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4. 15pt] Consider the following language L {a,b)', defined recursively as follows. ii. If w E L, then aaub E L and baa E L
4. 15pt] Consider the following language L {a,b)', defined recursively as follows. ii. If w E L, then aaub E L and baa E L iii. If w,w2 E L, then u2 E L Use induction to prove that for any string w that belongs to L, na(w) = 2n6(w), where in general ne(w) is the number of occurrences of alphabet character c in
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