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Is there a simple/efficient way of enumerating the elements of a free distributive lattice?

(I'm doing some computations with them, and listing their elements in what's probably the least efficient way possible...)

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It's equivalent to enumerating monotone Boolean functions, e.g. see Fidytek et al. Algorithms counting monotone Boolean functions

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Notice I don't what their number but the actual list of formulas. –  Mariano Suárez-Alvarez Nov 6 '10 at 4:35

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