Let L1 be a recursive language, and let L2 be a recursively enumerable but not…

GATE · 2005 · CS

Let L1 be a recursive language, and let L2 be a recursively enumerable but not a recursive language. Which one of the following is TRUE?

L1' --> Complement of L1
L2' --> Complement of L2 

  1. A.

    L1' is recursive and L2' is recursively enumer­able

  2. B.

    L1' is recursive and L2' is not recursively enumerable

  3. C.

    L1' and L2' are recursively enumerable

  4. D.

    L1' is recursively enumerable and L2' is recursive

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