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GATE | GATE CS 2020 | Question 36

Which of the following languages are undecidable? Note that ⟨M⟩ indicates encoding of the Turing machine M.
  • L1 = { ⟨M⟩ ∣ L(M)=∅ }
  • L2 = { ⟨M,w,q⟩ ∣ M on input w reaches state q in exactly 100 steps }
  • L3 = { ⟨M⟩ ∣ L(M) is not recursive }
  • L4 = { ⟨M⟩ ∣ L(M) contains at least 21 members }

(A)

L1, L3, and L4 only

(B)

L1 and L3 only

(C)

L2 and L3 only

(D)

L2, L3, and L4 only

Answer

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