Question:
Let P be a regular language and Q be a context-free language such that Q ⊆ P. Then which of the following is always regular?
Let P be a regular language and Q be a context-free language such that Q ⊆ P. Then which of the following is always regular?
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Regular languages are closed under intersection with other languages, including context-free languages.
Updated On: Jan 17, 2026
- P ∩ Q
- P − Q
- Σ* − P
- Σ* − Q
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The Correct Option is A
Solution and Explanation
The intersection of a regular language P with any language (including a context-free language Q) is always regular. This is because regular languages are closed under intersection with other languages, including context-free languages. Therefore, P ∩ Q will always be a regular language.
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