Which of the following regular-expression identities are true?

GATE · 1992 · CS · Question 2 subpartsModified — slightly modified from the official paper; see the solution

Which of the following regular-expression identities are true?

  1. A.

    (r*)* = r*

  2. B.

    (r*s*) = (r+s)*

  3. C.

    (r+s)* = r*+s*

  4. D.

    r*s* = r*+s*

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