Ackermann real numbers python

Question

How can one compute the Ackermann function over nonnegative real numbers in Python per this question on Mathoverflow?

Here is my code for integers.

def naive_ackermann(m, n):
    global calls
    calls += 1
    if m == 0:
        return n + 1
    elif n == 0:
        return naive_ackermann(m - 1, 1)
    else:
        return naive_ackermann(m - 1, naive_ackermann(m, n - 1))

I tried using float and allowing it to go in between 0 and 1 but it was not continuous.