(* *)
(**************************************************************************)
-include "basic_2/reduction/lpx_aaa.ma".
-include "basic_2/computation/cpxs.ma".
+include "basic_2/rt_transition/lfpx_aaa.ma".
+include "basic_2/rt_computation/cpxs.ma".
-(* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
+(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS ************)
-(* Properties about atomic arity assignment on terms ************************)
+(* Properties with atomic arity assignment on terms *************************)
-lemma cpxs_aaa_conf: ∀h,o,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
- ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
-#h #o #G #L #T1 #A #HT1 #T2 #HT12
-@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/
+lemma cpxs_aaa_conf: ∀h,G,L. Conf3 … (aaa G L) (cpxs h G L).
+#h #G #L @TC_Conf3 @cpx_aaa_conf (**) (* auto fails *)
qed-.
-
-lemma cprs_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
-/3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.