Question

Is the grammar implicitly defined by the following rules ambiguous?

s→ab
a→aa
a→aba
a→ε
b→bb
b→abb
b→ε

A) Yes, it is ambiguous.

B) No, it is not ambiguous.

C) Ambiguity cannot be determined from the given rules.

Answer 1

The grammar defined by the given rules is ambiguous. The correct answer is A) Yes. For example, the rule 's → ab' can be derived as 's → a → aa → ab' or 's → a → aba → ab'. So, the grammar is ambiguous, and the correct answer is A) Yes.

Step-by-step explanation:

The grammar defined by the given rules is ambiguous.

Ambiguity in grammar means that a given sentence can have more than one interpretation or meaning.

In this case, the given rules can generate multiple parse trees or derivations for the same sentence.

For example, the rule 's → ab' can be derived as 's → a → aa → ab' or 's → a → aba → ab'.

So, the grammar is ambiguous, and the correct answer is A) Yes.