Answer: Give a recursive definition of each of these sets
Chapter 4, Problem 4.3.29(choose chapter or problem)
Give a recursive definition of each of these sets of ordered pairs of positive integers. Use structural induction to prove that the recursive definition you found is correct. [Hint: To find a recursive definition, plot the points in the set in the plane and look for patterns.] a) S = {(a, b) la E Z+ , bE Z+, and a + b is even} b) S = {(a, b)la E Z+, b E Z+, and a orbis odd} c) S = {(a, b) la E Z+ ,b E Z+,a +bis odd, and 3 I b)
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