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GATE CSE & IT · Theory of Computation - Closure Properties of Languages · 2009-2025
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All concepts →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...
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...
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...
Which one of the following regular expressions is equivalent to the language accepted by the DFA given below?
Identify the language generated by the following grammar, where S is the start variable. S → XY X → aX | a Y → aYb | ε
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...
Which of the following languages is/are regular? $${L_1}:\left\{ {wx{w^R}|w,x\, \in \left\{ {a,b} \right\}{}^ * } \right.$$ and $$\left. {\left| w \right|,\left| x \right| > 0} \ri...
Which one of the following languages over the alphabet $$\left\{ {0,\left. 1 \right)} \right.$$ is described by the regular expression $${\left( {0 + 1} \right)^ * }0{\left( {0 + 1...