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Problem 1 Prove or disprove the following: 1. For all languages L1, L2; (L1 U L2)* = LIUL. 2. For all languages L1, L2, L3;

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Problem 1 Prove or disprove the following: 1. For all languages L1, L2; (L1 U L2)* = LIUL. 2. For all languages L1, L2, L3; (LI U L2)L3 = (LL3) U (L2L3). 3. For all languages L1, L2, L3; (L1L2) U L3 = (L1 U L3)(L2 U L3)

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