matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_aaa.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/rt_transition/cpm_aaa.ma".
  16 include "basic_2/rt_computation/cpxs_aaa.ma".
  17 include "basic_2/rt_computation/cpms_cpxs.ma".
  18
  19 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  20
  21 (* Properties with atomic arity assignment on terms *************************)
  22
  23 (* Basic_2A1: uses: scpds_aaa_conf *)
  24 (* Basic_2A1: includes: cprs_aaa_conf *)
  25 lemma cpms_aaa_conf (n) (h): ∀G,L. Conf3 … (aaa G L) (cpms h G L n).
  26 /3 width=5 by cpms_fwd_cpxs, cpxs_aaa_conf/ qed-.
  27
  28 lemma cpms_total_aaa (h) (G) (L) (n) (A):
  29       ∀T. ⦃G, L⦄ ⊢ T ⁝ A → ∃U. ⦃G,L⦄ ⊢ T ➡*[n,h] U.
  30 #h #G #L #n elim n -n
  31 [ /2 width=3 by ex_intro/
  32 | #n #IH #A #T1 #HT1 <plus_SO
  33   elim (IH … HT1) -IH #T0 #HT10
  34   lapply (cpms_aaa_conf … HT1 … HT10) -HT1 #HT0
  35   elim (aaa_cpm_SO h … HT0) -HT0 #T2 #HT02
  36   /3 width=4 by cpms_step_dx, ex_intro/
  37 ]
  38 qed-.