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Let L1 and L2 be any context-free language and R be any regular language. Then, which of the following is correct ?
I. L1 ∪ L2 is context-free.
II. L1' is context-free.
III. L1-R is context-free.
IV. L1 ∩ L2
  • a)
    I, II and IV only
  • b)
    I and III only
  • c)
    II and IV only
  • d)
    I only
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let L1 and L2 be any context-free language and R be any regular langua...
Context free language are closed under union and difference with regular language.
It is not closed under complementation and intersection . Complement of CFL is recursive language .
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Let L1 and L2 be any context-free language and R be any regular language. Then, which of the following is correct ?I. L1 ∪ L2 is context-free.II. L1' is context-free.III. L1-R is context-free.IV. L1 ∩ L2a)I, II and IV onlyb)I and III onlyc)II and IV onlyd)I onlyCorrect answer is option 'B'. Can you explain this answer?
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Let L1 and L2 be any context-free language and R be any regular language. Then, which of the following is correct ?I. L1 ∪ L2 is context-free.II. L1' is context-free.III. L1-R is context-free.IV. L1 ∩ L2a)I, II and IV onlyb)I and III onlyc)II and IV onlyd)I onlyCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let L1 and L2 be any context-free language and R be any regular language. Then, which of the following is correct ?I. L1 ∪ L2 is context-free.II. L1' is context-free.III. L1-R is context-free.IV. L1 ∩ L2a)I, II and IV onlyb)I and III onlyc)II and IV onlyd)I onlyCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let L1 and L2 be any context-free language and R be any regular language. Then, which of the following is correct ?I. L1 ∪ L2 is context-free.II. L1' is context-free.III. L1-R is context-free.IV. L1 ∩ L2a)I, II and IV onlyb)I and III onlyc)II and IV onlyd)I onlyCorrect answer is option 'B'. Can you explain this answer?.
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