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Jinyoung Park (박진영), Dedekind’s Problem and beyond
Jinyoung Park (박진영), Dedekind’s Problem and beyond
The Dedekind's Problem asks the number of monotone Boolean functions, a(n), on n variables. Equivalently, a(n) is the number of antichains in the n-dimensional Boolean lattice $^n$. While the exact formula for the Dedekind number a(n) is still unknown, its asymptotic formula has been well-studied. Since any subsets of a middle layer of the Boolean …