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If L1, is regular and L2 is CFL over ∑* which of the following statement is incorrect?
  • a)
     L1 ∪ L2 is CFL
  • b)
    L1 ∩ L2 is regular
  • c)
     L1* is regular
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If L1, is regular and L2 is CFL over ∑* which of the following sta...
Since L1 and L2 are regular and context free languages respectively CFL are closed under regular ∪, ∩, therefore
(a) L1 ∪ L2 is CFL and therefore regular too.
(b) L1 ∩ L2 is not regular
(c) L1 * is regular
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Most Upvoted Answer
If L1, is regular and L2 is CFL over ∑* which of the following sta...
The same alphabet, then we cannot determine if the intersection of L1 and L2 is regular or CFL without further information. The regular languages are a subset of the context-free languages, so it is possible for L1 to be regular and L2 to be CFL, but their intersection could still be regular or CFL depending on the specific languages involved.
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