Answered: The grammar G, with productions S- abB,…

The grammar G, with productions S- abB, A - aaBb, B – bbAa, A - X, s context-free. We leave it to the reader to show that L (G) = {ab (bbaa)" bba (ba)" : n 2 0}.

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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Concept explainers

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.

Question

Also, Is the language in Example 5.2 regular, why?

### Example 5.2

The grammar \( G \), with productions:

- \( S \rightarrow abB \)
- \( A \rightarrow aaBb \)
- \( B \rightarrow bbAa \)
- \( A \rightarrow \lambda \)

is context-free. We leave it to the reader to show that

\[ L(G) = \{ ab (bbaa)^n bba (ba)^n : n \geq 0 \} . \]

**Instruction:**

Give a derivation tree for \( w = abbbaabbaba \) for the grammar in *Example 5.2*. Use the derivation tree to find a leftmost derivation.

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