Question: Problem 4 Prove that for any three languages: (L U L2) L3 = L1 L3 U L2 L3 Problem 5 For a given word w,

Problem 4 Prove that for any three languages: (L U L2)

Problem 4 Prove that for any three languages: (L U L2) L3 = L1 L3 U L2 L3 Problem 5 For a given word w, define Lj = {prefixes of w}; L2 = {suffixes of wR }. Prove that L1 = L2". Problem 6 Prove that for some three languages: (L1 L2) L3 + L1 L3 N L2 L3 (It is enough that you provide one counterexample.)

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