Let = {0,1} and L be the language L = {w| the number of occurencess of 01 in w is equal to the number of occurencess of 10.} For example, the word 010 is in L because it has one occurences of 01 and one of 10. The word 01101 is not in L because it has 2 occurences of 01 but only one of 10. Does there exist a regular expression r such that L = L(r)? If yes, find one. If not, explain why not.
Let = {0,1} and L be the language L = {w| the number of occurencess of 01 in w is equal to the number of occurencess of 10.} For example, the word 010 is in L because it has one occurences of 01 and one of 10. The word 01101 is not in L because it has 2 occurences of 01 but only one of 10. Does there exist a regular expression r such that L = L(r)? If yes, find one. If not, explain why not.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let = {0,1} and L be the language
L = {w| the number of occurencess of 01 in w is equal to the number of occurencess of 10.}
For example, the word 010 is in L because it has one occurences of 01 and one of 10. The word 01101
is not in L because it has 2 occurences of 01 but only one of 10. Does there exist a regular expression r
such that L = L(r)? If yes, find one. If not, explain why not.
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