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GATE | GATE CS 2021 | Set 1 | Question 49

For a Turing machine M, ⟨M⟩ denotes an encoding of M. Consider the following two languages.
  • L1 = { ⟨M⟩ ∣ M takes more than 2021 steps on all inputs }
  • L2 = { ⟨M⟩ ∣ M takes more than 2021 steps on some input }
    • Which one of the following options is correct?


Both L1 and L2 are decidable


L1 is decidable and L2 is undecidable


L1 is undecidable and L2 is decidable


Both L1 and L2 are undecidable


Please comment below if you find anything wrong in the above post
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