Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [cubical-type-theory]

Cubical type theory is a version of homotopy type theory in which univalence is not just an axiom but a theorem, hence, since this is constructive, has “computational content”. Cubical type theory models the infinity-groupoid-structure implied by Martin-Löf identity types on constructive cubical sets, whence the name.

2
votes
1answer
34 views

What does “Kan” mean in “Kan operations”?

I'm studying Cubical Type Theory and I see the word "Kan operations" (ref1, ref2, ref3, and there are many more), which is related to "adding a cap to a tube" (can be also explained as "given a path ...
4
votes
1answer
50 views

Proof that type does not have decidable equality in Agda

Can one create such function in Agda ? ℕ→ℕ-undecidable : ¬ ( (f g : ℕ → ℕ ) → Dec (f ≡ g)) ℕ→ℕ-undecidable = ? I am particularly interested in proof using ...
5
votes
1answer
252 views