Question: ( b ) Consider a set of strings defined recursively as follows: Base case: ainS Recursive rules: if xinS then, xbinS ( Rule 1 )

(b) Consider a set of strings defined recursively as follows:
Base case: ainS
Recursive rules: if xinS then,
xbinS (Rule 1)
bxinS (Rule 2)
Prove that every string in S contains exactly one a.
 (b) Consider a set of strings defined recursively as follows: Base

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