Answer: Let S be the subset of the set of ordered pairs of
Chapter 4, Problem 4.3.26(choose chapter or problem)
Let S be the subset of the set of ordered pairs of integers defined recursively by Basis step: (0, 0) E S. Recursive step: If(a, b) E S, then (a + 2, b + 3) E S and (a + 3,b+2)ES. a) List the elements of S produced by the first five applications of the recursive definition. b) Use strong induction on the number of applications of the recursive step of the definition to show that 51 a + b when (a , b) E S. c) Use structural induction to show that 51 a + b when (a, b) E S.
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