English

Three non-cubical applications of extension types

Programming Languages 2024-02-08 v2

Abstract

The development of cubical type theory inspired the idea of "extension types" which has been found to have applications in other type theories that are unrelated to homotopy type theory or cubical type theory. This article describes these applications, including on records, metaprogramming, controlling unfolding, and some more exotic ones.

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Cite

@article{arxiv.2311.05658,
  title  = {Three non-cubical applications of extension types},
  author = {Tesla Zhang},
  journal= {arXiv preprint arXiv:2311.05658},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T13:16:43.718Z