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GATE CSE 2023 Q24: Closure of language classes under intersection

Question

Which of the following statements is/are CORRECT?

Try it: multiple select: one or more correct options

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Select all correct options. No negative marking, no partial marks.
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Answer: A, C, D (official GATE 2023 final answer key)

Concept used: Closure properties under intersection for the Chomsky hierarchy.

First step: Recall the classic counterexample {anbncm}∩{ambncn}\{a^nb^nc^m\} \cap \{a^mb^nc^n\} for context-free languages.

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Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key