Primitive Recursive Set is URM Computable
Jump to navigation
Jump to search
Theorem
Every primitive recursive set is URM computable.
Proof
This follows immediately from:
- a set is primitive recursive if its characteristic function is primitive recursive
- the fact that every Primitive Recursive Function is URM Computable.
$\blacksquare$
Note
This does not mean that every URM computable set is necessarily primitive recursive.