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If L is a recursive language, L’ is:(a) Recursive(b) Recursively Ennumerable(c) Both (a) and (b)(d) None of the mentionedThis question was addressed to me during an interview for a job.My question is taken from The Language of Turing Machine-2 in section Introduction to Turing Machines of Automata Theory

Answer»

The CORRECT choice is (c) Both (a) and (b)

To explain I would say: If T is a TURING machine recognizing L, we can MAKE it recognize L’ by interchanging the two outputs. And EVERY recursive language is recursively ennumerable.



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