Define a set S recursively as follows:I. BASE: 1 S, 3 S, 5
Chapter 5, Problem 9E(choose chapter or problem)
Define a set S recursively as follows:I. BASE: 1 ? S, 3 ? S, 5 ? S, 7 ? S, 9 ? SII. RECURSION: If s ? S and t ? S thena. st ? Sb. 2s ? Sc. 4s ? Sd. 6s ? Se. 8s ? SIII. 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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