X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Freduction%2Fifr.ma;h=2a6553d9d0dd428614c7fdb648ad3e2eff9e8261;hb=7008128d354c6e998a87bc2febe9f86ea714869c;hp=90cd693c3a0777438aee4cc4ea299f1d2cfe7dcb;hpb=00fca351072c2dba11b71c14b1169d303fd6836f;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma index 90cd693c3..2a6553d9d 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma @@ -12,23 +12,23 @@ (* *) (**************************************************************************) -include "delayed_updating/unwind/unwind2_prototerm.ma". include "delayed_updating/substitution/fsubst.ma". -include "delayed_updating/syntax/prototerm_equivalence.ma". -include "delayed_updating/syntax/path_head.ma". -include "delayed_updating/syntax/path_depth.ma". -include "delayed_updating/syntax/path_reverse.ma". -include "delayed_updating/notation/relations/black_rightarrow_f_4.ma". +include "delayed_updating/substitution/lift_prototerm.ma". +include "delayed_updating/syntax/prototerm_eq.ma". +include "delayed_updating/syntax/path_closed.ma". +include "delayed_updating/notation/relations/black_rightarrow_if_3.ma". +include "ground/relocation/tr_uni.ma". +include "ground/xoa/ex_4_3.ma". (* IMMEDIATE FOCUSED REDUCTION ************************************************) -definition ifr (p) (q): relation2 prototerm prototerm ≝ - λt1,t2. ∃n:pnat. - let r ≝ p●𝗔◗𝗟◗q in - ∧∧ (𝗟◗q)ᴿ = ↳[n](rᴿ) & r◖𝗱n ϵ t1 & - t1[⋔r←▼[𝐮❨♭(𝗟◗q)❩](t1⋔(p◖𝗦))] ⇔ t2 +definition ifr (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←🠡[𝐮❨↑n❩](t1⋔(p◖𝗦))] ⇔ t2 . interpretation - "focused balanced reduction with immediate updating (prototerm)" - 'BlackRightArrowF t1 p q t2 = (ifr p q t1 t2). + "focused reduction with immediate updating (prototerm)" + 'BlackRightArrowIF t1 r t2 = (ifr r t1 t2).