Define a set S recursively as follows: I. BASE: 1 S, 3 S, 5 S, 7 S, 9 S II. RECURSION

Chapter 5, Problem 9

(choose chapter or problem)

Define a set S recursively as follows: I. BASE: 1 S, 3 S, 5 S, 7 S, 9 S II. RECURSION: If s S and t S then a. st S b. 2s S c. 4s S d. 6s S e. 8s S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S represents an odd integer.

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