X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcpds.ma;h=692f1fb0a95f231f89ccb39449e8f84cb2670e2d;hb=fdb2c62b58006b82c015ba70b494d50c7860e28f;hp=981809df83531642104242d94ad1faf5ffd828fe;hpb=65008df95049eb835941ffea1aa682c9253c4c2b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
index 981809df8..692f1fb0a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds.ma
@@ -12,39 +12,35 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/dpredstar_5.ma".
-include "basic_2/unfold/sstas.ma".
+include "basic_2/notation/relations/dpredstar_6.ma".
+include "basic_2/unfold/lsstas.ma".
 include "basic_2/computation/cprs.ma".
 
 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
 
-definition cpds: ∀h. sd h → lenv → relation term ≝ λh,g,L,T1,T2.
-                 ∃∃T. ⦃h, L⦄ ⊢ T1 •*[g] T & L ⊢ T ➡* T2.
+definition cpds: ∀h. sd h → relation4 genv lenv term term ≝
+                 λh,g,G,L,T1,T2.
+                 ∃∃T,l1,l2. l2 ≤ l1 & ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 & ⦃G, L⦄ ⊢ T1 •*[h, g, l2] T & ⦃G, L⦄ ⊢ T ➡* T2.
 
 interpretation "decomposed extended parallel computation (term)"
-   'DPRedStar h g L T1 T2 = (cpds h g L T1 T2).
+   'DPRedStar h g G L T1 T2 = (cpds h g G L T1 T2).
 
 (* Basic properties *********************************************************)
 
-lemma cpds_refl: ∀h,g,L. reflexive … (cpds h g L).
-/2 width=3/ qed.
+lemma ssta_cprs_cpds: ∀h,g,G,L,T1,T,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T1 •[h, g] T →
+                      ⦃G, L⦄ ⊢ T ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+/3 width=7/ qed.
 
-lemma sstas_cpds: ∀h,g,L,T1,T2. ⦃h, L⦄ ⊢ T1 •*[g] T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
-/2 width=3/ qed.
+lemma lsstas_cpds: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l → ⦃G, L⦄ ⊢ T1 •*[h, g, l] T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+/2 width=7/ qed.
 
-lemma cprs_cpds: ∀h,g,L,T1,T2.  L ⊢ T1 ➡* T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
-/2 width=3/ qed.
+lemma cprs_cpds: ∀h,g,G,L,T1,T2,l.  ⦃G, L⦄ ⊢ T1 ▪[h, g] l → ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+/2 width=7/ qed.
 
-lemma cpds_strap1: ∀h,g,L,T1,T,T2.
-                   ⦃h, L⦄ ⊢ T1 •*➡*[g] T → L ⊢ T ➡ T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
-#h #g #L #T1 #T #T2 * /3 width=5/
-qed.
+lemma cpds_refl: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T ▪[h, g] l → ⦃G, L⦄ ⊢ T •*➡*[h, g] T.
+/2 width=2/ qed.
 
-lemma cpds_strap2: ∀h,g,L,T1,T,T2,l.
-                   ⦃h, L⦄ ⊢ T1 •[g] ⦃l+1, T⦄ → ⦃h, L⦄ ⊢ T •*➡*[g] T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
-#h #g #L #T1 #T #T2 #l #HT1 * /3 width=4/
+lemma cpds_strap1: ∀h,g,G,L,T1,T,T2.
+                   ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T → ⦃G, L⦄ ⊢ T ➡ T2 → ⦃G, L⦄ ⊢ T1 •*➡*[h, g] T2.
+#h #g #G #L #T1 #T #T2 * /3 width=9/
 qed.
-
-lemma ssta_cprs_cpds: ∀h,g,L,T1,T,T2,l. ⦃h, L⦄ ⊢ T1 •[g] ⦃l+1, T⦄ →
-                      L ⊢ T ➡* T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
-/3 width=3/ qed.