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GATE CSE & IT · Theory of Computation - Closure Properties of Languages · 2009-2025

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2025 Q25

Let G1, G2 be Context Free Grammars (CFGs) and R be a regular expression. For a grammar G, let L(G) denote the language generated by G. Which ONE among the following questions is d...

mediumanswer key
2025 Q30

Consider the two lists List I and List II given below: List I (i) Context free languages (ii) Recursive languages (iii) Regular languages List II (a) Closed under union (b) Not clo...

mediumanswer key
2025 Q44

Consider the following two languages over the alphabet {a, b}: L₁ = { αβα |α ∈ {a,b}+ AND β∈ {a,b}+ } L₂ = {αβα|α ∈ {a}+ AND β∈ {a,b}+ } Which ONE of the following statements is CO...

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2024 Q22

Which one of the following regular expressions is equivalent to the language accepted by the DFA given below?

mediumanswer key
2017 Q16

Identify the language generated by the following grammar, where S is the start variable. S → XY X → aX | a Y → aYb | ε

mediumanswer key
2017 Q41

Let L(R) be the language represented by regular expression R. Let L(G) be the language generated by a context free grammar G. Let L(M) be the language accepted by a Turing machine...

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2015 PYQ

Which of the following languages is/are regular? $${L_1}:\left\{ {wx{w^R}|w,x\, \in \left\{ {a,b} \right\}{}^ * } \right.$$ and $$\left. {\left| w \right|,\left| x \right| > 0} \ri...

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2009 PYQ

Which one of the following languages over the alphabet $$\left\{ {0,\left. 1 \right)} \right.$$ is described by the regular expression $${\left( {0 + 1} \right)^ * }0{\left( {0 + 1...

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