GATE | GATE CS 2013 | Question 8



Consider the languages L1 = \phi and L2 = {a}. Which one of the following represents L1 L2* U L1*

gatecs20135

(A) A
(B) B
(C) C
(D) D


Answer: (A)

Explanation: L1 L2* U L1*

Result of L1 L2* is \phi.

{\phi} indicates an empty language. Concatenation of \phi with any other language is \phi. It works as 0 in multiplication.

L1* = \phi* which is {\epsilon}.

Union of \phi and {\epsilon} is {\epsilon}

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