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Problem 21. Consider the four-symbol alphabet 0101 Define the functions top, bottom : * {0,1}* by the recursion top(A)-bottom(A)A . for all r . and

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Problem 21. Consider the four-symbol alphabet 0101 Define the functions top, bottom : * {0,1}* by the recursion top(A)-bottom(A)A . for all r . and a,be(0,1). 1:1) = bottorn(r)b. bottom( -bottom(r)b Design a DFA M such that L(M)-rEbnum(top())

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