update in ground_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lprs_ctc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_ctc.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_ctc.ma
new file mode 100644 (file)
index 0000000..ecef51f
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_ctc.ma
@@ -0,0 +1,30 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/rt_computation/cprs_ctc.ma".
+include "basic_2/rt_computation/lprs.ma".
+
+(* PARALLEL R-COMPUTATION FOR FULL LOCAL ENVIRONMENTS ***********************)
+
+(* Properties with contextual transitive closure ****************************)
+
+lemma lprs_CTC (h) (G):
+               ∀L1,L2. L1⪤[CTC … (λL. cpm h G L 0)] L2 → ⦃G, L1⦄⊢ ➡*[h] L2. 
+/3 width=3 by cprs_CTC, lex_co/ qed.
+
+(* Inversion lemmas with contextual transitive closure **********************)
+
+lemma lprs_inv_CTC (h) (G):
+                   ∀L1,L2. ⦃G, L1⦄⊢ ➡*[h] L2 → L1⪤[CTC … (λL. cpm h G L 0)] L2.
+/3 width=3 by cprs_inv_CTC, lex_co/ qed-.