Some decision and counting problems of the Duquenne-Guigues basis of implications

نویسندگان

  • Sergei O. Kuznetsov
  • Sergei A. Obiedkov
چکیده

Implications of a formal context obey Armstrong rules, which allows one to define a minimal (in the number of implications) implication basis, called Duquenne–Guigues basis or stem base in the literature. In this paper we show how implications are reduced to functional dependencies and prove that the problem of determining the size of the stem base is a #P-complete problem. © 2007 Published by Elsevier B.V.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 156  شماره 

صفحات  -

تاریخ انتشار 2008