Question

Consider the language S*, where S = {aa abba bbaa}. Which one of the following words...

Consider the language S*, where S = {aa abba bbaa}. Which one of the following words is not in the language?

1. abbaaa

2. bbaabba

3. aabbaaaa

4. abbabbaaabba

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Answer #1

Answer:-

From the given data we can say that option 2 is not in the language
i.e; (2) bbaabba
Clarification:-
We know that all other strings are in S*(means those are generated by aa abba bbaa)
then,

abbaaa = abba aa
   aabbaaaa = aa bbaa aa
   abbabbaaabba = abba bbaa abba

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