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14
15 include "basic_2/reducibility/ltpr_ltpr.ma".
16 include "basic_2/computation/ltprs.ma".
17
18 (* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
19
20 (* Advanced properties ******************************************************)
21
22 lemma ltprs_strip: ∀L1. ∀L:lenv. L ➡* L1 → ∀L2. L ➡ L2 →
23                    ∃∃L0. L1 ➡ L0 & L2 ➡* L0.
24 /3 width=3/ qed.
25
26 (* Main properties **********************************************************)
27
28 theorem ltprs_conf: confluent … ltprs.
29 /3 width=3/ qed.
30
31 theorem ltprs_trans: Transitive … ltprs.
32 /2 width=3/ qed.