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Problem 19. Consider the four-symbol alphabet = {[010-0-0 Define the functions top, bottom:* + {0,1}* By the recursion .top(X) = bottom() = for all 1

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Problem 19. Consider the four-symbol alphabet = {[010-0-0 Define the functions top, bottom:* + {0,1}* By the recursion .top(X) = bottom() = for all 1 * and ab {0,1}, top(+ []) = top(z)a, bottom: =bottom(I)b. Design a DFA M such that L(M)= {1 *|bnum(top(z))

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