Theory of Computation - Turing Machines

16. The statement, “A TM can’t solve halting problem” is

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17. If there exists a TM which when applied to any problem in the class, terminates, if correct answer is yes and may or may not terminate otherwise is called

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18. Given a Turing machine T and a step-counting function f, is the language accepted by T in Time(f) ? This decision problem is

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19. A total recursive function is a

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20. The running time T (n), where 'n' is input size of a recursive algorithm, is given as
                                                      T (n) = c + T (n - 1), if n > 1
                                                   = d, if n ≤ 1
The order of the algorithm is

  • Option : B
  • Explanation : Recuesivelt applying the relation, we get
    T( n + 1 ) = C ( n - 1 ) + T (1)
                     = C ( n - 1 ) + d
    Hence order is n.
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