Vienna
- Niels van der Weide
Enriched Categories in Univalent Foundations, TYPES2023, Valencia
- Nima Rasekh, Niels van der Weide, Benedikt Ahrens, Paige Randall North
The Univalence Maxim and Univalent Double Categories, TYPES2024, Copenhagen
- Niels van der Weide
The Internal Language of Univalent Categories, TYPES2024, Copenhagen
Theses
- Computing Exact Solutions of Initial Value Problems, Bachelor Thesis Computer Science
- Model Structures on Toposes, Master Thesis Mathematics
- Higher Inductive Types, Master Thesis Computer Science
- Constructing Higher Inductive Types, PhD Thesis Computer Science