Interactions between dependencies and nested relational structures
Journal of Computer and System Sciences
Design by exmple: An application of Armstrong relations
Journal of Computer and System Sciences
An algebraic theory of functional and multivalued dependencies in relational databases
Theoretical Computer Science
The structure of the relational database model
The structure of the relational database model
On the representation of dependencies by propositional logic
MFDBS 91 Proceedings of the 3rd symposium on Mathematical fundamentals of database and knowledge base systems
Reasoning about functional dependencies generalized for semantic data models
ACM Transactions on Database Systems (TODS)
Tractable reasoning via approximation
Artificial Intelligence
Object normal forms and dependency constraints for object-oriented schemata
ACM Transactions on Database Systems (TODS)
Axiomatisation of functional dependencies in incomplete relations
Theoretical Computer Science
Reasoning about nested functional dependencies
PODS '99 Proceedings of the eighteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Temporal FDs on complex objects
ACM Transactions on Database Systems (TODS)
Computational problems related to the design of normal form relational schemas
ACM Transactions on Database Systems (TODS)
The theory of joins in relational databases
ACM Transactions on Database Systems (TODS)
Normalization and hierarchical dependencies in the relational data model
ACM Transactions on Database Systems (TODS)
Synthesizing third normal form relations from functional dependencies
ACM Transactions on Database Systems (TODS)
Multivalued dependencies and a new normal form for relational databases
ACM Transactions on Database Systems (TODS)
On the menbership problem for functional and multivalued dependencies in relational databases
ACM Transactions on Database Systems (TODS)
Decompositions and functional dependencies in relations
ACM Transactions on Database Systems (TODS)
On Axiomatizing Multivalued Dependencies in Relational Databases
Journal of the ACM (JACM)
An Algorithm for Inferring Multivalued Dependencies with an Application to Propositional Logic
Journal of the ACM (JACM)
An Equivalence Between Relational Database Dependencies and a Fragment of Propositional Logic
Journal of the ACM (JACM)
Horn clauses and database dependencies
Journal of the ACM (JACM)
On the Structure of Armstrong Relations for Functional Dependencies
Journal of the ACM (JACM)
A relational model of data for large shared data banks
Communications of the ACM
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
Foundations of Databases: The Logical Level
Foundations of Databases: The Logical Level
Entity-Relationship Modeling: Foundations of Database Technology
Entity-Relationship Modeling: Foundations of Database Technology
Inferences involving embedded multivalued dependencies and transitive dependencies
SIGMOD '80 Proceedings of the 1980 ACM SIGMOD international conference on Management of data
The Theory of Data Dependencies - An Overview
Proceedings of the 11th Colloquium on Automata, Languages and Programming
A normal form for XML documents
ACM Transactions on Database Systems (TODS)
Strong functional dependencies and their application to normal forms in XML
ACM Transactions on Database Systems (TODS)
Theory of Relational Databases
Theory of Relational Databases
Functional and multivalued dependencies in nested databases generated by record and list constructor
Annals of Mathematics and Artificial Intelligence
Axiomatisations of functional dependencies in the presence of records, lists, sets and multisets
Theoretical Computer Science - Logic, language, information and computation
On a problem of Fagin concerning multivalued dependencies in relational databases
Theoretical Computer Science
Full hierarchical dependencies in fixed and undetermined universes
Annals of Mathematics and Artificial Intelligence
What does Boyce-Codd normal form do?
VLDB '80 Proceedings of the sixth international conference on Very Large Data Bases - Volume 6
XML schema refinement through redundancy detection and normalization
The VLDB Journal — The International Journal on Very Large Data Bases
Semantics in Data and Knowledge Bases
Expressive, yet tractable XML keys
Proceedings of the 12th International Conference on Extending Database Technology: Advances in Database Technology
Efficient reasoning about a robust XML key fragment
ACM Transactions on Database Systems (TODS)
On Inferences ofWeak Multivalued Dependencies
Fundamenta Informaticae
Functional dependencies in a relational database and propositional logic
IBM Journal of Research and Development
Numerical constraints on XML data
Information and Computation
Consistency enforcement in databases
Proceedings of the 2nd international conference on Semantics in databases
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
Appropriate reasoning about data dependencies in fixed and undetermined universes
FoIKS'08 Proceedings of the 5th international conference on Foundations of information and knowledge systems
When data dependencies over SQL tables meet the logics of paradox and S-3
Proceedings of the twenty-ninth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
On the role of the complementation rule for data dependencies over incomplete relations
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Solving the implication problem for XML functional dependencies with properties
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Elements of Finite Model Theory
Elements of Finite Model Theory
ICDT'07 Proceedings of the 11th international conference on Database Theory
On multivalued dependencies in fixed and undetermined universes
FoIKS'06 Proceedings of the 4th international conference on Foundations of Information and Knowledge Systems
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Database design aims to find a database schema that permits the efficient processing of common types of queries and updates on future database instances. Full first-order hierarchical decompositions constitute a large class of database constraints that can provide assistance to the database designer in identifying a suitable database schema. We establish finite axiomatisations of full first-order hierarchical decompositions that mimic best database design practice. That is, an inference engine derives all the independent collections of the universal schema during database normalization, and the designer determines during database denormalization which re-combinations of these independent collections manifest the final database schema. We also show that well-known correspondences between multivalued dependencies, degenerated multivalued dependencies, and a fragment of Boolean propositional logic do not extend beyond binary full first-order hierarchical decompositions. This research is supported by the Marsden fund council from Government funding, administered by the Royal Society of New Zealand