Optimal implicational bases for finite modular lattices

Author: Wild Marcel  

Publisher: Taylor & Francis Ltd

ISSN: 1607-3606

Source: Quaestiones Mathematicae, Vol.23, Iss.2, 2000-06, pp. : 153-161

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Abstract

Each finite closure system, whence each finite lattice, can be described in terms of "implicational bases" (called "covers of functional dependencies" in relational database theory). Although a NP - complete problem in general, it turns out that for modular lattices an optimal implicational base can be computed in polynomial time.