HoTT/Coq-HoTT
A Coq library for Homotopy Type Theory observed · 2026-10-16
Health v2 · maintenance only
82/100
- Activity 99
- Release rhythm 51
- Longevity 100
Flags: no_license
How is this computed?
round(0.45*activity + 0.35*rhythm + 0.20*longevity); archived -> min(score, 10) — computed 2026-10-21. Adoption (stars, forks) is never an input.
- gap_med: 509
- age_days: 5687
- days_rel: 118
- days_push: 11
- n_releases_24m: 2
Adoption not part of the score
1405 stars · 205 forks observed · 2026-10-16
What it is AI-extracted, prompt v1, taxonomy v1, 2026-08-30, confidence not recorded
A Coq library for Homotopy Type Theory, interpreting Martin-Löf's intensional type theory into abstract homotopy theory. It provides formalizations of homotopy-theoretic ideas such as univalence and higher inductive types for use in the Coq proof assistant.
Use cases
- formalize mathematics in homotopy type theory
- prove theorems using the univalence axiom in Coq
- experiment with higher inductive types
- study univalent foundations of mathematics
- develop homotopy-theoretic constructions in a proof assistant
- teach or learn homotopy type theory interactively
When to choose
- you want to do formal proofs in homotopy type theory within Coq
- you need a mature, actively maintained HoTT library with Coq Platform support
- you want BSD-licensed formalization code you can reuse freely
When to avoid
- you need standard Coq with classical mathematics rather than univalent foundations
- you prefer Agda or Lean-based HoTT developments
- you need a general-purpose programming library rather than a proof library
Facets
library · maturity active
type-system interpreter developer-tools programming-languages mathematics education cli cross-platform coq homotopy-type-theory univalent-foundations proof-assistant formalization higher-inductive-types algorithms
2 sources
- readme: https://github.com/HoTT/Coq-HoTT · fetched 2026-10-16 · 031dee4867f6
- homepage: http://homotopytypetheory.org/ · fetched 2026-08-29 · 03e4934b4412
Member repositories
| Repository | Role | Health v2 |
|---|---|---|
| HoTT/Coq-HoTT | main | 82 |
For agents
Data as of 2026-10-19T08:05:51.212177+00:00 · Report a problem