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If A and B are regular languages, !(A’ U B’) is:

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in Automata Theory by (51.1k points)
If A and B are regular languages, !(A’ U B’) is:

(a) regular

(b) non regular

(c) may be regular

(d) none of the mentioned

This question was addressed to me during an interview.

The origin of the question is Closure Properties under Boolean Operations in chapter Properties of Regular Languages of Automata Theory

1 Answer

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Best answer
Correct choice is (a) regular

The best I can explain: If A and B are regular languages, then A Ç B is a regular language and  A ∩ B is equivalent to  !(A’ U B’).

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