Title
Appropriate reasoning about data dependencies in fixed and undetermined universes
Abstract
We study inference systems for the combined class of functional and full hierarchical dependencies in relational databases. Two notions of implication are considered: the original version in which the underlying set of attributes is fixed, and the alternative notion in which this set is left undetermined. The first main result establishes a finite axiomatisation in fixed universes which clarifies the role of the complementation rule in the combined setting. In fact, we identify inference systems that are appropriate in the following sense: full hierarchical dependencies can be inferred without use of the complementation rule at all or with a single application of the complementation rule at the final step of the inference; and functional dependencies can be inferred without any application of the complementation rule. The second main result establishes a finite axiomatisation for functional and full hierarchical dependencies in undetermined universes.
Year
DOI
Venue
2008
10.1007/978-3-540-77684-0_7
FoIKS
Keywords
Field
DocType
main result,full hierarchical dependency,complementation rule,fixed universe,functional dependency,combined setting,inference system,combined class,finite axiomatisation,appropriate reasoning,data dependency,single application,undetermined universe,relational database
Data mining,Data dependency,Relational database,Inference,Computer science,Theoretical computer science,Functional dependency,Universe,Rule of inference,Dependency theory (database theory),Inference system
Conference
Volume
ISSN
ISBN
4932
0302-9743
3-540-77683-4
Citations 
PageRank 
References 
5
0.39
35
Authors
2
Name
Order
Citations
PageRank
Joachim Biskup11389492.62
Sebastian Link230719.17