Let L be a regular language and M be a context-free language, both over the…

GATE · 2005 · IT

Let L be a regular language and M be a context-free language, both over the alphabet Σ. Let Lc and Mc denote the complements of L and M respectively. Which of the following statements about the language Lc∪ Mc is TRUE

  1. A.

    It is necessarily regular but not necessarily context-free

  2. B.

    It is necessarily context-free.

  3. C.

    It is necessarily non-regular.

  4. D.

    None of the above

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