Answered: Course Name: Theory of Automata…

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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Course Name: Theory of Automata

Requirement: Plz don't copy the solution from the internet.

Q. Let us reconsider the regular expression
(a + b)*a(a + b)*b(a + b)*
(i) Show that this is equivalent to
(a + b)*ab(a + b)*
in the sense that they define the same language.
(ii) Show that
(a + b)*ab(a +b)* + b*a* = (a + b)*
(iii) Show that
(a + b)* ab[(a + b)*ab(a + b)* + b*a*] + b*a* = (a + b)*

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