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?
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?
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:
\[ S \Rightarrow aAB \Rightarrow aAB \Rightarrow abBb \Rightarrow abAb \Rightarrow abbBbb \Rightarrow abbbb. \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F704b827e-deaa-44d8-a770-4a53587ae624%2F674f6375-5bd6-4797-bc6b-9eee4da6720b%2Fc9jyztb_processed.png&w=3840&q=75)
Transcribed Image Text:### 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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