Mathematically Structured Programming

Organisation profile

Organisation profile

Our vision is to use mathematics to understand the nature of computation, and to turn that understanding into the next generation of programming languages.

We see the mathematical foundations of computation and programming as inextricably linked. We study one so as to develop the other.

This reflects the symbiotic relationship between mathematics, programming, and the design of programming languages — any attempt to sever this connection will diminish each component.

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Collaborations and top research areas from the last five years

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  • Can we formalise type theory intrinsically without any compromise? A case study in Cubical Agda

    Chen, L.-T., Nordvall Forsberg, F. & Tsai, T.-C., 8 Jan 2026, p. 201-215. 15 p.

    Research output: Contribution to conferencePaperpeer-review

    Open Access
    File
  • The Agda standard library: version 2.0

    Daggitt, M. L., Allais, G., McKinna, J., Abel, A., van Doorn, N., Wood, J., Norell, U., Kidney, D. O., Meshveliani, S., Stucki, S., Carette, J., Rice, A., Hu, J. Z. S., Xia, L.-Y., You, S.-H., Mullanix, R. & Kokke, W., 20 Dec 2025, In: Journal of Open Source Software. 10, 116, 4 p., 9241.

    Research output: Contribution to journalArticlepeer-review

    Open Access
    File
  • Thin coalgebraic behaviours are inductive

    Chernev, A., Cîrstea, C., Hansen, H. H. & Kupke, C., 9 Oct 2025, 2025 40th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). Piscataway, NJ: IEEE, p. 761-775 15 p.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution book