Mathematics of Language

Proceedings of a conference held at the University of Michigan, Ann Arbor, October 1984

ISBN 9789027220493 (Eur) | EUR 125.00
ISBN 9781556190322 (USA) | USD 188.00
ISBN 9789027274427 | EUR 125.00 | USD 188.00
By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.
[Not in series, 35]  1987.  ix, 401 pp.
Publishing status: Available
Table of Contents
Names and Addresses of Contributors
Alexis Manaster-Ramer
Computational Complexity, Mathematical Linguistics, and Linguistic Theory
Robert C. Berwick
Exceptions to Generic Generalizations
Greg N. Carlson
The Structure Underlying a Semantic Domain
Anthony R. Davis and George Papcun
Binary Rules and Non-Binary Trees: Breaking Down the Concept of Phrase Structure
Karen Jensen
An Introduction to Tree Adjoining Grammar
Aravind K. Joshi
The Notion ‘Rule of Grammar’ Reconsidered
Michael B. Kac
Unbounded Dependencies and Subjacency in a Tree Adjoining Grammar
Anthony S. Kroch
A Topological Approach to Structural Equivalence of Formal Languages
S.-Y. Kuroda
On the Design of Finite Transducers for Parsing Phrase-Structure Languages
D. Terence Langendoen and Yedidyah Langsam
Graphs and Grammars
William Marsh
Discontinuity and Phrase Structure Grammar
Almerindo E. Ojedo
Sources of Intractability in GPSG Theory
Eric Sven Ristad
Formal Properties of Head Grammars
Kelly Roach
Finding Natural Languages a Home in Formal Language Theory
William C. Rounds, Alexis Manaster-Ramer and Joyce Friedman
Theories of Language Learnability
Walter J. Savitch
Remarks on Linguistic Semantics
Richmond H. Thomason
On the Progression from Context-Free to Tree Adjoining Languages
K. Vijay-Shanker, David J. Weir and Aravind K. Joshi
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BIC Subject: CF – Linguistics
BISAC Subject: LAN009000 – LANGUAGE ARTS & DISCIPLINES / Linguistics / General
U.S. Library of Congress Control Number:  87009183 | Marc record