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Which kind of proof is used to prove the regularity of a language?

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Which kind of proof is used to prove the regularity of a language?

(a) Proof by contradiction

(b) Direct proof

(c) Proof by induction

(d) None of the mentioned

This question was posed to me in an internship interview.

Origin of the question is Applications of Pumping Lemma/Pigeonhole principle in section Properties of Regular Languages of Automata Theory

1 Answer

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Correct option is (a) Proof by contradiction

For explanation: We use the method of proof by contradiction in pumping lemma to prove that a language is regular or not.

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