Title
New Steps on the Exact Learning of CNF.
Abstract
A major problem in computational learning theory is whether the class of formulas in conjunctive normal form (CNF) is efficiently learnable. Although it is known that this class cannot be polynomially learned using either membership or equivalence queries alone, it is open whether CNF can be polynomially learned using both types of queries. One of the most important results concerning a restriction of the class CNF is that propositional Horn formulas are polynomial time learnable in Angluinu0027s exact learning model with membership and equivalence queries. In this work we push this boundary and show that the class of multivalued dependency formulas (MVDF) is polynomially learnable from interpretations. We then provide a notion of reduction between learning problems in Angluinu0027s model, showing that a transformation of the algorithm suffices to efficiently learn multivalued database dependencies from data relations. We also show via reductions that our main result extends well known previous results and allows us to find alternative solutions for them.
Year
Venue
Field
2016
arXiv: Learning
Discrete mathematics,Multivalued dependency,Equivalence (measure theory),Conjunctive normal form,Artificial intelligence,Computational learning theory,Time complexity,Mathematics,Machine learning
DocType
Volume
Citations 
Journal
abs/1609.03054
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Montserrat Hermo15510.77
Ana Ozaki2917.03