]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/etc/reduction/dfr.etc
update in delayed_updating and ground
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / etc / reduction / dfr.etc
diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/reduction/dfr.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/reduction/dfr.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "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/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,n.
-           let r ≝ p●𝗔◗b●𝗟◗q in
-           ∧∧ (⊗b ϵ 𝐁 ∧ 𝟎 = ❘b❘) & ↑❘q❘ = (▼[r]𝐢)@❨n❩ & r◖𝗱n ϵ t1 &
-              t1[⋔r←𝛗(n+❘b❘).(t1⋔(p◖𝗦))] ⇔ t2
-.
-
-interpretation
-  "focused balanced reduction with delayed updating (prototerm)"
-  'BlackRightArrowDF t1 p q t2 = (dfr p q t1 t2).