Question: Exercise 2.2.8: Let A be a DFA and a a particular input symbol of A, such that for all states q of A we have

Exercise 2.2.8: Let A be a DFA and a a particular

Exercise 2.2.8: Let A be a DFA and a a particular input symbol of A, such that for all states q of A we have (q,a) = 4. a) Show by induction on n that for all n > 0, 8(q, a") = q, where a" is the string consisting of n a's. b) Show that either {a}" CL(A) or {a}* n L(A) = 0

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