Question: Problem 19. Consider the four-symbol alphabet ={ ={[0] 0 [0) (1) Define the functions top, bottom : * +{0,1}* By the recursion top() = bottom(a)

Problem 19. Consider the four-symbol alphabet ={ ={[0] 0 [0) (1)

Problem 19. Consider the four-symbol alphabet ={ ={[0] 0 [0) (1) Define the functions top, bottom : * +{0,1}* By the recursion top() = bottom(a) = for all x S* and a, b {0,1}, top(2 [%]) = top(z)a, bottom(+ [%]) = bottom(z)b. Design a DFA M such that L(M) = {x * |bnum(top(x))

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