matita/matita/contribs/lambdadelta/static_2/static/cpce.ma

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  14
  15 include "static_2/notation/relations/pconveta_4.ma".
  16 include "static_2/relocation/lifts.ma".
  17 include "static_2/static/aaa.ma".
  18
  19 (* CONTEXT-SENSITIVE PARALLEL ETA-CONVERSION FOR TERMS **********************)
  20
  21 (* avtivate genv *)
  22 inductive cpce: relation4 genv lenv term term ≝
  23 | cpce_sort: ∀G,L,s. cpce G L (⋆s) (⋆s)
  24 | cpce_abbr: ∀G,K,V. cpce G (K.ⓓV) (#0) (#0)
  25 | cpce_abst: ∀G,K,W,B,A. ⦃G,K⦄ ⊢ W ⁝ ②B.A →
  26              cpce G (K.ⓛW) (#0) (+ⓛW.ⓐ#0.#1)
  27 | cpce_lref: ∀I,G,K,T,U,i. cpce G K (#i) T →
  28              ⬆*[1] T ≘ U → cpce G (K.ⓘ{I}) (#↑i) U
  29 | cpce_bind: ∀p,I,G,K,V1,V2,T1,T2.
  30              cpce G K V1 V2 → cpce G (K.ⓑ{I}V1) T1 T2 →
  31              cpce G K (ⓑ{p,I}V1.T1) (ⓑ{p,I}V2.T2)
  32 | cpce_flat: ∀I,G,L,V1,V2,T1,T2.
  33              cpce G L V1 V2 → cpce G L T1 T2 →
  34              cpce G L (ⓕ{I}V1.T1) (ⓕ{I}V2.T2)
  35 .
  36
  37 interpretation
  38    "context-sensitive parallel eta-conversion (term)"
  39    'PConvEta G L T1 T2 = (cpce G L T1 T2).