End NOSTACK.
(** ** Construction 1: allocating the stack frame at function entry *)
Ltac splitall := repeat (match goal with |- _ /\ _ => split end).

Theorem allocate_stack:
forall m sz m' sp bc ge rm am,
Mem.alloc m 0 sz = (m', sp) ->
genv_match bc ge ->
romatch bc m rm ->
mmatch bc m am ->
bc_nostack bc ->
exists bc',
bc_incr bc bc'
/\ bc' sp = BCstack
/\ genv_match bc' ge
/\ romatch bc' m' rm
/\ mmatch bc' m' mfunction_entry
/\ (forall b, Plt b sp -> bc' b = bc b)
/\ (forall v x, vmatch bc v x -> vmatch bc' v (Ifptr Nonstack)).