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Theory of Computation · Regular and Context-Free Languages
Official IIT answer key · IIT Delhi · Audited Aug 2026
GATE CSE 2020 Q8 · MCQ · 1 mark
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Topic notes
GATE consistently tests Regular and Context-Free Languages by evaluating closure properties, set-theoretic algebraic manipulations, and language classification (Regular vs. DCFL vs. CFL vs. Non-CFL). Questions heavily emphasize edge-case reasoning with universal ( *) and empty ( ) languages, as well as structural recognizability via finite automata versus deterministic/non-deterministic pushdown automata. Recent exams (2021–2026) strongly favor Multi-Select Questions (MSQ) testing multiple interdependent closure and membership assertions simultaneously.
Full Regular and Context-Free Languages guide →Consider the following statements. I. If L1 L2 is regular, then both L1 and L2 must be regular. II. The class of regular languages is closed under infinite union. Which of the above statements is/are TRUE?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.