Let m s i f s0f be a deterministic finite-state automaton


Question: Let M = (S, I, f, s0,F) be a deterministic finite-state automaton. Show that the language recognized by M, L(M), is infinite if and only if there is a word x recognized by M with l(x) ≥ |S|.

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Theory of Computation: Let m s i f s0f be a deterministic finite-state automaton
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