Random Trivia Give a brief, concise answer for each of the following questions. If it asks for a proof, you don't have to do a formal research paper proof, but there should be a clear sequence logic. (a) For what languages (L) is L* finite? . (b) Describe two languages, A and B, where such that |A · B| < |A| · |B| (c) Prove (AUB)* = (A* B*)* for all languages A and B.

Random Trivia Give a brief, concise answer for each of the following questions. If it asks for a proof, you don't have to do a formal research paper proof, but there should be a clear sequence logic. (a) For what languages (L) is L* finite? . (b) Describe two languages, A and B, where such that |A · B| < |A| · |B| (c) Prove (AUB)* = (A* B) for all languages A and B.