Question: Ackermanns function, named after the German mathematician Wilhelm Ackermann, is used in the theory of recursive functions. There are several variants of this function. Their

Ackermann’s function, named after the German mathematician Wilhelm Ackermann, is used in the theory of recursive functions. There are several variants of this function. Their common properties are that the function takes two parameters (x and y) and grows very fast (much faster than polynomials or exponentials). Here is one variant:

1. If x = 0, then Ackermann(x, y) = 2y.
2. If x >= 1 and y = 0, then Ackermann(x, y) = 0.
3. If x >= 1 and y = 1, then Ackermann(x, y) = 2.
4. If x >= 1 and y >= 2, then Ackermann(x, y) =
Ackermann(x–1, Ackermann(x, y–1)).

Implement this variant of Ackermann’s function with a recursive method.

Step by Step Solution

3.34 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The Ackermann function is a recursive function which means that it calls itself in order to calculat... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Data Structures and Other Objects Using Java Questions!