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Is the following statement true or false?

"For two undecidable languages [tex]L_1[/tex] and [tex]L_2[/tex], their intersection [tex]L_1 \cap L_2[/tex] is undecidable."

A. True
B. False

Answer :

Final answer:

The statement that for two undecidable languages l1 and l2, their intersection l1 ∩ l2 is undecidable is true.

Explanation:

The statement "for two undecidable languages l1 and l2, their intersection l1 ∩ l2 is undecidable" is true.

In order to understand this statement, we need to clarify the meaning of "undecidable languages". An undecidable language is a language for which there is no algorithm that can determine whether a given input belongs to the language or not.

If we have two undecidable languages l1 and l2, then their intersection l1 ∩ l2 is also undecidable. This is because if there was an algorithm that could decide whether an input is in the intersection, we could use it to decide membership in either l1 or l2, which would contradict the undecidability of l1 and l2.

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