Learnable Classes of Categorial Grammars

by Makoto Kanazawa

Overview

This book investigates the learnability of various classes of classical categorial grammars within the Gold paradigm of identification in the limit from positive data. Learning from structure and learning from flat strings are considered. The class of k-valued grammars, for k = 1,2,3,..., is shown to be learnable both from structures and from strings, while the class of least-valued grammars and the class of least-cardinality grammars are shown to be learnable from structures. In proving these learnable results, crucial use is made of a theorem on the concept known as finite elasticity. The learning algorithms used in this work build on Buszkowski and Penn's algorithm for finding categorial grammars from input consisting of functor-argument structures.

Product Details

ISBN-13:	9781575869964
Publisher:	CSLI
Publication date:	01/15/2017
Series:	Studies in Logic, Language, and Information
Sold by:	Barnes & Noble
Format:	eBook
Pages:	200
File size:	3 MB

Table of Contents

1. Introduction 2. Learnability theorem 3. A theorem of finite elasticity 4. Classical categorial grammar 5. Basic theory of rigid grammars 6. Learning from structures I: rigid, k-valued, and least-valued grammar 7. Learning from structures II: Subclasses of the optimal grammars 8. Learning from strings 9. Variations 10. Conclusions Appendix.