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A computation of the eighth Dedekind number


We compute the eighth Dedekind number, or the number of monotone collections of subsets of a set with eight elements. The number obtained is 56, 130, 437, 228, 687, 557, 907, 788.

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Communicated by I. Rival

Work done while the author was with IDA-CCR, Princeton, New Jersey.

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Wiedemann, D. A computation of the eighth Dedekind number. Order 8, 5–6 (1991).

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AMS subject classification (1991)

  • 06D99

Key words

  • Dedekind number
  • free distributive lattice
  • monotone