Prove that L2 = {w = {0,1}+ | w starts and ends with the same symbol} is regular.string of length 1 (e.g., w = 0) starts and ends with the same symbol.

Answered: Prove that L2 = {w = {0,1}+ | w starts…

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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Prove that L2 = {w = {0,1}+ | w starts and ends with the same symbol} is regular.
string of length 1 (e.g., w = 0) starts and ends with the same symbol.

Expert Solution

Step 1

Introduction:

It is possible to prove that the language L2 = {w E {0, 1}+ | w starts and ends with the same symbol} is regular. To do this, we must show that L2 can be denoted by a finite-state machine (FSM).

A functional state machine (FSM) is a mathematical model made up of states, transitions, and input symbols. These components can be used to represent any regular language. To represent L2, we must create an FSM that recognises all of the language's strings.

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