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Recursively enumerable languages are not closed under ______________

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Recursively enumerable languages are not closed under ______________

(a) Union

(b) Intersection

(c) Complementation

(d) Concatenation

I have been asked this question in an international level competition.

The query is from Context Free Grammar topic in portion Contextfree Grammar and Syntax Analysis of Compiler

1 Answer

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Best answer
Right choice is (c) Complementation

To explain: Recursive languages are closed under the following operations.

The Kleene star L * of L

the concatenation L * o P of L and P

the union L U P

the intersection L ∩ P.

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