![]() Recall a closure property is a statement that a certain operation on languages, when applied to languages in a class (e.g., the regular languages), produces a result that is also in that class. Lets first draw the DFA for L1 that accepts the strings of even length. The language accepted by the complemented DFA L2 is the complement of the language L1. The complement of a DFA can be obtained by making the non-final states as final states and vice-versa. To see this fact, take deterministic FA for L and interchange the accept and reject states. ![]() The statement says that if L is a regular lan- guage, then so is L. The complement of language L, written L, is all strings not in L but with the same alphabet. The set of regular languages is closed under complementation. Why are languages closed under complementation? Because there are Turing reductions from every problem to its complement, any class which is closed under Turing reductions is closed under complement. Which one is the complement of the below NFA?Ī class is said to be closed under complement if the complement of any problem in the class is still in the class.Which of the operations are closed under regular expression?.Why are languages closed under complementation?. ![]()
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