Recent questions tagged closure-property

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Let $\Sigma = \{0, 1\}$. Let $A, \: B$ be arbitrary subsets of $\Sigma^\ast$ ... If yes, give a proof. If not, provide suitable $A$ and $B$ for which this equation fails.
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For a regular expression $e$, let $L(e)$ be the language generated by $e$. If $e$ is an expression that has no Kleene star $\ast$ occurring in it, ... is finiteComplement of $L(e)$ is emptyBoth $L(e)$ and its complement are infinite
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Which language class has the following properties?$\quad$ It is closed under union and intersection but not complement.Regular ... -free languageRecursive languageRecursively enumerable languageLanguages that are not recursively enumerable
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Consider the following statements:S1: Complement of CSL is CSL.S2: Complement of every turing recognizable language is turing recognizable.S3: Turing ... 0My question is what is the difference between turing decidable and recognizable
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$L_{1}=\{a^nb^mc^md^n | m,n \geq 1\} \\ L_{2}=\{0^p1^q\ |p > q\geq 0\} \cup \{0^p1^q\ |q > p\geq 0\} \\ L_{3} = L_1 \cup L_2 \\ L_{4} = L_1L_2 $ ...
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What is difference between Kleene closure and infinite union in context of regular languages?
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How to prove this..CFL is closed under intersection with regular languages.
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Context-free languages and regular languages are both closed under the operation (s) of :UnionIntersectionConcatenationComplementation
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Σ ={a,b}L={W| na(W)*nb(W) ≥ 5}Is the above language is REGULAR ??
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$L = \left \{ a^nb^n \ ; n\geq 0 \ , n \neq 20 \right \}$ is(a) a DCFL(b) a recursive set but not CFL(c) a CFL but not DCFL(d) not a CFL
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The family of context sensitive languages is _____ under union and ____ under reversalclosed, not closednot closed, not closedclosed, closednot closed, closed
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What exactly Homomorphism of a language is? What is the need of it? .. And how is it closed under regular languages?
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Which is not the correct statement?The class of regular sets is closed under homomorphismsThe class of regular sets is not closed under inverse ... is closed under quotientThe class of regular sets is closed under substitution
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Consider the following statements:Recursive languages are closed under complementationRecursively enumerable languages are closed under unionRecursively enumerable languages are closed under ... are true?I onlyI and III and IIIII and III
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S1: There exists infinite sets A, B, C such that A ∩ (B ∪ C) is finite.S2: There exists two irrational numbers x and y such that (x+y) is rational.Which ... are correct(D) S1 and S2 both are not correct(E) If you think any other options.
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https://gateoverflow.in/?qa=blob&qa_blobid=8929616163903734815
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Consider the following types of languages: $L_{1}$: Regular, $L_{2}$: Context-free, $L_{3}$: Recursive, $L_{4}$: Recursively enumerable. Which of the following is/are ... context-free.I only.I and III only.I and IV only.I, II and III only.
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Which of the following is false ?a. Union of two recursive languages is recursive b. Intersection of regular and recursive language is recursivec. Union ... each option..and also describe intersection of regular and recursive is recursive..
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$L1$ is a Context free language (CFL), $L2$ is a Deterministic Context free language (DCFL)and , $L = L1 \cap\overline{L2}$then $L$ isa) Need not be CFLb) not CFLc)DCFL
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Which the following is FALSE?Complement of a recursive language is recursive.A language recognized by a non-deterministic Turing machine can also be recognized by ... a non-recursive language can never be recognized by any Turing machine.
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Which of the following statements is FALSE?The intersection of a context free language with a regular language is context free.The intersection of two regular ... of a regular language and the complement of a regular language is regular.
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True or False: DCFL is closed under set difference
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the complement of every context-free language is recursive ? or recursive enumerable? or both?
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Let $L$ be a context-free language and $M$ a regular language. Then the language $L ∩ M$ isalways regularnever regularalways a deterministic context-free languagealways a context-free language
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Which of the following statements is/are FALSE?For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine.Turing recognizable languages are closed under ... $3$ only $2$ only $3$ only
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Which of the following is true?The complement of a recursive language is recursiveThe complement of a recursively enumerable language is recursively ... recursively enumerableThe complement of a context-free language is context-free
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Which of the following three statements are true? Prove your answer.The union of two recursive languages is recursive.The language $\{O^n \mid n\text{ is a prime} \}$ is not regular.Regular languages are closed under infinite union.