**Question 1:**List the first four elements of L(G) in lexicographic order.**Options:**- ○ 1, 010, 111, 00100- ○ ε, 1, 010, 111- ○ 01, 010, 111, 00100- ○ 10, 010, 111, 00100 The following context-free grammar G is given:1. $ S \to 1 \, S \, 1 $2. $ S \to T $3. $ T \to 1 \, X \, 1 $4. $ T \to X $5. $ X \to 0 \, X \, 0 $6. $ X \to 1 $This set of production rules defines how strings in the language are generated from the start symbol $ S $. Each rule specifies how a particular non-terminal can be replaced by a string of terminals and/or non-terminals. The grammar outlines the recursive and terminating structures possible in the language.

Answered: (1) List the first four elements of…

(1) List the first four elements of L(G) in lexicographic order. O 1,010, 111, 00100 O €, 1,010, 111 O 01, 010, 111, 00100 10,010, 111, 00100

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 following context-free grammar G is given:

1. $ S \to 1 \, S \, 1 $
2. $ S \to T $
3. $ T \to 1 \, X \, 1 $
4. $ T \to X $
5. $ X \to 0 \, X \, 0 $
6. $ X \to 1 $

This set of production rules defines how strings in the language are generated from the start symbol $ S $. Each rule specifies how a particular non-terminal can be replaced by a string of terminals and/or non-terminals. The grammar outlines the recursive and terminating structures possible in the language.

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