Let $\displaystyle g$ and $\displaystyle h$ be representable functions, and assume that

$\displaystyle f(0, b) = g(b),$

$\displaystyle f(a+1, b) = h ( f(a, b), a, b).$

Show that $\displaystyle f$ is representable.

The necessary definitions are found in

http://cs.nyu.edu/courses/fall03/G22...c/lec11_h4.pdf (slides 16-20)

Any hint to start this problem?