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: 3

Answer

a) No b) No c) Yes d) Yes e) Yes f) No g) No h) Yes

Work Step by Step

Determining whether 0101 belongs to each of the given regular sets. a) 01∗0∗ --No b) 0(11)∗(01)∗ --No c) 0(10)∗1∗ --Yes d) 0∗10(0 ∪ 1) --Yes e) (01)∗(11)∗ --Yes f ) 0∗ (10 ∪ 11) ∗ --No g) 0∗(10)∗11 --No h) 01(01 ∪ 0)1∗ --Yes
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