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The hierarchical data format becomes increasingly common. One of the problems arising with it is efficient tree integration, i.e. integration of XML databases. One possible approach is path-based integration, used among others in applications using XQuery and XPath database queries. This article offers a generalization for integration tasks based on this approach, as well as a short analysis of the result in terms of other existing integration criteria. The paper presents estimations for such criteria as Completeness, Minimality and Precision.