GATE CS 2015 Set 2 — Question 60
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Theory of Computation → Finite Automata & Regular Languages → Regular Expressions
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Question
Consider the alphabet , the null/empty string and the sets of strings , and generated by the corresponding non-terminals of a regular grammar. , and are related as follows.Which one of the following choices precisely represents the strings in ?
Correct answer
(C) 1(0 + 10)^ 1
Solution
We have the system of equations:
1)
2)
3) Substitute (3) into (2):
Using Arden's Theorem ():
Substitute into (1):
This matches option (C).
1)
2)
3) Substitute (3) into (2):
Using Arden's Theorem ():
Substitute into (1):
This matches option (C).
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