Relations and graphs: discrete mathematics for computer scientists
Relations and graphs: discrete mathematics for computer scientists
Relational methods in computer science
Relational methods in computer science
Relational methods in computer science
A proof system for dependencies for information relations
Fundamenta Informaticae
A tableaux procedure for the implication problem for association rules
Relational methods for computer science applications
A complete axiomatization for functional and multivalued dependencies in database relations
SIGMOD '77 Proceedings of the 1977 ACM SIGMOD international conference on Management of data
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Order dependencies in relational database due to Ginsburg and Hull are relationships between attributes with domains of ordered values. The basic notions in this paper are comparison systems and relational attribute models in Dedekind categories. A comparison system constitutes a formal structure of possible orders for attribute domains. A relational attribute model is a system of relations on an object (of tuples or records) in Dedekind categories, which can be constructed by a suitable relational interpretation of comparing symbols. Generalizing order dependencies as well as functional dependencies, the paper introduces extended order dependencies, and their satisfactory relations for relational attribute models in Dedekind category. Then we give a simple proof that a revised set of inference rules is sound and complete.