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Answer to Question #23185 in Other Math for Sujata Roy

Question #23185
Consider the following grammar.
S → ( S )
S → x
Which of the following statements is (are) true?
S → ( S )
S → x
I. The grammar is ambiguous.
II. The grammar is suitable for top-down parsing.
III. The grammar is suitable for bottom-up parsing.
(A) I only (B) II only (C) III only (D) II and III only (E) I, II, and III
Expert's answer
It's ambiguous, because for any word we have only one wayto create it.
Example: ((((x)))){S->(S),S->(S),S->(S),S->(S),S->x}
It isn't suitable for top-down parsing, because by termsto use we must have either grammar only as A->a or only as A->ab, but not
A->aAb (a="(", b=")" ) So answer is (A), because II
doesn't suit.

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