https://github.com/rocq-community/corn
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
https://github.com/rocq-community/corn
coq coq-ci coq-library coq-platform real-number
Last synced: 21 days ago
JSON representation
Coq Repository at Nijmegen [maintainers=@spitters,@VincentSe,@Lysxia]
- Host: GitHub
- URL: https://github.com/rocq-community/corn
- Owner: rocq-community
- License: gpl-2.0
- Created: 2011-06-21T09:06:53.000Z (almost 14 years ago)
- Default Branch: master
- Last Pushed: 2025-01-27T15:14:59.000Z (3 months ago)
- Last Synced: 2025-04-01T02:44:18.240Z (29 days ago)
- Topics: coq, coq-ci, coq-library, coq-platform, real-number
- Language: Coq
- Homepage: http://c-corn.github.io/
- Size: 10.8 MB
- Stars: 114
- Watchers: 13
- Forks: 45
- Open Issues: 9
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# C-CoRN
[![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/corn/actions/workflows/docker-action.yml/badge.svg?branch=master
[docker-action-link]: https://github.com/coq-community/corn/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
CoRN includes the following parts:
- Algebraic Hierarchy
An axiomatic formalization of the most common algebraic
structures, including setoids, monoids, groups, rings,
fields, ordered fields, rings of polynomials, real and
complex numbers
- Model of the Real Numbers
Construction of a concrete real number structure
satisfying the previously defined axioms
- Fundamental Theorem of Algebra
A proof that every non-constant polynomial on the complex
plane has at least one root
- Real Calculus
A collection of elementary results on real analysis,
including continuity, differentiability, integration,
Taylor's theorem and the Fundamental Theorem of Calculus
- Exact Real Computation
Fast verified computation inside Coq. This includes: real numbers, functions,
integrals, graphs of functions, differential equations.
## Meta
- Author(s):
- Evgeny Makarov
- Robbert Krebbers
- Eelis van der Weegen
- Bas Spitters
- Jelle Herold
- Russell O'Connor
- Cezary Kaliszyk
- Dan Synek
- Luís Cruz-Filipe
- Milad Niqui
- Iris Loeb
- Herman Geuvers
- Randy Pollack
- Freek Wiedijk
- Jan Zwanenburg
- Dimitri Hendriks
- Henk Barendregt
- Mariusz Giero
- Rik van Ginneken
- Dimitri Hendriks
- Sébastien Hinderer
- Bart Kirkels
- Pierre Letouzey
- Lionel Mamane
- Nickolay Shmyrev
- Vincent Semeria
- Coq-community maintainer(s):
- Bas Spitters ([**@spitters**](https://github.com/spitters))
- Vincent Semeria ([**@vincentse**](https://github.com/vincentse))
- Xia Li-yao ([**@Lysxia**](https://github.com/Lysxia))
- License: [GNU General Public License v2](LICENSE)
- Compatible Coq versions: Coq 8.18 or greater
- Additional dependencies:
- [Math-Classes](https://github.com/coq-community/math-classes) 8.8.1 or
greater, which is a library of abstract interfaces for mathematical
structures that is heavily based on Coq's type classes.
- [Bignums](https://github/com/coq/bignums)
- Coq namespace: `CoRN`
- Related publication(s):
- [See this page for the list of publications](http://corn.cs.ru.nl/pub.html)
## Building and installation instructions
The easiest way to install the latest released version of C-CoRN
is via [OPAM](https://opam.ocaml.org/doc/Install.html):
```shell
opam repo add coq-released https://coq.inria.fr/opam/released
opam install coq-corn
```
To instead build and install manually, you have to start with
the `bignums` dependency:
``` shell
git clone https://github.com/coq/bignums
cd bignums
make # or make -j
make install
```
The last `make install` is necessary, it copies `bignums` to
a common folder, which is usually `coq/user-contrib`. Afterwards
the similar commands for `math-classes` will find `bignums` there.
Finally build `corn` itself:
``` shell
git clone https://github.com/coq-community/corn
cd corn
./configure.sh
make # or make -j
make install
```
### Building C-CoRN with SCons
C-CoRN supports building with [SCons](http://www.scons.org/). SCons is a modern
Python-based Make-replacement.
To build C-CoRN with SCons run `scons` to build the whole library, or
`scons some/module.vo` to just build `some/module.vo` (and its dependencies).
In addition to common Make options like `-j N` and `-k`, SCons
supports some useful options of its own, such as `--debug=time`, which
displays the time spent executing individual build commands.
`scons -c` replaces Make clean
For more information, see the [SCons documentation](http://www.scons.org/).
### Building documentation
To build CoqDoc documentation, say `scons coqdoc`.