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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  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_computation/cprs_cprs.ma".
  16 include "basic_2/rt_computation/lprs_cpms.ma".
  17
  18 (* PARALLEL R-COMPUTATION FOR FULL LOCAL ENVIRONMENTS ***********************)
  19
  20 (* Main properties **********************************************************)
  21
  22 theorem lprs_trans (h) (G): Transitive … (lprs h G).
  23 /4 width=5 by lprs_cpms_trans, cprs_trans, lex_trans/ qed-.
  24
  25 theorem lprs_conf (h) (G): confluent2 … (lprs h G) (lprs h G).
  26 #h #G #L0 #L1 #HL01 #L2 #HL02
  27 elim (TC_confluent2 … L0 L1 … L2)
  28 [ /3 width=3 by lprs_TC, ex2_intro/ |5,6: skip
  29 | /2 width=1 by lprs_inv_TC/
  30 | /2 width=1 by lprs_inv_TC/
  31 | /2 width=3 by lpr_conf/
  32 ]
  33 qed-.