fabiensiron / coqsat

Coq implementation and proof of a basic SAT algorithm

CoqSat

CoqSat is a Coq implementation of a basic Sat algorithm with soundness proof. Its goal is only pedagogical.

Installation

To build:

source env_win32.sh # if on win32 via linux subsystem
./configure.sh # generate makefile with coq_makefile
make

I recommand using proof-general, the emacs plugin. Tested with Coq 8.8.2.

Usage

Require Import Formula.

Definition X := Var 0.
Definition Y := Var 1.

Definition ex :=
  And (Or X (Negate Y))
      (Or (Negate X) Y).

Definition model : valuation :=
  update_valuation
    (update_valuation empty_valuation 0 true)
    1 true.


Compute (simplify_and_valuate model ex).

Require Import Solver.

Compute (solver ex).

TODO

• DPLL solver and soundness
• use it as an ocaml library

License

Beerware