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Assume ∑ = {a} and ε is the empty string:

What is the complement of the language accepted by the NFA shown above?
  • a)
  • b)
    {ε}
  • c)
    a*
  • d)
    {a, ε}
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Assume ∑ = {a} and ε is the empty string:What is the compl...
The given alphabet contains only one symbol {a} and the given NFA accepts all strings with any number of occurrences of ‘a’. In other words, the NFA accepts {a+}. Therefore complement of the language accepted by automata is an empty string.
The Σ = {a} and the given NFA accepts the strings {a, aa, aaa, aaaa,........} i.e. the language accepted by the NFA can be represented by the regular expression: {a+}
So, the complement of language is {a∗ − a+} = {ε}
Hence, the correct option is (B).
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