Give an example of a set S such that S only contains all-00870

Online Quiz This subjective question is related to the book/course vu cs507 Information Systems. It can also be found in vu cs507 Mid Term Solved Past Paper No. 5.

Question 1: Give an example of a set S such that S* only contains all possible string of a's and b's that has length divisible by 3
Answer:

If S contains all possible strings of a & b of length 3, then all the words in S* will have length divisible by 3 and will include any concatenation of a's and b's (because S did).

By the product rule, there are 2*2*2 = 8 possible words of length 3:

S = {aaa aab aba baa abb bba bab bbb}


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