Question: If A is a finite set, define a set S of strings over A as follows: I. Base: Every character in A is a string

If A is a finite set, define a set S of strings over
A as follows:
I. Base: Every character in A is a string in S.
II. Recursion: If s is any string in S, then for
every character c in A, csc is a string in S.
III. Restriction: Nothing is in S except strings
obtained from the base and the recursion.

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