From a4c7f8bd98be2a200489325ff7c5061cf80ab4f3 Mon Sep 17 00:00:00 2001
From: Enrico Tassi <gareuselesinge@debian.org>
Date: Tue, 27 Dec 2016 16:53:30 +0100
Subject: Imported Upstream version 8.6

---
 plugins/micromega/Lqa.v | 51 +++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 51 insertions(+)
 create mode 100644 plugins/micromega/Lqa.v

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

diff --git a/plugins/micromega/Lqa.v b/plugins/micromega/Lqa.v
new file mode 100644
index 00000000..acd2751a
--- /dev/null
+++ b/plugins/micromega/Lqa.v
@@ -0,0 +1,51 @@
+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
+(*   \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)      2016                             *)
+(*                                                                      *)
+(************************************************************************)
+
+Require Import QMicromega.
+Require Import QArith.
+Require Import RingMicromega.
+Require Import VarMap.
+Require Coq.micromega.Tauto.
+Declare ML Module "micromega_plugin".
+
+Ltac rchange := 
+  intros __wit __varmap __ff ;
+  change (Tauto.eval_f (Qeval_formula (@find Q 0%Q __varmap)) __ff) ;
+  apply (QTautoChecker_sound __ff __wit).
+
+Ltac rchecker_no_abstract := rchange ; vm_compute ; reflexivity.
+Ltac rchecker_abstract   := rchange ; vm_cast_no_check (eq_refl true).
+
+Ltac rchecker := rchecker_no_abstract.
+
+(** Here, lra stands for linear rational arithmetic *)
+Ltac lra := lra_Q  rchecker.
+
+(** Here, nra stands for non-linear rational arithmetic *)
+Ltac nra := xnqa  rchecker.
+
+Ltac xpsatz dom d :=
+  let tac := lazymatch dom with
+  | Q =>
+    ((sos_Q rchecker) || (psatz_Q d rchecker))
+  | _ => 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).
+
+
+(* Local Variables: *)
+(* coding: utf-8 *)
+(* End: *)
-- 
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