update in ground_2 and basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_ctc.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_ctc.ma
new file mode 100644 (file)
index 0000000..dd5b0fc
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_ctc.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "ground_2/lib/ltc_ctc.ma".
+include "basic_2/rt_computation/cpms.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL R-COMPUTATION FOR TERMS ***********************)
+
+(* Properties with contextual transitive closure ****************************)
+
+lemma cprs_CTC (h) (G) (L): CTC … (λL. cpm h G L 0) L ⊆ cpms h G L 0.
+/2 width=1 by ltc_CTC/ qed.
+
+(* Inversion lemmas with contextual transitive closure **********************)
+
+lemma cprs_inv_CTC (h) (G) (L): cpms h G L 0 ⊆ CTC … (λL. cpm h G L 0) L.
+#h #G @ltc_inv_CTC //
+(**) (* this shoould be just @plus_inv_O3 *)
+#x1 #x2 #Hx12 elim (plus_inv_O3 x1 x2) /2 width=1 by conj/
+qed-.