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Conference Papers Year : 2018

Average Size of Implicational Bases

Abstract

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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Dates and versions

hal-01706405 , version 1 (11-02-2018)

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Giacomo Kahn, Alexandre Bazin. Average Size of Implicational Bases. International Conference on Concept Lattices and Their Applications, Jun 2018, Olomouc, Czech Republic. ⟨hal-01706405⟩
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