Let L1 be a recursive language. Let L2 and L3 be languages that are…

GATE · 2010 · CS · Computer Science & IT

Let L1 be a recursive language. Let L2 and L3 be languages that are recursively enumerable but not recursive. Which of the following statements is not necessarily true?

  1. A.

    L2 – L1 is recursively enumerable

  2. B.

    L1 – L3 is recursively enumerable

  3. C.

    L₂ ∩ L₃ is recursively enumerable

  4. D.

    L₂ ∪ L₃ is recursively enumerable

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