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If L1, L2 are regular and op(L1, L2) is also regular, then L1 and L2 are said to be ____________ under an operation op.

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If L1, L2 are regular and op(L1, L2) is also regular, then L1 and L2 are said to be ____________ under an operation op.

(a) open

(b) closed

(c) decidable

(d) none of the mentioned

This question was addressed to me during an interview.

My doubt is from Closure Properties under Boolean Operations in division Properties of Regular Languages of Automata Theory

1 Answer

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The correct answer is (b) closed

For explanation I would say: If two regular languages are closed under an operation op, then the resultant of the languages over an operation op will also be regular.

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