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HoTT
Coq-HoTT
Rocq Prover2013–2024
HoTT / Coq-HoTT

Coq-HoTT

A Coq library for Homotopy Type Theory

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Explore on GitHubRead Hacker News discussions
5Distinct people
6Mentions
0Explicit recommenders
1.4KGitHub stars
REPOSITORY AT A GLANCE

What to know before exploring

What it is

A Coq library for Homotopy Type Theory

GitHub

Where it is used

No documented product use has been verified yet.

What people are saying

No recommendation phrase was found in the indexed comments.

No classified warning is attached to this page. Read the discussions before treating silence as approval.

Also in these discussions

No other repository is repeatedly linked in the same discussions.

This week on Hacker News

Nov 7–Nov 14 UTC · Direct repository links and separately labeled related project stories. Indexed through 11/14/2026, 5:04:57 PM UTC.

No direct repository links were found in the indexed HN discussions over the past seven days. Older discussions are available below.

Mentions over time

HN mentions by year6 dated mentions

Observed mentions: 2013-12-15 21:41:19 UTC to 2024-12-17 20:20:09 UTC.

0122013-01-01 00:00:00 UTC to 2014-01-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 comments20132014-01-01 00:00:00 UTC to 2015-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2015-01-01 00:00:00 UTC to 2016-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2016-01-01 00:00:00 UTC to 2017-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2017-01-01 00:00:00 UTC to 2018-01-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 comments2018-01-01 00:00:00 UTC to 2019-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments20182019-01-01 00:00:00 UTC to 2020-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-01-01 00:00:00 UTC to 2021-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-01-01 00:00:00 UTC to 2022-01-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 comments2022-01-01 00:00:00 UTC to 2023-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2023-01-01 00:00:00 UTC to 2024-01-01 00:00:00 UTC (exclusive): 2 mentions; 0 submissions, 2 comments2024-01-01 00:00:00 UTC to 2025-01-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 comments2024

Counts come from the repository’s dated source evidence. Index cutoff: 2026-11-02 08:16:59 UTC.

View mention counts and date ranges
UTC ranges include their start and exclude their end. Select a period to filter the source evidence.
PeriodStart (UTC)End (exclusive, UTC)MentionsSubmissionsComments
20132013-01-01 00:00:00 UTC2014-01-01 00:00:00 UTC101
20142014-01-01 00:00:00 UTC2015-01-01 00:00:00 UTC000
20152015-01-01 00:00:00 UTC2016-01-01 00:00:00 UTC000
20162016-01-01 00:00:00 UTC2017-01-01 00:00:00 UTC000
20172017-01-01 00:00:00 UTC2018-01-01 00:00:00 UTC101
20182018-01-01 00:00:00 UTC2019-01-01 00:00:00 UTC000
20192019-01-01 00:00:00 UTC2020-01-01 00:00:00 UTC000
20202020-01-01 00:00:00 UTC2021-01-01 00:00:00 UTC000
20212021-01-01 00:00:00 UTC2022-01-01 00:00:00 UTC101
20222022-01-01 00:00:00 UTC2023-01-01 00:00:00 UTC000
20232023-01-01 00:00:00 UTC2024-01-01 00:00:00 UTC202
20242024-01-01 00:00:00 UTC2025-01-01 00:00:00 UTC101

What Hacker News says

6 sources
westurner·Dec 17, 2024
Homotopy type theory (HoTT) https://en.wikipedia.org/wiki/Homotopy_type_theory /? From a set like {0,1} to a wave function of reals in Hilbert space [to Constructor Theory and Quantum Counterfactuals] https://www.google.com/search?q=From+a+set+like+%7B0%2C1%7D+... , https://www.google.com/search?q=From+a+set+like+%7B0%2C1%7D+... From "What do we mean by "the foundations of mathematics"?" (2023) https://news.ycombinator.com/item?id=38102096#38103520 : > HoTT in CoQ: Coq-HoTT: https://github.com/HoTT/Coq-HoTT >>> The HoTT library is a development of homotopy-theoretic ideas in the Coq proof assistant. It draws many ideas from Vladimir Voevodsky's Foundations library (which has since been incorporated into the UniMath library) and also cross-pollinates with the HoTT-Agda library. See also: HoTT in Lean2, Spectral Sequences in Lean2, and Cu
Read the rest
bical Agda. leanprover/lean2 /hott: https://github.com/leanprover/lean2/tree/master/hott Lean4: "Theorem Proving in Lean 4" https://lean-lang.org/theorem_proving_in_lean4/ Learnxinimutes > Lean 4: https://learnxinyminutes.com/lean4/ /? Hott in lean4 https://www.google.com/search?q=hott+in+lean4 > What is the relation between Coq-HoTT & Homotopy Type Theory and Set Theory with e.g. ZFC?
In Natural Number Game: build the basic theory of the natural numbers from scratch
westurner·Nov 1, 2023
https://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_t... : > Today, Zermelo–Fraenkel set theory [ZFC], with the historically controversial axiom of choice (AC) included, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics. Foundation of mathematics: https://en.wikipedia.org/wiki/Foundations_of_mathematics Implementation of mathematics in set theory: https://en.wikipedia.org/wiki/Implementation_of_mathematics_... : > The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU, the version of Quine's New Foundations shown to be consistent by R. B. Jensen in 1969 (here understood to include at least axioms of Infinity and Choice). > What is said here applies also to two families of set theories: on the one hand, a
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range of theories including Zermelo set theory near the lower end of the scale and going up to ZFC extended with large cardinal hypotheses such as "there is a measurable cardinal"; and on the other hand a hierarchy of extensions of NFU which is surveyed in the New Foundations article. These correspond to different general views of what the set-theoretical universe is like IEEE-754 specifies that float64s have ±infinity and specify ZeroDivisionError. Symbolic CAS with MPFR needn't be limited to float64s. HoTT in CoQ: Coq-HoTT: https://github.com/HoTT/Coq-HoTT What is the relation between Coq-HoTT & Homotopy Type Theory and Set Theory with e.g. ZFC? Homotopy Type Theory: https://en.wikipedia.org/wiki/Homotopy_type_theory : > "Cartesian Cubical Computational Type Theory: Constructive Reasoning with Paths and Equalities" (2018) https://scholar.google.com/scholar?cites=9763697449338277760... and sorted by date: https://scholar.google.com/scholar?hl=en&as_sdt=5,43&sciodt=... What does Mathlib have for SetTheory, ZFC, NFU, and HoTT? leanprover-community/mathlib4// Mathlib/SetTheory: https://github.com/leanprover-community/mathlib4/tree/master...
In What do we mean by "the foundations of mathematics"?
giraj·Jun 30, 2023
For those interested in formalisation of homotopy type theory, there are several (more or less) active and developed libraries. To mention a few: UniMath (https://github.com/UniMath/UniMath, mentioned in the article) Coq-HoTT (https://github.com/HoTT/Coq-HoTT) agda-unimath (https://unimath.github.io/agda-unimath/) cubical agda (https://github.com/agda/cubical) All of these are open to contributions, and there are lots of useful basic things that haven't been done and which I think would make excellent semester projects for a cs/math undergrad (for example).
In Will Computers Redefine the Roots of Math?

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