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https://github.com/coq-community/gaia
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
https://github.com/coq-community/gaia
bourbaki coq docker-coq-action mathcomp mathcomp-ci set-theory ssreflect
Last synced: 28 days ago
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Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
- Host: GitHub
- URL: https://github.com/coq-community/gaia
- Owner: coq-community
- License: mit
- Created: 2020-08-08T18:56:20.000Z (over 4 years ago)
- Default Branch: master
- Last Pushed: 2024-08-11T12:24:12.000Z (4 months ago)
- Last Synced: 2024-08-11T13:39:06.519Z (4 months ago)
- Topics: bourbaki, coq, docker-coq-action, mathcomp, mathcomp-ci, set-theory, ssreflect
- Language: Coq
- Homepage: http://www-sop.inria.fr/marelle/gaia/
- Size: 1.99 MB
- Stars: 27
- Watchers: 10
- Forks: 5
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# Gaia
[![Docker CI][docker-action-shield]][docker-action-link]
[![Contributing][contributing-shield]][contributing-link]
[![Code of Conduct][conduct-shield]][conduct-link]
[![Zulip][zulip-shield]][zulip-link]
[docker-action-shield]: https://github.com/coq-community/gaia/actions/workflows/docker-action.yml/badge.svg?branch=master
[docker-action-link]: https://github.com/coq-community/gaia/actions/workflows/docker-action.yml
[contributing-shield]: https://img.shields.io/badge/contributions-welcome-%23f7931e.svg
[contributing-link]: https://github.com/coq-community/manifesto/blob/master/CONTRIBUTING.md
[conduct-shield]: https://img.shields.io/badge/%E2%9D%A4-code%20of%20conduct-%23f15a24.svg
[conduct-link]: https://github.com/coq-community/manifesto/blob/master/CODE_OF_CONDUCT.md
[zulip-shield]: https://img.shields.io/badge/chat-on%20zulip-%23c1272d.svg
[zulip-link]: https://coq.zulipchat.com/#narrow/stream/237663-coq-community-devs.20.26.20users
Implementation of books from N. Bourbaki's Elements of Mathematics
in Coq using the Mathematical Components library, including set theory
and number theory.
## Meta
- Author(s):
- José Grimm
- Alban Quadrat
- Carlos Simpson
- Coq-community maintainer(s):
- Laurent Théry ([**@thery**](https://github.com/thery))
- License: [MIT License](LICENSE)
- Compatible Coq versions: 8.16 or later
- Additional dependencies:
- [MathComp ssreflect 2.0 or later](https://math-comp.github.io)
- [MathComp algebra](https://math-comp.github.io)
- Coq namespace: `gaia`
- Related publication(s):
- [Implementation of Bourbaki's Elements of Mathematics in Coq: Part One, Theory of Sets](https://jfr.unibo.it/article/view/1899) doi:[10.6092/issn.1972-5787/1899](https://doi.org/10.6092/issn.1972-5787/1899)
- [Implementation of Bourbaki's Elements of Mathematics in Coq: Part Two, From Natural Numbers to Real Numbers](https://jfr.unibo.it/article/view/4771) doi:[10.6092/issn.1972-5787/4771](https://doi.org/10.6092/issn.1972-5787/4771)
- [Implementation of Bourbaki's Elements of Mathematics in Coq: Part One, Theory of Sets](https://hal.inria.fr/inria-00408143)
- [Implementation of Bourbaki's Elements of Mathematics in Coq: Part Two; Ordered Sets, Cardinals, Integers](https://hal.inria.fr/inria-00440786)
- [Implementation of Bourbaki's Elements of Mathematics in Coq: Part Three Structures](https://hal.inria.fr/hal-01412037)
- [Fibonacci numbers and the Stern-Brocot tree in Coq](https://hal.inria.fr/hal-01093589)
- [Implementation of three types of ordinals in Coq](https://hal.inria.fr/hal-00911710)
## Building and installation
To build and install manually, do:
``` shell
git clone https://github.com/coq-community/gaia.git
cd gaia
make # or make -j
make install
```
## Documentation
Gaia stands for: Geometry, Algebra, Informatics and Applications.
More information about the project is available at the [project website][gaia-url].
[gaia-url]: http://www-sop.inria.fr/marelle/gaia/