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

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  14
  15 include "Basic_2/grammar/aarity.ma".
  16 include "Basic_2/grammar/lenv.ma".
  17
  18 (* ABSTRACT CANDIDATES OF REDUCIBILITY **************************************)
  19
  20 (* the abstract candidate of reducibility associated to an atomic arity *)
  21 let rec acr (R:lenv→predicate term) (A:aarity) (L:lenv) on A: predicate term ≝
  22 λT. match A with
  23 [ AAtom     ⇒ R L T
  24 | APair B A ⇒ ∀V. acr R B L V → acr R A L (𝕔{Appl} V. T)
  25 ].
  26
  27 interpretation
  28    "candidate of reducibility (abstract)"
  29    'InEInt R L T A = (acr R A L T).