Another way to show that a given element is in a recursively defined set is to use _____

Chapter 5, Problem 5

(choose chapter or problem)

Define a set S recursively as follows:
I. BASE: 1 ? S
II. RECURSION: If s ? S, then
a. 0s ? S b. 1s ? 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 ends in a 1.

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