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Which of the following statement(s) is/are FALSE? (i) There exists a recursively enumerable language whose complement is not recursively enumerable. (ii) If a language L is recursive, then its complement is NOT recursive.
Which of the following statements is/are FALSE? 1. For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine. 2. Turing recognizable languages are closed under union and complementation. 3. Turing decidable languages are closed under intersection and complementation. 4. Turing recognizable languages are closed under union and intersection.
For any two languages L1 and L2 such that L1 is context-free and L2 is recursively enumerable but not recursive, which of the following is/are necessarily true? I. L̅1 (complement of L1) is recursive II. L̅2 (complement of L2) is recursive III. L̅1 is context-free IV. L̅1 ∪ L2 is recursively enumerable
Choose the correct option: Statement: If L1 and L2 are recursively enumerable languages over S, then the following is/are recursively enumerable.
Consider the following statements. I. The complement of every Turing decidable language is Turing decidable II. There exists some language which is in NP but is not Turing decidable III. If L is a language in NP, L is Turing decidable Which of the above statements is/are true?
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 M. Which of the following decision problems are undecidable? I. Given a regular expression R and a string w, is w ∈ L(R)? II. Given a context-free grammar G, is L(G) = ϕ? III. Given a context-free grammar G, is L(G) = ∑* for some alphabet ∑? IV. Given a Turing machine M and a string w, is w ∈ L(M)?  
Assume statements S1 and S2 defined as: S1: L2-L1 is recursive enumerable where L1 and L2 are recursive and recursive enumerable respectively. S2: The set of all Turing machines is countable. Which of the following is true?
Let L1 be regular language, L2 be a deterministic context free language and L3 a recursively enumerable language, but not recursive. Which one of the following statements is false?
Let X be a recursive language and Y be a recursively enumerable but not recursive language. Let W and Z be two languages such that Y̅ reduces to W, and Z reduces to X̅ (reduction means the standard many-one reduction). Which one of the following statements is TRUE?
Read the passage carefully and choose thebest answer to each question out of the four alternativesand click the button corresponding to it. To know language is to be able to speak it; even a childwho does not yet attend school can speak his or herlanguage. In order to speak a language it is important tolisten to it and to read a few pages in it everyday. A childpicks up language and learns to talk just as (s)he learnsto walk. Walking and talking comes naturally to a child asit grows. In our country, a child may grow up speakingmore than one language, if these languages are spoken inthe home and in the neighbourhood. we call this multilingualism. A child speaks a language or languagesmuch before (s)he starts going to school. To know alanguage then is first of all to be able to speak it as easilyand naturally as a tree year old child does. Later on thechild will learn to read and write in that language. In orderto read and write in a language, one has to speak it. But itis possible to speak a language but not able to read orwrite in it. A baby does not speak until it is nine monthsold but it understands a few words at six months of age.It has been listening ever since it was born, and even alittle before that. So the first strategy in speaking alanguage is to listen. It is necessary for one to __________ the language before(s)he writes in that language.