matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/fprs_fprs.etc

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  14
  15 include "basic_2/reducibility/fpr_fpr.ma".
  16 include "basic_2/computation/fprs.ma".
  17
  18 (* CONTEXT-FREE PARALLEL COMPUTATION ON CLOSURES ****************************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma fprs_strip: ∀L0,L1,T0,T1. ⦃L0, T0⦄ ➡ ⦃L1, T1⦄ →
  23                   ∀L2,T2. ⦃L0, T0⦄ ➡* ⦃L2, T2⦄ →
  24                   ∃∃L,T. ⦃L1, T1⦄ ➡* ⦃L, T⦄ & ⦃L2, T2⦄ ➡ ⦃L, T⦄.
  25 #H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8
  26 /2 width=4/ qed.
  27
  28 (* Main propertis ***********************************************************)
  29
  30 theorem fprs_conf: bi_confluent … fprs.
  31 /2 width=4/ qed.
  32
  33 theorem fprs_trans: bi_transitive … fprs.
  34 /2 width=4/ qed.