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Diffstat (limited to 'contrib/micromega/Micromegatac.v')
-rw-r--r-- | contrib/micromega/Micromegatac.v | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/contrib/micromega/Micromegatac.v b/contrib/micromega/Micromegatac.v new file mode 100644 index 00000000..13c7eace --- /dev/null +++ b/contrib/micromega/Micromegatac.v @@ -0,0 +1,79 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) +(* *) +(* Micromega: A reflexive tactic using the Positivstellensatz *) +(* *) +(* Frédéric Besson (Irisa/Inria) 2006-2008 *) +(* *) +(************************************************************************) + +Require Import ZMicromega. +Require Import QMicromega. +Require Import RMicromega. +Require Import QArith. +Require Export Ring_normalize. +Require Import ZArith. +Require Import Raxioms. +Require Export RingMicromega. +Require Import VarMap. +Require Tauto. + +Ltac micromegac dom d := + let tac := lazymatch dom with + | Z => + micromegap d ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; + apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | R => + rmicromegap d ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Reval_formula (@find R 0%R __varmap)) __ff) ; + apply (RTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | _ => fail "Unsupported domain" + end in tac. + +Tactic Notation "micromega" constr(dom) int_or_var(n) := micromegac dom n. +Tactic Notation "micromega" constr(dom) := micromegac dom ltac:-1. + +Ltac zfarkas := omicronp ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; + apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity. + +Ltac omicron dom := + let tac := lazymatch dom with + | Z => + zomicronp ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; + apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | Q => + qomicronp ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Qeval_formula (@find Q 0%Q __varmap)) __ff) ; + apply (QTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | R => + romicronp ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Reval_formula (@find R 0%R __varmap)) __ff) ; + apply (RTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | _ => fail "Unsupported domain" + end in tac. + +Ltac sos dom := + let tac := lazymatch dom with + | Z => + sosp ; + intros __wit __varmap __ff ; + change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; + apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity + | _ => fail "Unsupported domain" + end in tac. + + |