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https://github.com/UniMath/UniMath
This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
https://github.com/UniMath/UniMath
coq coq-library foundations mathematics unimath
Last synced: about 1 month ago
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This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
- Host: GitHub
- URL: https://github.com/UniMath/UniMath
- Owner: UniMath
- License: other
- Created: 2014-03-01T18:37:12.000Z (over 10 years ago)
- Default Branch: master
- Last Pushed: 2024-07-22T16:44:46.000Z (about 2 months ago)
- Last Synced: 2024-07-23T10:16:52.634Z (about 2 months ago)
- Topics: coq, coq-library, foundations, mathematics, unimath
- Language: Coq
- Homepage: http://unimath.org/
- Size: 27.7 MB
- Stars: 933
- Watchers: 56
- Forks: 171
- Open Issues: 190
-
Metadata Files:
- Readme: README.md
- License: LICENSE.md
Awesome Lists containing this project
- awesome-starred - UniMath/UniMath - This coq library aims to formalize a substantial body of mathematics using the univalent point of view. (others)
README
[](https://zenodo.org/badge/latestdoi/17321421)
Univalent Mathematics
=====================
This [Coq](https://coq.inria.fr/) library aims to formalize a substantial body of mathematics using the
[univalent point of view](https://en.wikipedia.org/wiki/Univalent_foundations).
Trying out UniMath
------------------
You can try out UniMath in the browser by clicking [here](https://unimath.github.io/live/).
For instance, you can run the files from the [School on Univalent Mathematics](https://unimath.github.io/Schools/) in the browser.
Using UniMath on your computer
------------------------------
To install UniMath on your computer, there are two options:
- Install a released binary version of UniMath via the [Coq Platform](https://coq.inria.fr/download).
- To develop, and contribute to, UniMath, you should compile the latest version of UniMath yourself - see [INSTALL.md](https://github.com/UniMath/UniMath/blob/master/INSTALL.md).
Usage
-----
See [USAGE.md](./USAGE.md)
Contents
--------
The [UniMath subdirectory](UniMath/) contains various packages of formalized
mathematics. For more information, see the [UniMath Table of Contents](UniMath/CONTENTS.md).
Some scientific articles describing the contents of the UniMath library or work using it are listed in the
[wiki](https://github.com/UniMath/UniMath/wiki/Articles-with-accompanying-formalization-in-UniMath).
Contributing to UniMath
-----------------------
To contribute to UniMath, submit a pull request. Your code will be subject to the
copyright and license agreement in [LICENSE.md](LICENSE.md).
For the style guide and other instructions, see [UniMath/README.md](UniMath/README.md).
Discussing UniMath & Getting Help
---------------------------------
- **Questions** about the UniMath library, compilation, and installation of UniMath, etc.,
can be asked in the [UniMath Zulip](https://unimath.zulipchat.com) (click [here](https://unimath.zulipchat.com/register/) to register)
or on the [UniMath mailing list](mailto:[email protected]) (archived in a [Google Group](https://groups.google.com/forum/#!forum/univalent-mathematics)).
- **Bugs** should be reported in our [UniMath bug tracker on GitHub](https://github.com/UniMath/UniMath/issues).
Citing UniMath
--------------
To cite UniMath in your article, you can use the following bibtex item:
```bibtex
@Misc{UniMath,
author = {Voevodsky, Vladimir and Ahrens, Benedikt and Grayson, Daniel and others},
title = {UniMath --- a computer-checked library of univalent mathematics},
url = {https://github.com/UniMath/UniMath},
howpublished = {available at \url{http://unimath.org}},
doi = {10.5281/zenodo.10849216},
url = {https://doi.org/10.5281/zenodo.10849216}
}
```
Note that this requires ```\usepackage{url}``` or ```\usepackage{hyperref}```.
The UniMath Coordinating Committee
----------------------------
The UniMath project was started in 2014 by merging the repository
[Foundations](https://github.com/UniMath/Foundations), by Vladimir Voevodsky
(written in 2010), with two repositories based on it:
[rezk_completion](https://github.com/benediktahrens/rezk_completion), by
Benedikt Ahrens, and [Ktheory](https://github.com/DanGrayson/Ktheory), by
Daniel Grayson. Vladimir Voevodsky was a member of the team until his death in
September, 2017.
The current members of the UniMath Coordinating Committee are:
- Benedikt Ahrens
- Daniel Grayson
- Michael Lindgren
- Peter LeFanu Lumsdaine
- Ralph Matthes
- Niels van der Weide
Acknowledgments
---------------
The UniMath development team gratefully acknowledges the great work by
the Coq development team in providing the [Coq proof assistant](https://coq.inria.fr/), as well
as their support in keeping UniMath compatible with Coq.