update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr.ma
index 724168bdf800bc9ede762ee9f5493700704b30f9..ed077ae2cc772df22b7227dab1750ace5c243afd 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr.ma
@@ -12,20 +12,21 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "ground/xoa/ex_3_1.ma".
+include "delayed_updating/syntax/path_depth.ma".
 include "delayed_updating/syntax/path_structure.ma".
 include "delayed_updating/syntax/path_balanced.ma".
+include "delayed_updating/syntax/prototerm_constructors.ma".
 include "delayed_updating/substitution/fsubst.ma".
-include "delayed_updating/notation/relations/black_rightarrow_4.ma".
+include "delayed_updating/notation/relations/black_rightarrow_df_4.ma".
 
-(* DELAYED FOCALIZED REDUCTION **********************************************)
+(* DELAYED FOCUSED REDUCTION ************************************************)
 
-inductive dfr (p) (q) (t): predicate preterm ≝
-| dfr_beta (b) (n):
-  let r ≝ p●𝗔◗b●𝗟◗q◖𝗱❨n❩ in
-  r ϵ t → ⊓⊗b → dfr p q t (t[⋔r←t⋔(p◖𝗦)])
+inductive dfr (p) (q) (t): predicate prototerm ≝
+| dfr_beta (b):
+  let r ≝ p●𝗔◗b●𝗟◗q in
+  r◖𝗱(↑❘q❘) ϵ t → ⊓(⊗b) → dfr p q t (t[⋔r←𝛗(↑❘q❘).t⋔(p◖𝗦)])
 .
 
 interpretation
-  "delayed focalized reduction (preterm)"
-  'BlackRightArrow t1 p q t2 = (dfr p q t1 t2).
+  "focused balanced reduction with delayed updating (prototerm)"
+  'BlackRightArrowDF t1 p q t2 = (dfr p q t1 t2).