update in basic_2 and static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / cpce.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/cpce.ma b/matita/matita/contribs/lambdadelta/static_2/static/cpce.ma
new file mode 100644 (file)
index 0000000..c24dc49
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/static/cpce.ma
@@ -0,0 +1,39 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/notation/relations/pconveta_4.ma".
+include "static_2/relocation/lifts.ma".
+include "static_2/static/aaa.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL ETA-CONVERSION FOR TERMS **********************)
+
+(* avtivate genv *)
+inductive cpce: relation4 genv lenv term term ≝
+| cpce_sort: ∀G,L,s. cpce G L (⋆s) (⋆s)
+| cpce_abbr: ∀G,K,V. cpce G (K.ⓓV) (#0) (#0)
+| cpce_abst: ∀G,K,W,B,A. ⦃G,K⦄ ⊢ W ⁝ ②B.A →
+             cpce G (K.ⓛW) (#0) (+ⓛW.ⓐ#0.#1)
+| cpce_lref: ∀I,G,K,T,U,i. cpce G K (#i) T →
+             ⬆*[1] T ≘ U → cpce G (K.ⓘ{I}) (#↑i) U
+| cpce_bind: ∀p,I,G,K,V1,V2,T1,T2.
+             cpce G K V1 V2 → cpce G (K.ⓑ{I}V1) T1 T2 →
+             cpce G K (ⓑ{p,I}V1.T1) (ⓑ{p,I}V2.T2)
+| cpce_flat: ∀I,G,L,V1,V2,T1,T2.
+             cpce G L V1 V2 → cpce G L T1 T2 →
+             cpce G L (ⓕ{I}V1.T1) (ⓕ{I}V2.T2)
+.
+
+interpretation
+   "context-sensitive parallel eta-conversion (term)"
+   'PConvEta G L T1 T2 = (cpce G L T1 T2).