Question: Let L 1 , L 2 , and L 3 be three languages over the same alphabet Sigma . If we know that L

Let L1, L2, and L3 be three languages over the same alphabet \Sigma . If we know that L1 and
L3 are regular languages and that L1\cup L2= L3, can we infer that L2 is also regular? Provide a
brief but formal justification of your response.

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