GATE | GATE-CS-2014-(Set-2) | Question 25

Which one of the following is CORRECT?
(A) Only (I)
(B) Only (II)
(C) Both (I) and (II)
(D) Neither (I) nor (II)

Answer: (A)
Explanation: L1.L2 is definitely regular, since regular languages are closed under concatenation.
But L1.L2 = { aⁿbⁿ | n ≥ 0 } is not correct. Because both variable are independent of each other.
L1.L2 = { aⁿb^m| n ≥ 0 , m ≥ 0 } is possible.

Therefore, only statement (i) is TRUE.

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