diff options
Diffstat (limited to 'plugins/micromega/QMicromega.v')
| -rw-r--r-- | plugins/micromega/QMicromega.v | 12 |
1 files changed, 12 insertions, 0 deletions
diff --git a/plugins/micromega/QMicromega.v b/plugins/micromega/QMicromega.v index e0056c5fa..f64504a54 100644 --- a/plugins/micromega/QMicromega.v +++ b/plugins/micromega/QMicromega.v @@ -173,8 +173,15 @@ Require Import Tauto. Definition Qnormalise := @cnf_normalise Q 0 1 Qplus Qmult Qminus Qopp Qeq_bool. Definition Qnegate := @cnf_negate Q 0 1 Qplus Qmult Qminus Qopp Qeq_bool. +Definition qunsat := check_inconsistent 0 Qeq_bool Qle_bool. + +Definition qdeduce := nformula_plus_nformula 0 Qplus Qeq_bool. + + + Definition QTautoChecker (f : BFormula (Formula Q)) (w: list QWitness) : bool := @tauto_checker (Formula Q) (NFormula Q) + qunsat qdeduce Qnormalise Qnegate QWitness QWeakChecker f w. @@ -186,6 +193,11 @@ Proof. unfold QTautoChecker. apply (tauto_checker_sound Qeval_formula Qeval_nformula). apply Qeval_nformula_dec. + intros until env. + unfold eval_nformula. unfold RingMicromega.eval_nformula. + destruct t. + apply (check_inconsistent_sound Qsor QSORaddon) ; auto. + unfold qdeduce. apply (nformula_plus_nformula_correct Qsor QSORaddon). intros. rewrite Qeval_formula_compat. unfold Qeval_formula'. now apply (cnf_normalise_correct Qsor QSORaddon). intros. rewrite Qeval_formula_compat. unfold Qeval_formula'. now apply (cnf_negate_correct Qsor QSORaddon). intros t w0. |