Section SIMU_DETERM_STAR.
Variable measure: state L1 -> nat.
Hypothesis simulation:
forall s1 t s1', Step L1 s1 t s1' ->
forall s2, match_states s1 s2 ->
exists s1'' s2',
Star L1 s1' E0 s1''
/\ (Plus L2 s2 t s2' \/ (Star L2 s2 t s2' /\ measure s1'' < measure s1))%nat
/\ match_states s1'' s2'.

Lemma forward_simulation_determ_star: forward_simulation L1 L2.