Ackermanns function1 , mapping N2 to N, is a recursive function that grows very rapidly

Chapter 5, Problem 42

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Ackermanns function1 , mapping N2 to N, is a recursive function that grows very rapidly. It is given by A(0, n) = n + 1 for all n [ N A(m, 0) = A(m 1, 1) for all m [ N, m > 0 A(m, n) = A(m 1, A(m, n 1)) for all m [ N, n [ N, m > 0, n > 0 a. Compute (show all steps) the value of A(1, 1). b. Compute (show all steps) the value of A(2, 1). c. The value of A(4, 0) = 13 = 222 3, still a small value. But A(4,1) = 2222 3. Compute this value. d. Write a likely expression for the value of A(4, 2)

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