https://github.com/acorrenson/saturne

Tiny verified SAT-solver
https://github.com/acorrenson/saturne

coq formal-verification hacktoberfest sat sat-solver

Last synced: 3 months ago
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Tiny verified SAT-solver

• Host: GitHub
• URL: https://github.com/acorrenson/saturne
• Owner: acorrenson
• License: mit
• Created: 2020-04-04T12:54:01.000Z (almost 5 years ago)
• Default Branch: master
• Last Pushed: 2022-01-07T18:55:04.000Z (about 3 years ago)
• Last Synced: 2024-07-30T17:54:52.480Z (6 months ago)
• Topics: coq, formal-verification, hacktoberfest, sat, sat-solver
• Language: Coq
• Homepage:
• Size: 421 KB
• Stars: 18
• Watchers: 2
• Forks: 3
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        




    



# SATurne

*A purely functional verified SAT solver which produces proofs*



**SATurne** is a simple purely functional SAT solver written and verified in [Coq](https://coq.inria.fr/). It's a tiny solver absolutely not designed for performances nor scalability. It is, however, intended to be well-documented, easy to understand and extremely trustworthy.

**SATurne** is progressively integrated as the SAT solver behind the [Modulus](https://github.com/jdrprod/Modulus) SMT solver.

## Few words on SATurn design

At it's core, **SATurne** is a ridiculously simple solver very similar to the one described in

[this article](https://web.archive.org/web/20201109101535/http://www.cse.chalmers.se/~algehed/blogpostsHTML/SAT.html).

## Features

**SATurne** is not only a solver. It is also a collection of Coq theories formalizing the boolean logic and the associated proof systems (e.g. the resolution system).

**SATurne** is shipped with a proof checker to check proofs of unsatisfiability based on the resolution system. This checker is proven to be correct and can be extracted to a self contained OCaml module.

Since SATurne solve only formulas in clausal form, it also features a verified CNF converter.

## Coq Sources

The sources are located in the `src` folder. A `_CoqProject` and a makefile are provided. Simply type `make` at the project root SATurne is ready to be loaded in your favorite Coq editor.

### Structure/TODOs

```

src/

  Clauses.v     -> Theories of literals, clauses and set of clauses

  Cnf.v         -> conversion into cnf

  Proof.v       -> proof checker

  Evaluation.v  -> (old) models in boolean logic

  Sat.v         -> (old) facts about satisfiability

  Solver_aux.v  -> (old) useful facts used to prove the solver

  Solver.v      -> (old) verified solver

```