The work is devoted to the problems of the logic rules revealing in databases. By formal revealing of the logic implications the large number of irrelevant rules on the one hand turns out, and on the other hand there are no means of detection of not strict rules admitting exception. In given work the concept of not strict implication for method of formal concept analysis is proposed. The procedure of selection most informative implications based on parameters of accuracy and reliability not strict implications is offered. Some attention to the practical usage of this procedure is paid.

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