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10. (8%) Design a (deterministic or nondeterministic) finite automaton A such that L(A) consists of all words over the alphabet {a,b} that are at least

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10. (8%) Design a (deterministic or nondeterministic) finite automaton A such that L(A) consists of all words over the alphabet {a,b} that are at least 2 letters long, do not have the subword bb, and have the last letter the same as the first. Find a regular expression representing the language L(A)

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