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MMLU / Let A and B be two sets of words (strings) from Σ*, for some alphabet of symbols…

Problem

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question

Let A and B be two sets of words (strings) from Σ*, for some alphabet of symbols Σ. Suppose that B is a subset of A. Which of the following statements must always be true of A and B ?
I. If A is finite, then B is finite.
II. If A is regular, then B is regular.
III. If A is context-free, then B is context-free.

choices

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

subject

college_computer_science

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