Question: Let D=(Q,,,q0,) be a DFA. Construct a new DFA D from D such that L(D)={w:wL(D)forsome}, i.e., L(D) contains every string w that is a prefix

Let D=(Q,,,q0,) be a DFA. Construct a new DFA D from D such that L(D)={w:wL(D)forsome}, i.e., L(D) contains every string w that is a prefix of some string in L(D). (Hint: Try to modify the set of accept states in D.) Prove the correctness of your construction

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