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computer theory. PLEASE WRITE IT NEATLY OR TYPE IT * ! Exercise 2.2.9 : Let A-(Q, , ,go, {91}) be a DFA, and suppose that

computer theory.

PLEASE WRITE IT NEATLY OR TYPE IT

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* ! Exercise 2.2.9 : Let A-(Q, , ,go, {91}) be a DFA, and suppose that for all a in we have (go, a)-6(91, a). a) Show that for all w * we have (go, w) 891, w). b) Show that if z is a nonempty string in L(A), then for all k0, (ie. written k times) is also in L(A)

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