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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
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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/substitution/fsubst.ma".
-include "delayed_updating/syntax/prototerm_constructors.ma".
-include "delayed_updating/syntax/prototerm_eq.ma".
-include "delayed_updating/syntax/path_closed.ma".
-include "delayed_updating/notation/relations/black_rightarrow_df_3.ma".
-include "ground/xoa/ex_4_3.ma".
-
-(* DELAYED FOCUSED REDUCTION ************************************************)
-
-definition dfr (r): relation2 prototerm prototerm ≝
-           λt1,t2.
-           ∃∃p,q,n. p●𝗔◗𝗟◗q = r &
-           q ϵ 𝐂❨Ⓕ,n❩ & r◖𝗱↑n ϵ t1 &
-           t1[⋔r←𝛕↑n.(t1⋔(p◖𝗦))] ⇔ t2
-.
-
-interpretation
-  "focused reduction with delayed updating (prototerm)"
-  'BlackRightArrowDF t1 r t2 = (dfr r t1 t2).