Structure of Language and Its Mathematical Aspects

Structure of Language and Its Mathematical Aspects PDF Author:
Publisher: American Mathematical Soc.
ISBN: 0821813129
Category : Language and languages
Languages : en
Pages : 288

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Structure of Language and Its Mathematical Aspects

Structure of Language and Its Mathematical Aspects PDF Author:
Publisher: American Mathematical Soc.
ISBN: 0821813129
Category : Language and languages
Languages : en
Pages : 288

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Book Description


Syntactic Structures

Syntactic Structures PDF Author: Noam Chomsky
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112316002
Category : Language Arts & Disciplines
Languages : en
Pages : 120

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No detailed description available for "Syntactic Structures".

Structure of Language and Its Mathematical Aspects

Structure of Language and Its Mathematical Aspects PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821867259
Category : Language and languages
Languages : en
Pages : 279

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Book Description


Mathematical Structures in Language

Mathematical Structures in Language PDF Author: Edward Louis Keenan
Publisher: Lecture Notes
ISBN: 9781575868479
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description
Mathematical Structures in Languages introduces a number of mathematical concepts that are of interest to the working linguist. The areas covered include basic set theory and logic, formal languages and automata, trees, partial orders, lattices, Boolean structure, generalized quantifier theory, and linguistic invariants, the last drawing on Edward L. Keenan and Edward Stabler's Bare Grammar: A Study of Language Invariants, also published by CSLI Publications. Ideal for advanced undergraduate and graduate students of linguistics, this book contains numerous exercises and will be a valuable resource for courses on mathematical topics in linguistics. The product of many years of teaching, Mathematic Structures in Languages is very much a book to be read and learned from.

Categorial Grammars and Natural Language Structures

Categorial Grammars and Natural Language Structures PDF Author: Richard T. Oehrle
Publisher: Springer Science & Business Media
ISBN: 9401568782
Category : Philosophy
Languages : en
Pages : 524

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Book Description
For the most part, the papers collected in this volume stern from presentations given at a conference held in Tucson over the weekend of May 31 through June 2, 1985. We wish to record our gratitude to the participants in that conference, as well as to the National Science Foundation (Grant No. BNS-8418916) and the University of Arizona SBS Research Institute for their financial support. The advice we received from Susan Steele on organizational matters proved invaluable and had many felicitous consequences for the success of the con ference. We also would like to thank the staff of the Departments of Linguistics of the University of Arizona and the University of Massachusetts at Amherst for their help, as weIl as a number of individuals, including Lin Hall, Kathy Todd, and Jiazhen Hu, Sandra Fulmer, Maria Sandoval, Natsuko Tsujimura, Stuart Davis, Mark Lewis, Robin Schafer, Shi Zhang, Olivia Oehrle-Steele, and Paul Saka. Finally, we would like to express our gratitude to Martin Scrivener, our editor, for his patience and his encouragement. Vll INTRODUCTION The term 'categorial grammar' was introduced by Bar-Rillel (1964, page 99) as a handy way of grouping together some of his own earlier work (1953) and the work of the Polish logicians and philosophers Lesniewski (1929) and Ajdukiewicz (1935), in contrast to approaches to linguistic analysis based on phrase structure grammars.

Algebraic Linguistics; Analytical Models by Solomon Marcus

Algebraic Linguistics; Analytical Models by Solomon Marcus PDF Author:
Publisher: Elsevier
ISBN: 0080955363
Category : Mathematics
Languages : en
Pages : 269

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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Structure of language and its mathematical aspects

Structure of language and its mathematical aspects PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 279

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Book Description


Elements of Mathematical Linguistics

Elements of Mathematical Linguistics PDF Author: Alexej V. Gladkij
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110810808
Category : Language Arts & Disciplines
Languages : en
Pages : 268

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Book Description


Handbook of Logic and Language

Handbook of Logic and Language PDF Author: J. van Benthem
Publisher: Elsevier
ISBN: 044481714X
Category : Computers
Languages : en
Pages : 1274

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Book Description
This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.

Formal Grammars in Linguistics and Psycholinguistics

Formal Grammars in Linguistics and Psycholinguistics PDF Author: Willem J.M. Levelt
Publisher: John Benjamins Publishing
ISBN: 9027290067
Category : Language Arts & Disciplines
Languages : en
Pages : 594

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Book Description
Almost four decades have passed since Formal Grammars first appeared in 1974. At that time it was still possible to rather comprehensively review for (psycho)linguists the relevant literature on the theory of formal languages and automata, on their applications in linguistic theory and in the psychology of language. That is no longer feasible. In all three areas developments have been substantial, if not breathtaking. Nowadays, an interested linguist or psycholinguist opening any text on formal languages can no longer see the wood for the trees, as it is by no means evident which formal, mathematical tools are really required for natural language applications. An historical perspective can be helpful here. There are paths through the wood that have been beaten since decades; they can still provide useful orientation. The origins of these paths can be traced in the three volumes of Formal Grammars, brought together in the present re-edition. In a newly added postscript the author has sketched what has become, after all these years, of formal grammars in linguistics and psycholinguistics, or at least some of the core developments. This chapter may provide further motivation for the reader to make a trip back to some of the historical sources.