Use the string “00111” to show that the following grammar is ambiguous: 𝑆 → 𝐴𝑆 | ϵ 𝐴 → 𝐴1 | 0𝐴1 | 01

Question

Use the string “00111” to show that the following grammar is ambiguous: 𝑆 → 𝐴𝑆 | ϵ 𝐴 → 𝐴1 | 0𝐴1 | 01
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Solution 1

The given string is "00111". The grammar is ambiguous if there is more than one derivation tree that leads to the same string. Let's see if we can derive the string in two different ways.

First derivation:

  1. S -> AS (using S -> AS)

  2. AS -> 0A1S (using A -> 0A1)

  3. 0A1S -> 00A11S (using A -> 0A1)

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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