Theory-of-Computation

Question 1

Which one of the following regular expressions is NOT equivalent to the regular expression (a + b + c)*?

A
(a* + b* + c*)*
B
(a*b*c*)*
C
((ab)* + c*)*
D
(a*b* + c*)*
Question 1 Explanation: 
With the given r.e. (a+b+c)* we can generate “a”.
From option ‘c’ we cannot be able to create a without b. So option is not equivalent.
Correct Answer: C
Question 1 Explanation: 
With the given r.e. (a+b+c)* we can generate “a”.
From option ‘c’ we cannot be able to create a without b. So option is not equivalent.

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