3(3%) Name three operations that regular languages are closed under 4. (8%) Gi e

Question

3(3%) Name three operations that regular languages are closed under 4. (8%) Gi en the language L-tab'iz2 1 1, use the set notation similar to the one used in the definition of L to define the following languages (a)L LR (Note: Lk is the reverse of L) L. (b) L2-L2 L. 2. 5, (5%) Consider the following Context Free Grammar (CFG) Give a simple description of L(G), the language generated by G, in English. 20) and answer 6. (8%) Cive an English description for the language L s(a"b if the word x- abab is in the language. 7. (8%) What language is generated by the following CFG, with start symbols 8,8%) Give the state diagram of a DFA that recognizes -(w e fa, b* : w contains abab as a substring

Explanation / Answer

Q-3-

Solution-Three basic operations under which regular language are closed are-

• Union -If L and M are regular languages, so is L u M.

• Intersection- If L and M are regular languages, so is L n M.

• Concatenation- If L and M are regular languages, so is L .M.

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