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GATE | GATE-CS-2007 | Question 74

  • Difficulty Level : Hard
  • Last Updated : 28 Jun, 2021

Consider the following Finite State Automaton. The language accepted by this automaton is given by the regular expression

GATECS200774

 

GATECS200774ans
(A) A
(B) B
(C) C
(D) D


Answer: (C)

Explanation: In this case, we would at least have to reach q1 so that our string gets accepted. So, b* a is the smallest accepted string.
Now, at q1, any string with any number of a’s and b’s would be accepted. So, we append (a + b)* to the smallest accepted string.

 
Thus, the string accepted by the FSA is b* a (a + b)*.

 
Thus, C is the correct choice.

 
Please comment below if you find anything wrong in the above post.

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