Title
Construction and learnability of canonical Horn formulas
Abstract
We describe an alternative construction of an existing canonical representation for definite Horn theories, the Guigues-Duquenne basis (or GD basis), which minimizes a natural notion of implicational size. We extend the canonical representation to general Horn, by providing a reduction from definite to general Horn CNF. Using these tools, we provide a new, simpler validation of the classic Horn query learning algorithm of Angluin, Frazier, and Pitt, and we prove that this algorithm always outputs the GD basis regardless of the counterexamples it receives.
Year
DOI
Venue
2011
10.1007/s10994-011-5248-5
Machine Learning
Keywords
Field
DocType
Query learning,Horn formulas,Canonical representation
Query learning,Discrete mathematics,Canonical form,Counterexample,Learnability,Mathematics
Journal
Volume
Issue
ISSN
85
3
0885-6125
Citations 
PageRank 
References 
15
0.88
23
Authors
2
Name
Order
Citations
PageRank
Marta Arias116515.62
José L. Balcázar270162.06