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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.
  • a)
    1 and 4 only
  • b)
    1 and 3 only
  • c)
    2 only
  • d)
    3 only
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following statements is/are FALSE?1. For every non-determ...
A recognizer of a language is a machine that recognizes that language. A decider of a language is a machine that decides that language. Both types of machine halt in the Accept state on strings that are in the language A Decider also halts if the string is not in the language A Recogizer MAY or MAY NOT halt on strings that are not in the language On all input: A Decider MUST halt (in Accept or Reject state) A Recogizer MAY or MAY NOT halt on some strings (Q: Which ones?) A language is Turing-decidable (or decidable) if some Turing machine decides it. Aka Recursive Language. A language is Turing-recognizable if some Turing machine recognizes it. Aka Recursively Enumerable Language.
Recursive (Turing Decidable) languages are closed under following Kleene star, concatenation, union, intersection, complement and set difference. Recursively enumerable language are closed under Kleene star, concatenation, union, intersection. They are NOT closed under complement or set difference.
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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.a)1 and 4 onlyb)1 and 3 onlyc)2 onlyd)3 onlyCorrect answer is option 'C'. Can you explain this answer?
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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.a)1 and 4 onlyb)1 and 3 onlyc)2 onlyd)3 onlyCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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.a)1 and 4 onlyb)1 and 3 onlyc)2 onlyd)3 onlyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a)1 and 4 onlyb)1 and 3 onlyc)2 onlyd)3 onlyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 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.a)1 and 4 onlyb)1 and 3 onlyc)2 onlyd)3 onlyCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
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