Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 13 - Section 13.4 - Language Recognition - Exercises - Page 887: 1

Answer

Describing the given strings in words of regular sets

Work Step by Step

a) 1∗0 -- Any number of 1s followed by a 0 b) 1*00* -- Any number of 1s followed by one or more 0s c) 111 ∪ 001 -- 111 or 001 d) (1 ∪ 00)∗ -- A string of any number of 1s or 00s or some of each in a row e) (00∗1)∗ -- λ or a string that ends with a 1 and has one or more 0s before each 1 f ) (0 ∪ 1)(0 ∪ 1) ∗00 -- A string of length at least 3 that ends with 00
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