The Formal Complexity of Natural Language

W. J. Savitch

ISBN 10: 1556080468 / ISBN 13: 9781556080463

Published by Springer, Springer, 1987

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Ever since Chomsky laid the framework for a mathematically formal theory of syntax, two classes of formal models have held wide appeal. The finite state model offered simplicity. At the opposite extreme numerous very powerful models, most notable transformational grammar, offered generality. As soon as this mathematical framework was laid, devastating arguments were given by Chomsky and others indicating that the finite state model was woefully inadequate for the syntax of natural language. In response, the completely general transformational grammar model was advanced as a suitable vehicle for capturing the description of natural language syntax. While transformational grammar seems likely to be adequate to the task, many researchers have advanced the argument that it is 'too adequate. ' A now classic result of Peters and Ritchie shows that the model of transformational grammar given in Chomsky's Aspects [IJ is powerful indeed. So powerful as to allow it to describe any recursively enumerable set. In other words it can describe the syntax of any language that is describable by any algorithmic process whatsoever. This situation led many researchers to reasses the claim that natural languages are included in the class of transformational grammar languages. The conclu sion that many reached is that the claim is void of content, since, in their view, it says little more than that natural language syntax is doable algo rithmically and, in the framework of modern linguistics, psychology or neuroscience, that is axiomatic.

Seller Inventory # 9781556080463

Bibliographic Details

• Title: The Formal Complexity of Natural Language
• Publisher: Springer, Springer
• Publication Date: 1987
• Language: English
• ISBN 10: 1556080468
• ISBN 13: 9781556080463
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 30D millimeters 241 millimeters width by 160 millimeters height by 30 millimeters depth
• Weight: 872 grams

About this title

Synopsis

Ever since Chomsky laid the framework for a mathematically formal theory of syntax, two classes of formal models have held wide appeal. The finite state model offered simplicity. At the opposite extreme numerous very powerful models, most notable transformational grammar, offered generality. As soon as this mathematical framework was laid, devastating arguments were given by Chomsky and others indicating that the finite state model was woefully inadequate for the syntax of natural language. In response, the completely general transformational grammar model was advanced as a suitable vehicle for capturing the description of natural language syntax. While transformational grammar seems likely to be adequate to the task, many researchers have advanced the argument that it is "too adequate. " A now classic result of Peters and Ritchie shows that the model of transformational grammar given in Chomsky's Aspects [IJ is powerful indeed. So powerful as to allow it to describe any recursively enumerable set. In other words it can describe the syntax of any language that is describable by any algorithmic process whatsoever. This situation led many researchers to reasses the claim that natural languages are included in the class of transformational grammar languages. The conclu­ sion that many reached is that the claim is void of content, since, in their view, it says little more than that natural language syntax is doable algo­ rithmically and, in the framework of modern linguistics, psychology or neuroscience, that is axiomatic.

Review

` .. Savitch et al. have done an excellent job, both in their selections and in their commentaries, of giving a solid introduction to a sparsely cultivated but already complex field. They have also done much to foster the dissemination and the comprehension of formal complexity results in liguistics and to encourage accuracy and lucidity in the formulation, presentation, and interpretation of such results.'
A. Manaster-Ramer in Computational Linguistics, 14:4 (December 1988)