Title
On the classification of recursive languages
Abstract
A one-sided classifier for a given class of languages converges to 1 on every language from the class and outputs 0 infinitely often on languages outside the class. A two-sided classifier, on the other hand, converges to 1 on languages from the class and converges to 0 on languages outside the class. The present paper investigates one-sided and two-sided classification for classes of recursive languages. Theorems are presented that help assess the classifiability of natural classes. The relationships of classification to inductive learning theory and to structural complexity theory in terms of Turing degrees are studied. Furthermore, the special case of classification from only positive data is also investigated.
Year
DOI
Venue
2004
10.1016/j.ic.2004.03.001
Information & Computation
Keywords
Field
DocType
present paper,recursive language,languages converges,one-sided classifier,turing degree,structural complexity theory,two-sided classifier,two-sided classification,natural class,positive data
Discrete mathematics,Structural complexity theory,Sparse language,Abstract family of languages,Theoretical computer science,Turing,Cone (formal languages),Classifier (linguistics),Recursion,Mathematics,Special case
Journal
Volume
Issue
ISSN
192
1
Information and Computation
Citations 
PageRank 
References 
1
0.36
17
Authors
4
Name
Order
Citations
PageRank
John Case123921.40
Efim Kinber242144.95
Arun Sharma321517.14
Frank Stephan431328.88