The class of CFG is not closed under ______.
2025
The class of CFG is not closed under ______.
- A.
Concatenation
- B.
Intersection
- C.
Union
- D.
Repeated Concatenation
Attempted by 23 students.
Show answer & explanation
Correct answer: B
Context-Free Grammars (CFGs) have specific closure properties that define which operations preserve the context-free nature of the language.
Closed Operations: - Union: The union of two context-free languages is context-free. - Concatenation: The concatenation of two context-free languages is context-free. - Kleene Star: The Kleene star of a context-free language is context-free.
Non-Closed Operations: - Intersection: The intersection of two context-free languages is not necessarily context-free. - Complement: The complement of a context-free language is not necessarily context-free.
Therefore, the class of CFGs is not closed under intersection.