Question: undefined Problem 19. Consider the four-symbol alphabet = { [O] [9] [0] : [1] Define the functions top, bottom : * {0,1}* By the recursion

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Problem 19. Consider the four-symbol alphabet = { [O] [9] [0] : [1] Define the functions top, bottom : * {0,1}* By the recursion top() = bottom(1) = 1 for all x * and a, b e {0,1}, top(x [n]) = top(x)a, [i]) = bottom(x)b. bottom(x Design a DFA M such that L(M) = {x * |bnum(top(x))

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