- bugfixed "aacr" allows to remove historical eta-conversions

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / acp.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
index 59f59606b151fb023d54dec3ffbfa21bca87f362..6bcbfe4c7982511c4688364c154cfd64d72849e9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/acp.ma
@@ -17,6 +17,8 @@ include "basic_2/multiple/drops.ma".
 
 (* ABSTRACT COMPUTATION PROPERTIES ******************************************)
 
+definition candidate: Type[0] ≝ relation3 genv lenv term.
+
 definition CP0 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
                  ∀G,L0,L,T,T0,s,d,e. NF … (RR G L) RS T →
                  ⇩[s, d, e] L0 ≡ L → ⇧[d, e] T ≡ T0 → NF … (RR G L0) RS T0.
@@ -29,18 +31,14 @@ definition CP0s ≝ λRR:relation4 genv lenv term term. λRS:relation term.
 definition CP1 ≝ λRR:relation4 genv lenv term term. λRS:relation term.
                  ∀G,L. ∃k. NF … (RR G L) RS (⋆k).
 
-definition CP2 ≝ λRP:relation3 genv lenv term.
+definition CP2 ≝ λRP:candidate.
                  ∀G,L,T,k. RP G L (ⓐ⋆k.T) → RP G L T.
 
-definition CP3 ≝ λRP:relation3 genv lenv term.
-                 ∀G,L,W,T. RP G L W → RP G L T → RP G L (ⓝW.T).
-
 (* requirements for abstract computation properties *)
-record acp (RR:relation4 genv lenv term term) (RS:relation term) (RP:relation3 genv lenv term) : Prop ≝
+record acp (RR:relation4 genv lenv term term) (RS:relation term) (RP:candidate) : Prop ≝
 { cp0: CP0 RR RS;
   cp1: CP1 RR RS;
-  cp2: CP2 RP;
-  cp3: CP3 RP
+  cp2: CP2 RP
 }.
 
 (* Basic properties *********************************************************)