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3. Assume the alphabet { = {a,b). Give the set all strings over { of length less than or equal to 2 including the null

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3. Assume the alphabet { = {a,b). Give the set all strings over { of length less than or equal to 2 including the null string. For each of the following languages, which of the above strings are in the language defined by the following regular expressions. (Show your work clearly). (v) (vi) (vii) (viii) (a+b)*a(a+b)*b(a+b)*a(a+b)* aba + bab (a + a)b (a + ba + bb)(a+b)*

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