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Average Size of Implicational Bases

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 نشر من قبل Giacomo Kahn
 تاريخ النشر 2018
  مجال البحث الهندسة المعلوماتية
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 تأليف Giacomo Kahn




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Implicational bases are objects of interest in formal concept analysis and its applications. Unfortunately, even the smallest base, the Duquenne-Guigues base, has an exponential size in the worst case. In this paper, we use results on the average number of minimal transversals in random hypergraphs to show that the base of proper premises is, on average, of quasi-polynomial size.



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