(a) Write a procedure called (add x y) that adds two numbers in a recursive manner. Specifically, note that x + y = (x + 1) + (y - 1) and x + 0 = x.

(b) Using the substitution model, and applicative order evaluation, show how (add 4 3) works.

(c) Using (a), write a procedure called (add3 x y z) that adds 3 numbers together.

(d) Using the substitution model, and applicative order evaluation, show how (add3 3 2 1) works.

 

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