Question

Consider the grammar -> as|asbs| ethis grammar is ambiguous. Show, in particular, that the string "aab" has two:

a) Possible interpretations
b) Solutions
c) Contradictions
d) None of the above

Answer 1

The string 'aab' is ambiguous according to the provided grammar, as it has two possible interpretations. It can be derived by two different production paths, demonstrating the ambiguity of the grammar in question.

Step-by-step explanation:

The grammar mentioned can generate strings with more than one parsing tree, denoting ambiguity. The string 'aab' can indeed be generated in two different ways from the given grammar:

• Using the production 'as', generating 'a', and then appending 'ab' using the production 'asbs'.
• Using the production 'asbs' directly to generate 'aab'.

Therefore, the string 'aab' has two possible interpretations due to the ambiguity of the grammar. Grammar ambiguity is an important concept in the design of programming languages and compilers because it can lead to different interpretations of code.