L = {we {0, 1}* | w contains the same number of occurrences of the substrings 01 and 10} For example, 010 EL since it contains one occurrence of 01 and one occurence of 10 while 1010 L since it contains two 10's and one 01. Note that the strings such as e, 0, 00, etc. are in the language as they contains zero 01 and zero 10. You may use any finite automata including e-NFA.

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 the following is regular :
L= {we {0,1}* | w contains the same number of occurrences of the substrings 01 and 10}
For example, 010 € L since it contains one occurrence of 01 and one occurence of 10 while 1010 L
since it contains two 10's and one 01. Note that the strings such as e, 0, 00, etc. are in the language as
they contains zero 01 and zero 10. You may use any finite automata including -NFA.
Transcribed Image Text:L= {we {0,1}* | w contains the same number of occurrences of the substrings 01 and 10} For example, 010 € L since it contains one occurrence of 01 and one occurence of 10 while 1010 L since it contains two 10's and one 01. Note that the strings such as e, 0, 00, etc. are in the language as they contains zero 01 and zero 10. You may use any finite automata including -NFA.
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