### Example 5.5Consider the grammar with productions:- \( S \rightarrow aAB \)- \( A \rightarrow bBb \)- \( B \rightarrow A \mid \lambda \)Then\[ S \Rightarrow aAB \Rightarrow abBbB \Rightarrow abAbB \Rightarrow abbBbB \Rightarrow abbbbB \Rightarrow abbbb \]is a leftmost derivation of the string `abbbb`. A rightmost derivation of the same string is:\[ S \Rightarrow aAB \Rightarrow aAB \Rightarrow abBb \Rightarrow abAb \Rightarrow abbBbb \Rightarrow abbbb. \] Use the exhaustive search parsing method to parse the string `abbbbbb` with the grammar in Example 5.5. In general, how many rounds will be needed to parse any string `w` in this language?

Exhaustive search parsing is to parse a string W, generate all strings in language L and see if W is…

Answered: Use the exhaustive search parsing…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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### Example 5.5

Consider the grammar with productions:

- \( S \rightarrow aAB \)
- \( A \rightarrow bBb \)
- \( B \rightarrow A \mid \lambda \)

Then

\[ S \Rightarrow aAB \Rightarrow abBbB \Rightarrow abAbB \Rightarrow abbBbB \Rightarrow abbbbB \Rightarrow abbbb \]

is a leftmost derivation of the string `abbbb`. A rightmost derivation of the same string is:

\[ S \Rightarrow aAB \Rightarrow aAB \Rightarrow abBb \Rightarrow abAb \Rightarrow abbBbb \Rightarrow abbbb. \]

Transcribed Image Text:Use the exhaustive search parsing method to parse the string `abbbbbb` with the grammar in Example 5.5. In general, how many rounds will be needed to parse any string `w` in this language?

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