Dr Fredrik Nordvall Forsberg

Strathclyde Chancellor's Fellow

Computer and Information Sciences

Personal statement

I am a Chancellor's Fellow in the Department of Computer and Information Sciences and a member of the  Mathematically Structured Programming group.

My goal is to understand the underlying logic and structure behind programming languages, and to use this understanding to make it easier to write correct software. To do so, I use and create techniques and tools from mathematical logic, type theory, and category theory. My research interests include:

  • data types in type theory: how can we give semantics of different classes of data types? Is one class more powerful than another? I have developed initial algebra semantics to answer such questions for inductive-inductive definitions, and quotient inductive types from homotopy type theory.
  • correct-by-construction programming: how can we get machines to help humans write the correct program? I create programming languages that make it possible to specify the meaning of programs in their type. This creates new challenges, such as extending the equational theory of programs while retaining decidable type checking, strong normalisation, and canonicity.
  • constructive mathematics and logic: how can we prove theorems and develop mathematical theories that are suitable for implementation in a computer? I am interested both in mathematical developments themselves, such as the theory of a constructive treatments of ordinals, as well as metamathematical investigations into categorical model theory and nonderivability results.
  • applied category theory: how can we describe and build large systems from smaller components? I am working to make this possible in the fields of economic game theory, and for business process languages, by using ideas and techniques from monoidal category theory.

See also my personal web page.


Type-theoretic approaches to ordinals
Kraus Nicolai, Nordvall Forsberg Fredrik, Xu Chuangjie
Theoretical Computer Science Vol 957 (2023)
Set-theoretic and type-theoretic ordinals coincide
de Jong Tom, Kraus Nicolai, Nordvall Forsberg Fredrik, Xu Chuangjie
Thirty-Eighth Annual ACM/IEEE Symposium on Logic in Computer Science (2023)
Measuring with confidence : leveraging expressive type systems for correct-by-construction software
McBride Conor, Nakov Georgi, Nordvall Forsberg Fredrik
Acta IMEKO Vol 12 (2023)
Quantitative polynomial functors
Nakov Georgi, Nordvall Forsberg Fredrik
27th International Conference on Types for Proofs and Programs (TYPES 2021) Leibniz International Proceedings in Informatics, LIPIcs Vol 239, pp. 10:1--10:22 (2022)
Infinite horizon extensive form games, coalgebraically
Capucci Matteo, Ghani Neil, Kupke Clemens, Ledent Jérémy, Nordvall Forsberg Fredrik
Mathematics for Computation (2022) (2022)
Quantitative polynomial functors
Nakov Georgi, Forsberg Fredrik Nordvall
9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021) 9th Conference on Algebra and Coalgebra in Computer Science, CALCO 2021 Leibniz International Proceedings in Informatics (LIPIcs) Vol 211, pp. 22:1-22:5 (2021)

More publications

Professional activities

Applied Category Theory 2022
Proof and Computation 2022
Invited speaker
Topos Institute 2nd Workshop on Polynomial Functors
Invited speaker
Homotopy Type Theory Electronic Seminar Talk: "Different Notions of Ordinals in Homotopy Type Theory"
External examiner for Andras Kovacs' PhD
NPL Data Science Seminar: "Typed functional programming: helping the compiler help you"

More professional activities


Maths DTP 2021/22 University of Strathclyde | Watters, Sean
Kupke, Clemens (Principal Investigator) Nordvall Forsberg, Fredrik (Co-investigator) Watters, Sean (Research Co-investigator)
01-Jan-2021 - 01-Jan-2025
KTP - Cambridge Quantum Computing (CQC)
McBride, Conor (Principal Investigator) Atkey, Bob (Co-investigator) Nordvall Forsberg, Fredrik (Co-investigator)
24-Jan-2020 - 23-Jan-2022
KTP - Cambridge Quantum Computing (CQC) / R190328-202
McBride, Conor (Principal Investigator) Atkey, Bob (Co-investigator) Nordvall Forsberg, Fredrik (Co-investigator)
24-Jan-2020 - 23-Jan-2022
Trusted Systems
Ghani, Neil (Co-investigator) McBride, Conor (Principal Investigator) Nordvall Forsberg, Fredrik (Co-investigator)
01-Jan-2019 - 30-Jan-2023

More projects


Computer and Information Sciences
Livingstone Tower

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