July2016 cs Q23
0. The regular expression for the complement of the language L = {anbm|n ≥ 4, m ≤ 3} is:
- Option : D
- Explanation : The complement of the language L = {anbm|n ≥ 4, m ≤ 3} is L` = {anbm|n < 4} U {anbm|m > 3}: L` = Universal set - L. L` = Universal set - {anbm|n ≥ 4, m ≤ 3} = (λ + a + aa + aaa)b* + a*bbbbb* + (a + b)* ba(a + b)* Option (D) is giving freedom on constraints on number of a's and number of b's. So, option (D) is correct.
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