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MMLU / Which of the following problems is (are) decidable?

Problem

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question

Which of the following problems is (are) decidable?
I. Given a (finite) string w, is w a prefix of the decimal expansion of π?
II. Given a program and an input, is the program’s output the decimal expansion of π?
III. Given a program that takes as input a prefix of the decimal expansion of π, is the program’s output always the same for every prefix?

choices

  1. I only
  2. II only
  3. III only
  4. I and II only

subject

college_computer_science

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Source and history

Official source

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