**21. Consider the derivation tree below.**(Graphical Diagram Explanation)The diagram illustrates a derivation tree for generating the string "aab." It is structured as follows:- The root node is labeled "S."- The root node branches into three child nodes: "a," "S," and "b."- The second node "S" further branches into "λ" (lambda, representing the empty string) and "a."Overall, this derivation tree visually represents how the string "aab" can be derived from the starting symbol "S" using a set of production rules in a context-free grammar.**Task:**Find a grammar \( G \) for which this is the derivation tree of the string "aab." Then find two more sentences of \( L(G) \). Find a sentence in \( L(G) \) that has a derivation tree of height five or larger.

Derivation tree or parse tree represents the derivation of string of terminals from the start symbol…

21. Consider the derivation tree below. Find a grammar G for which this is the derivation tree of the string aab. Then find two more sentences of L(G). Find a sentence in L(G) that has a derivation tree of height five or larger.

21. Consider the derivation tree below. Find a grammar G for which this is the derivation tree of the string aab. Then find two more sentences of L(G). Find a sentence in L(G) that has a derivation tree of height five or larger.

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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Question

**21. Consider the derivation tree below.**

(Graphical Diagram Explanation)

The diagram illustrates a derivation tree for generating the string "aab." It is structured as follows:

- The root node is labeled "S."
- The root node branches into three child nodes: "a," "S," and "b."
- The second node "S" further branches into "λ" (lambda, representing the empty string) and "a."

Overall, this derivation tree visually represents how the string "aab" can be derived from the starting symbol "S" using a set of production rules in a context-free grammar.

**Task:**

Find a grammar \( G \) for which this is the derivation tree of the string "aab." Then find two more sentences of \( L(G) \). Find a sentence in \( L(G) \) that has a derivation tree of height five or larger.

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