Dedekind number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dedekind number" in English language version.

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8doi.org

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ams.org

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Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107. Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855. Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115. Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kahn (2002). Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115.
Church (1940); Church (1965); Zaguia (1993). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842. Church, Randolph (1965), "Enumeration by rank of the free distributive lattice with 7 generators", Notices of the American Mathematical Society, 11: 724. As cited by Wiedemann (1991). Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220.
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Yamamoto (1953). Yamamoto, Koichi (1953), "Note on the order of free distributive lattices", Science Reports of the Kanazawa University, 2 (1): 5–6, MR 0070608.
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842.
Zaguia (1993). Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220.

arxiv.org

Jäkel, Christian (2023-04-03). "A computation of the ninth Dedekind Number". arXiv:2304.00895 [math.CO].
Jäkel, Christian (2023). "A computation of the ninth Dedekind number". Journal of Computational Algebra. 6–7. arXiv:2304.00895. doi:10.1016/j.jaca.2023.100006.
Van Hirtum, Lennart (2023-04-06). "A computation of D(9) using FPGA Supercomputing". arXiv:2304.03039 [cs.DM].

doi.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107. Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855. Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115. Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kahn (2002). Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115.
Church (1940); Church (1965); Zaguia (1993). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842. Church, Randolph (1965), "Enumeration by rank of the free distributive lattice with 7 generators", Notices of the American Mathematical Society, 11: 724. As cited by Wiedemann (1991). Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220.
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Tombak, Mati (2001). "On Logical Method for Counting Dedekind Numbers". Fundamentals of Computation Theory. Lecture Notes in Computer Science. Vol. 2138. pp. 424–427. doi:10.1007/3-540-44669-9_48. ISBN 978-3-540-42487-1.
Jäkel, Christian (2023). "A computation of the ninth Dedekind number". Journal of Computational Algebra. 6–7. arXiv:2304.00895. doi:10.1016/j.jaca.2023.100006.
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842.

jstor.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107. Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855. Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115. Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297

mathpages.com

Brown, K. S., Generating the monotone Boolean functions

semanticscholar.org

api.semanticscholar.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107. Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855. Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115. Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297