Data integration refers to the problem of combining data stored in different sources, providing users with a unified view of the data. Queries are then expressed in terms of a global or mediated schema, which should include integrity constraints that contribute to a correct understanding of what the semantics of the data sources have in common. This thesis addresses the problem of modeling the constraints of a mediated schema from the imported schemas constraints and mappings. It argues that the constraints should be modeled as the greatest lower bound of the constraints of the export schemas, after appropriate translation to a common vocabulary. This assures that users of the mediated schema will correctly interpret query results. For a rich family of constraints, it shows how to efficiently compute the greatest lower bound of sets of constraints.