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Unit 8 · Theory of Computation and Compilers Paper 2 CS · September 2022

Consider the following properties of recursively enumerable sets:
(A) Finiteness
(B) Context-freedom
(C) Emptiness
Which of the following is true?

Pick an option to check yourself, or open the answer below.

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Correct answer: D. All of (A), (B) and (C) are not decidable

Explanation

All three are non-trivial properties of RE languages, so each is undecidable by Rice's theorem.

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