Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/40593
Title: Learning in friedberg numberings
Authors: Jain, S. 
Stephan, F.
Issue Date: 2007
Source: Jain, S.,Stephan, F. (2007). Learning in friedberg numberings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4754 LNAI : 79-93. ScholarBank@NUS Repository.
Abstract: In this paper we consider learnability in some special numberings, such as Friedberg numberings, which contain all the recursively enumerable languages, but have simpler grammar equivalence problem compared to acceptable numberings. We show that every explanatorily learnable class can be learnt in some Friedberg numbering. However, such a result does not hold for behaviourally correct learning or finite learning. One can also show that some Friedberg numberings are so restrictive that all classes which can be explanatorily learnt in such Friedberg numberings have only finitely many infinite languages. We also study similar questions for several properties of learners such as consistency, conservativeness, prudence, iterativeness and non U-shaped learning. Besides Friedberg numberings, we also consider the above problems for programming systems with if-recursive grammar equivalence problem. © Springer-Verlag Berlin Heidelberg 2007.
Source Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
URI: http://scholarbank.nus.edu.sg/handle/10635/40593
ISBN: 9783540752240
ISSN: 03029743
Appears in Collections:Staff Publications

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