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The language accepted by a turing machine is called ____________

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The language accepted by a turing machine is called ____________

(a) Recursive Ennumerable

(b) Recursive

(c) Both (a) and (b)

(d) None of the mentioned

The question was posed to me in an interview for job.

Question is taken from The Universal Language-Undecidability topic in division Undecidability of Automata Theory

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

Easiest explanation: The language accepted by Turing machines are called recursively ennumerable (RE), and the subset of RE languages that are accepted by a turing machine that always halts are called recursive.

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