Counting sets generated from given sets by Boolean operations
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Problem 1.5 from Кострикин А.И. "Сборник задач по алгебре" [Кос15]More problems in Section 1 "Operations on subsets. Calculation of the number of elements"
What is the maximum number of subsets that can be formed from given subsets of a fixed set using the operations of intersection, union, and complementation?
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References
[Кос15] Кострикин А.И. Сборник задач по алгебре. МЦНМО, 2015.