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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?
Most Upvoted Answer
Which of the following statements is/are false? For every non-determin...
Given,
Statement (1): "For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine".
It is a true statement. A non-deterministic Turing machine can be simulated by a deterministic Turing machine with exponential time.
Statement (2): "Turing recognizable languages are closed under union and complementation".
Turing recognizable languages are "not" closed under complementation. For any Turing recognizable language, the turing machine "T' recognizing 'L', may not terminate on inputs x ∉ L.
So, this is false.
Statement (3): "Turing decidable languages are closed under intersection and complementation".
Turing decidable languages are closed under union and complementation. It is easy to construct a turning machine to decide L1 ∪ L2, L1 if L1, L2 are Turing decidable.
So, this is a true statement.
Statement (4): "Turing recognizable languages are closed under union and intersection".
It is a true statement.
Hence, the correct option is (C).
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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 union and complementation. Turing decidable languages are closed under intersection and complementation. 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? For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine. Turing recognizable languages are closed under union and complementation. Turing decidable languages are closed under intersection and complementation. 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? For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine. Turing recognizable languages are closed under union and complementation. Turing decidable languages are closed under intersection and complementation. 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? For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine. Turing recognizable languages are closed under union and complementation. Turing decidable languages are closed under intersection and complementation. 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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