From 7d220f8b61649646692983872626d6a8042446a9 Mon Sep 17 00:00:00 2001
From: letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>
Date: Fri, 20 Mar 2009 01:22:58 +0000
Subject: Directory 'contrib' renamed into 'plugins', to end confusion with
 archive of user contribs

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11996 85f007b7-540e-0410-9357-904b9bb8a0f7
---
 plugins/micromega/Psatz.v | 76 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 76 insertions(+)
 create mode 100644 plugins/micromega/Psatz.v

(limited to 'plugins/micromega/Psatz.v')

diff --git a/plugins/micromega/Psatz.v b/plugins/micromega/Psatz.v
new file mode 100644
index 000000000..a3be56207
--- /dev/null
+++ b/plugins/micromega/Psatz.v
@@ -0,0 +1,76 @@
+(************************************************************************)
+(*  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.
+Declare ML Module "micromega_plugin".
+
+Ltac xpsatz dom d :=
+  let tac := lazymatch dom with
+  | Z => 
+    (sos_Z || psatz_Z 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 =>
+    (sos_R || psatz_R 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
+  | Q =>
+      (sos_Q || psatz_Q d) ;
+    intros __wit __varmap __ff ; 
+    change (Tauto.eval_f (Qeval_formula (@find Q 0%Q __varmap)) __ff) ; 
+    apply (QTautoChecker_sound __ff __wit); vm_compute ; reflexivity
+  | _ => fail "Unsupported domain"
+  end in tac.
+
+Tactic Notation "psatz" constr(dom) int_or_var(n) := xpsatz dom n.
+Tactic Notation "psatz" constr(dom) := xpsatz dom ltac:-1.
+
+Ltac psatzl dom :=
+  let tac := lazymatch dom with
+  | Z =>
+    psatzl_Z ;
+    intros __wit __varmap __ff ;
+    change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; 
+    apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity
+  | Q =>
+    psatzl_Q ; 
+    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 => 
+    psatzl_R ;
+    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 lia := 
+  xlia ;
+  intros __wit __varmap __ff ;
+    change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; 
+      apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity.
-- 
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