5. Assume the alphabet Σ = {0,1}. Give three different regular expressions (besides the one given) that specify the language described by this regular expression: ((11)*1*)* + (11 + 1)* + (0+ €)* In each case, explain why your regular expression specifies the same language. Note: For the purposes of this exercise only, changing the order of a union does not count as a different regular expression. Your examples also should not be more complicated than the original regular expression.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Assume the alphabet = {0,1}. Give three different regular expressions (besides the one
Σ
given) that specify the language described by this regular expression:
((11)*1*)*+ (11 + 1)* + (0+ €)*
In each case, explain why your regular expression specifies the same language.
Note: For the purposes of this exercise only, changing the order of a union does not count as
a different regular expression. Your examples also should not be more complicated than the
original regular expression.
5
Transcribed Image Text:5. Assume the alphabet = {0,1}. Give three different regular expressions (besides the one Σ given) that specify the language described by this regular expression: ((11)*1*)*+ (11 + 1)* + (0+ €)* In each case, explain why your regular expression specifies the same language. Note: For the purposes of this exercise only, changing the order of a union does not count as a different regular expression. Your examples also should not be more complicated than the original regular expression. 5
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