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(2 points) Prove that regular languages are closed under complements. The complement of a regular language, L, denoted Lc, therefore is the set of all

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(2 points) Prove that regular languages are closed under complements. The complement of a regular language, L, denoted Lc, therefore is the set of all strings (from *) that are not in L, or Lc-{ x | x e * and x L }. 5

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