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Consider the set S 1 constructed recursively. The recursive step takes a string w from S 1 and concatenates the same symbol to the beginning
Consider the set constructed recursively. The recursive step takes a string from and
concatenates the same symbol to the beginning and end of
i Basis: ainS and binS
ii Recursive step: if winS then awa inS and bwbinS
iii Closure: consists of exactly the elements that can be obtained by starting
iv with the basis elements of S and applying the recursive step finitely many times to
construct new elements of
Use induction to prove that every string in is a palindrome. A palindrome is a string that reads
the same from left to right and from right to left.
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