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Which of the following can be used to prove a language is not context free?

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in Automata Theory by (51.1k points)
Which of the following can be used to prove a language is not context free?

(a) Ardens theorem

(b) Power Construction method

(c) Regular Closure

(d) None of the mentioned

This question was addressed to me in exam.

Origin of the question is Intersection with Regular Languages topic in section Properties of Context Free Languages of Automata Theory

1 Answer

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Right option is (c) Regular Closure

The best I can explain: We can use the properties of regular closure to prove that a language is not a context free language. Example: Intersection of context free language and regular language is a context free language. Proof by contradiction helps here.

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