diff options
| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-03-20 01:22:58 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-03-20 01:22:58 +0000 |
| commit | 7d220f8b61649646692983872626d6a8042446a9 (patch) | |
| tree | fefceb2c59cf155c55fffa25ad08bec629de523e /plugins/omega/Omega.v | |
| parent | ad1fea78e3c23c903b2256d614756012d5f05d87 (diff) | |
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
Diffstat (limited to 'plugins/omega/Omega.v')
| -rw-r--r-- | plugins/omega/Omega.v | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/plugins/omega/Omega.v b/plugins/omega/Omega.v new file mode 100644 index 000000000..30b945718 --- /dev/null +++ b/plugins/omega/Omega.v @@ -0,0 +1,59 @@ +(************************************************************************) +(* 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 *) +(************************************************************************) +(**************************************************************************) +(* *) +(* Omega: a solver of quantifier-free problems in Presburger Arithmetic *) +(* *) +(* Pierre Crégut (CNET, Lannion, France) *) +(* *) +(**************************************************************************) + +(* $Id$ *) + +(* We do not require [ZArith] anymore, but only what's necessary for Omega *) +Require Export ZArith_base. +Require Export OmegaLemmas. +Require Export PreOmega. +Declare ML Module "omega_plugin". + +Hint Resolve Zle_refl Zplus_comm Zplus_assoc Zmult_comm Zmult_assoc Zplus_0_l + Zplus_0_r Zmult_1_l Zplus_opp_l Zplus_opp_r Zmult_plus_distr_l + Zmult_plus_distr_r: zarith. + +Require Export Zhints. + +(* +(* The constant minus is required in coq_omega.ml *) +Require Minus. +*) + +Hint Extern 10 (_ = _ :>nat) => abstract omega: zarith. +Hint Extern 10 (_ <= _) => abstract omega: zarith. +Hint Extern 10 (_ < _) => abstract omega: zarith. +Hint Extern 10 (_ >= _) => abstract omega: zarith. +Hint Extern 10 (_ > _) => abstract omega: zarith. + +Hint Extern 10 (_ <> _ :>nat) => abstract omega: zarith. +Hint Extern 10 (~ _ <= _) => abstract omega: zarith. +Hint Extern 10 (~ _ < _) => abstract omega: zarith. +Hint Extern 10 (~ _ >= _) => abstract omega: zarith. +Hint Extern 10 (~ _ > _) => abstract omega: zarith. + +Hint Extern 10 (_ = _ :>Z) => abstract omega: zarith. +Hint Extern 10 (_ <= _)%Z => abstract omega: zarith. +Hint Extern 10 (_ < _)%Z => abstract omega: zarith. +Hint Extern 10 (_ >= _)%Z => abstract omega: zarith. +Hint Extern 10 (_ > _)%Z => abstract omega: zarith. + +Hint Extern 10 (_ <> _ :>Z) => abstract omega: zarith. +Hint Extern 10 (~ (_ <= _)%Z) => abstract omega: zarith. +Hint Extern 10 (~ (_ < _)%Z) => abstract omega: zarith. +Hint Extern 10 (~ (_ >= _)%Z) => abstract omega: zarith. +Hint Extern 10 (~ (_ > _)%Z) => abstract omega: zarith. + +Hint Extern 10 False => abstract omega: zarith.
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