Average Size of Implicational Bases

Giacomo Kahn; Alexandre Bazin

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arXiv · 1802.04032

Average Size of Implicational Bases

Giacomo Kahn·Alexandre Bazin

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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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Giacomo Kahn, Alexandre Bazin. 2018-02-12. Average Size of Implicational Bases. https://arxiv.org/abs/1802.04032

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