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Håkon Robbestad Gylterud

Associate Professor

My research is currently focussed on dependent type theory.

Dependent type theory (à la Marin-Löf) seeks to be a foundation for formal reasoning in mathematics and computer science. Its powerful concept of introduction, elimination and computation rules has proven a robust and extensible way of organising formal reasoning. Homotopy type theory (initiated by the late Vladimir Voevodsky) is a recently developed flavour of dependent type theory – where higher dimensional mathematical objects reside as first-class objects.

My contributions to the field includes a model of multisets and a simplification of the model of set theory in homotopy type theory. Further more, I have contributed to the theory of containers, a model of data structures in type theory, by extending the notion to data structures with symmetries.

Journal articles
  • Gylterud, Håkon Robbestad. 2019. Multisets in type theory. Mathematical proceedings of the Cambridge Philosophical Society (Print). 1-18. doi: 10.1017/S0305004119000045
  • Gylterud, Håkon Robbestad. 2018. From multisets to sets in Homotopy Type Theory. Journal of Symbolic Logic (JSL). 83: 1132-1146. doi: 10.1017/jsl.2017.84

More information in national current research information system (CRIStin)