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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 notation "hvbox( T1 ➡ ➡ * break term 46 T2 )"
16 non associative with precedence 45
17 for @{ 'PRedStarAlt $T1 $T2 }.
19 include "basic_2/computation/ltprs.ma".
21 (* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
23 (* alternative definition of ltprs *)
24 definition ltprsa: relation lenv ≝ lpx tprs.
27 "context-free parallel computation (environment) alternative"
28 'PRedStarAlt L1 L2 = (ltprsa L1 L2).
30 (* Basic properties *********************************************************)
32 lemma ltprs_ltprsa: ∀L1,L2. L1 ➡* L2 → L1 ➡➡* L2.
35 (* Basic inversion lemmas ***************************************************)
37 lemma ltprsa_ltprs: ∀L1,L2. L1 ➡➡* L2 → L1 ➡* L2.