Category Archives: Uncategorized

Many updates have been made to the various other pages on the site: Code, Events, Links, People, References.  For example, there are several new items on models of the Univalence Axiom on the References page.

From a homotopical perspective, Coq’s built-in sort Prop is like an undecided voter, wooed by both the extensional and the intensional parties. Sometimes it leans one way, sometimes the other, at times flirting with inconsistency.

It’s amazing what you can find in the HoTT repository these days! I was browsing it the other week, looking up something quite different, when I came across a theorem in Funext.v (originally by Voevodsky) which answers, in a surprising … Continue reading →

I have adapted some basic HoTT theorems and proofs to prose form, in an attempt to better understand the results and their proofs. The Coq proof scripts often obscure details of the exposition, like the choice of fibration in an induction tactic, … Continue reading →

This post is to alert the members of the HoTT community to some exciting recent developments over at the n-Category Cafe. First, some background. Some of us (perhaps many) believe that HoTT should eventually be able to function as the … Continue reading →

From a homotopy theorist’s point of view, identity types and their connection to homotopy theory are perfectly natural: they are “path objects” in the category of types. However, from a type theorist’s point of view, they are somewhat more mysterious. … Continue reading →