Title
Exact learning of multivalued dependency formulas.
Abstract
The transformation of a relational database schema into fourth normal form, which minimizes data redundancy, relies on the correct identification of multivalued dependencies. In this work, we study the learnability of multivalued dependency formulas (MVDF), which correspond to the logical theory behind multivalued dependencies. As we explain, MVDF lies between propositional Horn and 2-Quasi-Horn. We prove that MVDF is polynomially learnable in Angluin et al.'s exact learning model with membership and equivalence queries, provided that counterexamples and membership queries are formulated as 2-Quasi-Horn clauses. As a consequence, we obtain that the subclass of 2-Quasi-Horn theories which are equivalent to MVDF is polynomially learnable.
Year
DOI
Venue
2018
10.1016/j.tcs.2017.11.018
Theoretical Computer Science
Keywords
Field
DocType
Exact learning,Multivalued dependencies,2-Quasi-Horn
Discrete mathematics,Multivalued dependency,Fourth normal form,Data redundancy,Equivalence (measure theory),Counterexample,Learnability,Mathematics,Relational database schema
Journal
Volume
ISSN
Citations 
716
0304-3975
0
PageRank 
References 
Authors
0.34
10
2
Name
Order
Citations
PageRank
Montserrat Hermo15510.77
Ana Ozaki2917.03