Computational problems related to the design of normal form relational schemas
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The theory of joins in relational databases
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Extending the database relational model to capture more meaning
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Efficient optimization of a class of relational expressions
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Synthesizing third normal form relations from functional dependencies
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Multivalued dependencies and a new normal form for relational databases
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Database abstractions: aggregation
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A relational model of data for large shared data banks
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A complete axiomatization for functional and multivalued dependencies in database relations
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Synthesizing independent database schemas
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Design of relational views over network schemas
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Equivalence of relational database schemes
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The universal instance and database design
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Notions of dependency satisfaction
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Constant time maintenance or the triumph of the FD.
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On the properties and characterization of connection-trap-free schemes
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Journal on Data Semantics XIII
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We claim that the representative instance of [Ho1, Va3] is a correct representation of the data stored in a database even when the relations of the database are not the projections of a single universal instance. If no constraint (other than functional and join dependencies) is imposed on the data, then projections of the representative instance cannot always be computed by lossless joins. We show that if the database satisfies a modified foreign-key constraint, then projections of the representative instance can be computed by performing the union of several lossless joins. A class of relation schemes for which no constraint is necessary is characterized, and we show how to compute projections of the representative instance for databases that belong to this class.