ack(0, N, V) :- !, V is N + 1. ack(M, 0, V) :- !, M2 is M - 1, ack(M2, 1, V). ack(M, N, V) :- M2 is M - 1, N2 is N - 1, ack(M, N2, V2), ack(M2, V2, V).