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+10 votes

Choose the correct alternatives (more than one may be correct) and write the corresponding letters only:

Which of the following is the strongest correct statement about a finite language over some finite alphabet $\Sigma$ ?

  1. It could be undecidable
  2. It is Turing-machine recognizable
  3. It is a context sensitive language.
  4. It is a regular language.
  5. None of the above,
asked in Theory of Computation by Veteran (52k points)
edited by | 1.1k views

1 Answer

+21 votes
Best answer

(b), (c) and (d) are true. But the strongest answer would be (d) a regular language. It is trivial to say that a finite set of strings (finite language) can be accepted using a finite set of states. And regular language $\subset$ context-free $\subset$ context-sensitive $\subset$ Turing recognizable, would imply that regular language is the strongest answer. 

answered by Boss (16k points)
edited by
@arjun sir if finite word was not mentioned then a) would be the answer?

talha hashim i too think the same.

how it could be undecidable then  it would not be

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