Section BIGSTEP_TO_TRANSITIONS.
Variable prog: program.
Let ge : genv := globalenv prog.
Inductive outcome_state_match
(e: env) (le: temp_env) (m: mem) (f: function) (k: cont): outcome -> state -> Prop :=
| osm_normal:
outcome_state_match e le m f k Out_normal (State f Sskip k e le m)
| osm_break:
outcome_state_match e le m f k Out_break (State f Sbreak k e le m)
| osm_continue:
outcome_state_match e le m f k Out_continue (State f Scontinue k e le m)
| osm_return_none: forall k',
call_cont k' = call_cont k ->
outcome_state_match e le m f k
(Out_return None) (State f (Sreturn None) k' e le m)
| osm_return_some: forall a v k',
call_cont k' = call_cont k ->
eval_expr ge e le m a v ->
outcome_state_match e le m f k
(Out_return (Some (v,typeof a))) (State f (Sreturn (Some a)) k' e le m).

Lemma exec_stmt_steps:
forall e le m s t le' m' out,
exec_stmt ge e le m s t le' m' out ->
forall f k, exists S,
star step1 ge (State f s k e le m) t S
/\ outcome_state_match e le' m' f k out S.