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Consider the following Deterministic Finite Automata
Q.  Which of the following is true?
  • a)
    It only accepts strings with prefix as "aababb"
  • b)
    It only accepts strings with substring as "aababb"
  • c)
    It only accepts strings with suffix as "aababb"
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following Deterministic Finite AutomataQ. Which of the fo...
To reach the accepting state, any string will have to go through edges having aababb as labels in order. Though it might not be a continuous substring, but it sure will be a substring. There might be some cases where same substring always exists as a prefix or suffix for some DFA, but in this situation we don’t have to consider those cases, given this question has single choice answer. − > O − a− > O − a− > O − b− > O − a− > O − b− > O − b− > O Hence, correct answer should be (B).
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Most Upvoted Answer
Consider the following Deterministic Finite AutomataQ. Which of the fo...
Here check the flow. first straight line 'aababb'. Means it is accepted string for sure. Now let's check another possibilities for those with loops. While checking each looping and back directions you can easily find that at last 'babbb' is compulsory to reach till last node. It is clear whatever the string it is 'aababb' will be part of it to reach last node. Option B.
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Consider the following Deterministic Finite AutomataQ. Which of the following is true?a)It only accepts strings with prefix as "aababb"b)It only accepts strings with substring as "aababb"c)It only accepts strings with suffix as "aababb"d)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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