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Statement: If L id R.E., L^c needs to be R.E. Is it correct?(a) Yes(b) No(c) Maybe(d) Cannot predictThe question was posed to me by my school teacher while I was bunking the class.This intriguing question comes from The Diagonalization Languages topic in section Undecidability of Automata Theory

Answer»

The correct CHOICE is (B) No

The explanation: Any RECURSIVE ennumerable LANGUAGE is not closed under complementation.



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