1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_2/computation/ltprs.ma".
17 (* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
19 (* alternative definition of ltprs *)
20 definition ltprsa: relation lenv ≝ lpx tprs.
23 "context-free parallel computation (environment) alternative"
24 'PRedStarAlt L1 L2 = (ltprsa L1 L2).
26 (* Basic properties *********************************************************)
28 lemma ltprs_ltprsa: ∀L1,L2. L1 ➡* L2 → L1 ➡➡* L2.
31 (* Basic inversion lemmas ***************************************************)
33 lemma ltprsa_ltprs: ∀L1,L2. L1 ➡➡* L2 → L1 ➡* L2.