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GATE | Gate IT 2005 | Question 4

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

(A)

It is necessarily regular but not necessarily context-free

(B)

It is necessarily context-free.

(C)

It is necessarily non-regular.

(D)

None of the above

Answer

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