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GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 57

Which of the following problems is decidable?
  • I. Given a TM M and a string y, does M ever write the symbol # on its tape on input y?
  • II. Given a context free grammar G over {a, b}, does G generate all the strings of the language {a, b}*of length ≤ 381?
  • III. Given a TM M, are there infinitely many TMs M′accepting the same recursive enumerable set A = L(M)?
  • IV. Given a TM M and a string y, does M accept y?

(A)

I and II

(B)

II and III

(C)

I, II and III

(D)

II and IV

Answer

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