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Diffstat (limited to 'plugins/micromega/Lqa.v')
-rw-r--r-- | plugins/micromega/Lqa.v | 51 |
1 files changed, 51 insertions, 0 deletions
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: *) |