Answered: Which of the following is a member of…

Which of the following is a member of the language given by the regular expression below?, where e denotes the empty string. (101UEU00) (111)* 00111 11101 0111111 101

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

Which of the following is a member of the language given by the regular expression below?, where e
denotes the empty string.
(101U€U00) (111)*
00111
11101
0111111
101

Expert Solution

Step 1

We know that if L and M are two regular languages then their union L U M is also a union.

L U M = {s | s is in L or s is in M}

Therefore (101 U € U 00) means either 101 or € or 00 may be both.

Therefore the languages that can be given regular expression:

00111 from the expression (101 U € U 00)(111)*

€ from the expression (101 U € U 00)

101 from the expression (101 U € U 00)

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