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Which among the following are the boolean operations that under which regular languages are closed?

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Which among the following are the boolean operations that under which regular languages are closed?

(a) Union

(b) Intersection

(c) Complement

(d) All of the mentioned

This question was addressed to me in an interview for internship.

Origin of the question is Closure Properties under Boolean Operations topic in division Properties of Regular Languages of Automata Theory

1 Answer

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Best answer
Right option is (d) All of the mentioned

Best explanation: Regular languages are closed under the following operations:

a) Regular expression operations

b) Boolean operations

c) Homomorphism

d) Inverse Homomorphism

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