Mathematics and Computation

A blog about mathematics for computers

Isomorphism invariance and isomorphism reflection in type theory (TYPES 2023)

At TYPES 2023 I had the honor of giving an invited talk “On Isomorphism Invariance and Isomorphism Reflection in Type Theory” in which I discussed isomorphism reflection, which states that isomorphic types are judgementally equal. This strange principle is consistent, and it validates some fairly strange type-theoretic statements.

Here are the slides with speaker notes and the video recording of the talk.

How to comment on this blog: At present comments are disabled because the relevant script died. If you comment on this post on Mastodon and mention, I will gladly respond. You are also welcome to contact me directly.