matita/matita/contribs/lambda_delta/Basic_2/computation/acp.ma

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  14
  15 include "Basic_2/substitution/ldrop.ma".
  16
  17 (* ABSTRACT COMPUTATION PROPERTIES ******************************************)
  18
  19 definition CP1 ≝ λRR:lenv→relation term. λRS:relation term.
  20                  ∀L,k. NF … (RR L) RS (⋆k).
  21
  22 definition CP2 ≝ λRR:lenv→relation term. λRS:relation term.
  23                  ∀L,K,W,i. ⇓[0,i] L ≡ K. 𝕓{Abst} W → NF … (RR L) RS (#i).
  24
  25 definition CP3 ≝ λRR:lenv→relation term. λRP:lenv→predicate term.
  26                  ∀L,V,k. RP L (𝕔{Appl}⋆k.V) → RP L V.
  27
  28 (* requirements for abstract computation properties *)
  29 record acp (RR:lenv->relation term) (RS:relation term) (RP:lenv→predicate term) : Prop ≝
  30 { cp1: CP1 RR RS;
  31   cp2: CP2 RR RS;
  32   cp3: CP3 RR RP
  33 }.