Interactions between dependencies and nested relational structures
Journal of Computer and System Sciences
An algebraic theory of functional and multivalued dependencies in relational databases
Theoretical Computer Science
New methods and fast algorithms for database normalization
ACM Transactions on Database Systems (TODS)
Reasoning about functional dependencies generalized for semantic data models
ACM Transactions on Database Systems (TODS)
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)
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)
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 Almost Linear-Time Algorithm for Computing a Dependency Basis in a Relational Database
Journal of the ACM (JACM)
On the Equivalence of Database Models
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
Analysis and design of relational schemata for database systems.
Analysis and design of relational schemata for database systems.
A normal form for XML documents
ACM Transactions on Database Systems (TODS)
Multi-valued dependencies in the presence of lists
PODS '04 Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
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
Algorithmic applications for a new result on multivalued dependencies
VLDB '79 Proceedings of the fifth international conference on Very Large Data Bases - Volume 5
What does Boyce-Codd normal form do?
VLDB '80 Proceedings of the sixth international conference on Very Large Data Bases - Volume 6
Multivalued dependencies in XML
BNCOD'03 Proceedings of the 20th British national conference on Databases
On the logical implication of multivalued dependencies with null values
CATS '06 Proceedings of the 12th Computing: The Australasian Theroy Symposium - Volume 51
On inferences of full hierarchical dependencies
ACSC '07 Proceedings of the thirtieth Australasian conference on Computer science - Volume 62
Full hierarchical dependencies in fixed and undetermined universes
Annals of Mathematics and Artificial Intelligence
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
Appropriate inferences of data dependencies in relational databases
Annals of Mathematics and Artificial Intelligence
On Inferences of Full First-Order Hierarchical Decompositions
Fundamenta Informaticae - Logic, Language, Information and Computation
On the logical implication of multivalued dependencies with null values
CATS '06 Proceedings of the Twelfth Computing: The Australasian Theory Symposium - Volume 51
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The implication of multivalued dependencies (MVDs) in relational databases has originally been defined in the context of some fixed finite universe. While axiomatisability and implication problem have been intensely studied with respect to this notion, almost no research has been devoted towards the alternative notion of implication in which the underlying universe of attributes is left undetermined. Based on a set of common inference rules we reveal all axiomatisations in undetermined universes, and all axiomatisations in fixed universes that indicate the role of the complementation rule as a means of database normalisation. This characterises the expressiveness of several incomplete sets of inference rules. We also establish relationships between axiomatisations in fixed and undetermined universes, and study the time complexity of the implication problem in undetermined universes.