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We are given an alphabet, E. Now we have an operation which takes 3 languages from our alphabet. The output is every word w, as

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We are given an alphabet, E. Now we have an operation which takes 3 languages from our alphabet. The output is every word w, as an element over *, which exists in 2 or more of these languages. Consider * as the set of all words over . Please prove that under our operation, the class of reg. languages is closed

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