https://github.com/GeoCoq/GeoCoq

A formalization of geometry in Coq based on Tarski's axiom system
https://github.com/GeoCoq/GeoCoq

archimedes continuity coq desargues elements euclid formalization geometry hilbert-axioms pappus parallel-postulate tarski-axiom

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A formalization of geometry in Coq based on Tarski's axiom system

• Host: GitHub
• URL: https://github.com/GeoCoq/GeoCoq
• Owner: GeoCoq
• License: lgpl-3.0
• Created: 2015-07-15T11:41:05.000Z (over 9 years ago)
• Default Branch: master
• Last Pushed: 2024-05-31T14:01:45.000Z (6 months ago)
• Last Synced: 2024-05-31T15:54:51.304Z (6 months ago)
• Topics: archimedes, continuity, coq, desargues, elements, euclid, formalization, geometry, hilbert-axioms, pappus, parallel-postulate, tarski-axiom
• Language: Coq
• Size: 7.66 MB
• Stars: 175
• Watchers: 19
• Forks: 26
• Open Issues: 4
• Metadata Files:
  • Readme: README.md
  • Changelog: Changelog
  • License: LICENSE
  • Authors: AUTHORS

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README

        
# GeoCoq

A formalization of geometry in Coq.

This library contains a formalization of geometry using the Coq proof assistant. It contains both proofs about the foundations of geometry and high-level proofs in the same style as in high-school.

Details and installation instructions can be found [here](http://geocoq.github.io/GeoCoq/).

Bug reports are to be submitted [here](https://github.com/GeoCoq/GeoCoq/issues).

It is possible to contact the authors of the GeoCoq library using our [mailing list](https://groups.google.com/forum/?hl=fr#!forum/geocoq).

GeoCoq is available as [releases packages](https://github.com/coq/opam/tree/master/released).

## Building and installation

- To get the required dependencies, you can use [opam](https://opam.ocaml.org).

  - To pin [pin](https://opam.ocaml.org/doc/Usage.html#opam-pin) the development packages.

    - `opam pin -n .`

  - GeoCoq relies on other released packages that need to be [added](https://opam.ocaml.org/doc/Usage.html#opam-repo).

    - `opam repo add coq-released https://coq.inria.fr/opam/released`

  - The required dependencies can now be installed:

    - `opam install ./coq-geocoq-coinc.opam --deps-only` to get the _GeoCoq Coinc_ dependencies;

    - `opam install ./coq-geocoq-axioms.opam --deps-only` to get the _GeoCoq Axioms_ dependencies;

    - `opam install ./coq-geocoq-elements.opam --deps-only` to get the _GeoCoq Elements_ dependencies;

    - `opam install ./coq-geocoq-main.opam --deps-only` to get the _GeoCoq Main_ dependencies;

    - `opam install ./coq-geocoq-algebraic.opam --deps-only` to get the _GeoCoq Algebraic_ dependencies;

    - `opam install ./coq-geocoq.opam --deps-only` to get the _GeoCoq_ dependencies.

- The general Makefile is in the top directory.

  - `make` : compilation of the Coq scripts (after using `./configure.sh`).

- [Dune](https://dune.readthedocs.io/en/stable/coq.html) can used for compilation.

  - `dune build`

- You may also rely on `dune` to install just one part. Run:

  - `dune build coq-geocoq-coinc.install` to build only the _GeoCoq Coinc_ part (and its dependencies);

  - `dune build coq-geocoq-axioms.install` to build only the _GeoCoq Axioms_ part (and its dependencies);

  - `dune build coq-geocoq-elements.install` to build only the _GeoCoq Elements_ part (and its dependencies);

  - `dune build coq-geocoq-main.install` to build only the _GeoCoq Main_ part (and its dependencies);

  - `dune build coq-geocoq-algebraic.install` to build only the _GeoCoq Algebraic_ part (and its dependencies);

  - `dune build coq-geocoq.install` to build only the _GeoCoq_ part (and its dependencies).