+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/substitution/lift_prototerm.ma".
-include "delayed_updating/syntax/prototerm_eq.ma".
-include "delayed_updating/syntax/path_head.ma".
-include "delayed_updating/syntax/path_balanced.ma".
-include "delayed_updating/syntax/path_structure.ma".
-include "delayed_updating/notation/relations/black_rightarrow_ibf_3.ma".
-include "ground/relocation/tr_uni.ma".
-include "ground/arith/nat_rplus.ma".
-include "ground/xoa/ex_6_5.ma".
-
-(* IMMEDIATE BALANCED FOCUSED REDUCTION *************************************)
-
-(**) (* explicit ninj because we cannot declare the expectd type of k *)
-definition ibfr (r): relation2 prototerm prototerm ≝
- λt1,t2.
- ∃∃p,b,q,h,k. p●𝗔◗b●𝗟◗q = r &
- ⊗b ϵ 𝐁 & b = ↳[h]b &
- (𝗟◗q) = ↳[ninj k](𝗟◗q) & r◖𝗱k ϵ t1 &
- t1[⋔r←↑[𝐮❨k+h❩](t1⋔(p◖𝗦))] ⇔ t2
-.
-
-interpretation
- "balanced focused reduction with immediate updating (prototerm)"
- 'BlackRightArrowIBF t1 r t2 = (ibfr r t1 t2).