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GATE | GATE-CS-2015 (Set 2) | Question 45

Consider alphabet ∑ = {0, 1}, the null/empty string λ and the sets of strings X0, X1 and X2 generated by the corresponding non-terminals of a regular grammar. X0, X1 and X2 are related as follows:
X0 = 1 X1
X1 = 0 X1 + 1 X2
X2 = 0 X1 + {λ} 
Which one of the following choices precisely represents the strings in X0?

(A)

10 (0* + (10)*)1

(B)

10 (0* + (10)*)*1

(C)

1(0* + 10)*1

(D)

10 (0 + 10)*1 + 110 (0 + 10)*1

Answer

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