(* *)
(**************************************************************************)
-include "delayed_updating/syntax/path_depth.ma".
-include "delayed_updating/syntax/path_structure.ma".
-include "delayed_updating/syntax/path_balanced.ma".
+include "delayed_updating/unwind1/unwind.ma".
+include "delayed_updating/substitution/fsubst.ma".
include "delayed_updating/syntax/prototerm_constructors.ma".
include "delayed_updating/syntax/prototerm_equivalence.ma".
-include "delayed_updating/substitution/fsubst.ma".
+include "delayed_updating/syntax/path_structure.ma".
+include "delayed_updating/syntax/path_balanced.ma".
+include "delayed_updating/syntax/path_depth.ma".
include "delayed_updating/notation/relations/black_rightarrow_df_4.ma".
+include "ground/xoa/ex_1_2.ma".
+include "ground/xoa/and_4.ma".
(* DELAYED FOCUSED REDUCTION ************************************************)
definition dfr (p) (q): relation2 prototerm prototerm ≝
- λt1,t2. ∃b.
+ λt1,t2. ∃∃b,n.
let r ≝ p●𝗔◗b●𝗟◗q in
- â\88§â\88§ â\8a\93(â\8a\97b) & râ\97\96ð\9d\97±(â\86\91â\9d\98qâ\9d\98) ϵ t1 &
- t2 ⇔ t1[⋔r←𝛗(↑❘q❘).t1⋔(p◖𝗦)]
+ â\88§â\88§ â\8a\97b ϵ ð\9d\90\81 & â\86\91â\9d\98qâ\9d\98 = (â\96¼[r]ð\9d\90¢)@â\9d¨nâ\9d© & râ\97\96ð\9d\97±n ϵ t1 &
+ t1[⋔r←𝛗(n+❘b❘).(t1⋔(p◖𝗦))] ⇔ t2
.
interpretation