On 2003-05-12 at 21:53+0300 Eray Ozkural wrote:
I've seen many constructions on primitive recursive functions but what I don' t understand, not having the required expertise on recursive function theory, is whether the set of primitive recursive functions correspond to recursive sets in theory of computation.
They don't, because
[...] Ackermann's function was a recursive function that was not primitive.
If I remember correctly, that's the chief reason Ackermann
came up with the function. Have a look at