Let x be a string, and let M be a Finite Automaton with just one Final State...
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Let x be a string, and let M be a Finite Automaton with just one Final State that accepts the strings x and xx.
(a) Prove, by induction on n, that M accepts the string xn for every n ≥ 1.
(b) Would the same statement hold if M is a Nondeterministic Finite Automaton, also with just one Final State, instead? Why or why not?
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