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5. For a string w = QjQ2a3242526d7..., define third(w) = 43260g .... Then, for a language L, define third(L) = {third(w): We L}. Show that
5. For a string w = QjQ2a3242526d7..., define third(w) = 43260g .... Then, for a language L, define third(L) = {third(w): We L}. Show that if L is regular, then third(L) is also regular. Hint: Construct an e-NFA from the DFA for L
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