GATE | GATE-CS-2016 (Set 1) | Question 52

Consider the following context-free grammars: 

Which one of the following pairs of languages is generated by G1 and G2, respectively 

(A)

A

(B)

B

(C)

C

(D)

D

Answer: (D)

Explanation:

In G1, there will be at least 1 b because S->B and B->b. But no of A’s can be 0 as well and no of A and B are independent. 

In G2, either we can take S->aA or S->bB. So it must have at least 1 a or 1 b. 

So option D is correct. 

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