The production rules of grammar are defined with the starting nonterminal given by the first rule. The image displays a set of production rules for a context-free grammar. Here is the transcription of the grammar rules:1. \( R \rightarrow XRX \, | \, S \)2. \( S \rightarrow aTb \, | \, bTa \)3. \( T \rightarrow XTX \, | \, X \, | \, \lambda \)4. \( X \rightarrow a \, | \, b \)**Explanation:**- The grammar consists of four non-terminal symbols: \( R \), \( S \), \( T \), and \( X \).- There are two terminal symbols: \( a \) and \( b \).- The symbol \( \lambda \) represents the empty string.- The production rules define how the non-terminal symbols can be replaced by combinations of other non-terminals and terminals.This grammar likely generates a particular language over the alphabet \( \{a, b\} \). Each production rule offers various substitutions, guiding how strings in the language are formed. e. Give three strings *not* in \( L(G) \).f. True or False: \( T \Rightarrow \text{aba} \).

Answered: R-> XRX | S S-> aTb | bTa T-> XTX | X |…

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R-> XRX | S S-> aTb | bTa T-> XTX | X | 2. X->a | b

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

The production rules of grammar are defined with the starting nonterminal given by the first rule.

The image displays a set of production rules for a context-free grammar. Here is the transcription of the grammar rules:

1. \( R \rightarrow XRX \, | \, S \)

2. \( S \rightarrow aTb \, | \, bTa \)

3. \( T \rightarrow XTX \, | \, X \, | \, \lambda \)

4. \( X \rightarrow a \, | \, b \)

**Explanation:**

- The grammar consists of four non-terminal symbols: \( R \), \( S \), \( T \), and \( X \).
- There are two terminal symbols: \( a \) and \( b \).
- The symbol \( \lambda \) represents the empty string.
- The production rules define how the non-terminal symbols can be replaced by combinations of other non-terminals and terminals.

This grammar likely generates a particular language over the alphabet \( \{a, b\} \). Each production rule offers various substitutions, guiding how strings in the language are formed.

e. Give three strings *not* in \( L(G) \).

f. True or False: \( T \Rightarrow \text{aba} \).

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