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Which of the following statements are true?
(i) The complement of a language is always regular.
(ii) The intersection of regular languages is regular.
(iii) The complement of a regular language is regular.
  • a)
    (i) and (ii) only
  • b)
    (ii) and (iii) only
  • c)
    (i) and (iii) only
  • d)
    All of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following statements are true?(i) The complement of a lan...
According to the closure properties regular language is closed under union, intersection, Kleen closure, concatenation, complementation. But the complementation of any language need not to be always regular.
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Most Upvoted Answer
Which of the following statements are true?(i) The complement of a lan...
True statements:

(ii) The intersection of regular languages is regular.
This is true because regular languages are closed under intersection. That is, if L1 and L2 are regular languages, then L1 ∩ L2 is also regular.

(iii) The complement of a regular language is regular.
This is true because regular languages are closed under complement. That is, if L is a regular language, then its complement, denoted by L', is also regular.

False statement:

(i) The complement of a language is always regular.
This is false. While the complement of a regular language is always regular, the complement of a context-free language, for example, may not be context-free. Therefore, the complement of a language is not always regular.
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Which of the following statements are true?(i) The complement of a language is always regular.(ii) The intersection of regular languages is regular.(iii) The complement of a regular language is regular.a)(i) and (ii) onlyb)(ii) and (iii) onlyc)(i) and (iii) onlyd)All of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
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