GATE | GATE-CS-2007 | Question 79
For the correct answer strings to below grammar, how many derivation trees are there?
(A)
1
(B)
2
(C)
3
(D)
4
Answer: (B)
Explanation:
When it asks about the no of derivations tree, we should consider either left most derivation(LMD) or right most derivations(RMD), but not both. Here two left most derivations are possible for the correct string of the previous question \”aabbab\” from the given grammar.
LMD-1 S -> aB [Using S –> aB] -> aaBB [Using B –> aBB] -> aabB [Using B –> b] -> aabbS [Using B –> bS] -> aabbaB [Using S –> aB] -> aabbab [Using B –> b]
LMD-2 S -> aB [Using S –> aB] -> aaBB [Using B –> aBB] -> aabSB [Using B –> bS] -> aabbAB [Using S –> bA] -> aabbaB [Using A –> a] -> aabbab [Using B –> b] The Derivation tress are shown below :
Quiz of this Question Please comment below if you find anything wrong in the above post
Last Updated :
14 Sep, 2021
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