An Introduction to Formal Language Theory

Overview

This voume combines An Introduction to Formal Language Theory with issues in computational linguistics. The book begins with standard formal language material, including a discussion of regular, context-free, context sensitive, and arbitrary phrase stucture languages. This is followed by a discussion of the corresponding families of automata: finite-state, push-down, linear bounded and Turing machines. Important topics introduced along the way include closure properties, normal forms, nondeterminism, basic ...
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Paperback (Softcover reprint of the original 1st ed. 1988)
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Overview

This voume combines An Introduction to Formal Language Theory with issues in computational linguistics. The book begins with standard formal language material, including a discussion of regular, context-free, context sensitive, and arbitrary phrase stucture languages. This is followed by a discussion of the corresponding families of automata: finite-state, push-down, linear bounded and Turing machines. Important topics introduced along the way include closure properties, normal forms, nondeterminism, basic parsing algorithms, and the theory of computability and undecidability. Special emphasis is given to the role of algebraic techniques in formal language theory through a chapter devoted to the fixed point approach to the analysis of context-free languages. Advanced topics in parsing are also emphasized in an unusually clear and precise presentation. A unique feature of the book is the two chapter introduction to the formal theory of natural languages. Alternative schemes for representing natural language are discussed, in particular ATNs and GPSG. This book is part of the AKM Series in Theoretical Computer Science. "A Basis for Theoretical Computer Science", also in the series, should provide the necessary background for this volume intended to serve as a text for upper undergraduate and graduate level students.
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Product Details

Table of Contents

1 Introduction.- 1.1 The First Language.- 1.2 Grammers and Languages.- 1.3 Context-Free and Context-Sensitive Languages.- 1.4 Programs, Languages, and Parsing.- 1.5 Context-Free Grammars and Natural Language.- 2 Grammars and Machines.- 2.1 The Chomsky Hierarchy.- 2.2 Closure Properties.- 2.3 Regular and Finite-State Languages.- 3 Push-Down Automata and Context-Free Grammars.- 3.1 Push-Down Automata.- 3.2 Normal Forms for Context-Free Grammars.- 3.3 The Equivalence Theorem.- 4 Parsing, Part 1.- 4.1 The Cocke-Kasami-Younger Algorithm.- 4.2 Earley’s Algorithm.- 5 Turing Machines and Language Theory.- 5.1 Turing Machines.- 5.2 The Universal Turing Machine.- 5.3 Nondeterministic Turing Machines and Linear Bounded Automata.- 5.4 The Halting Problem and Undecidability.- 6 Fixed Point Principles in Language Theory.- 6.1 Partial Orders and Fixed Points.- 6.2 Fixed Point Theory and Context-Free Languages.- 7 Parsing, Part II.- 7.1 Top-Down Parsing and LL Grammars.- 7.2 Bottom-Up Parsing and LR Grammars.- 8 The Formal Description of Natural Languages.- 8.1 The Aims of Linguistic Theory.- 8.2 The Generative Power of Natural Languages.- 8.3 Augmented Transition Networks.- 9 Recent Approaches to Linguistic Theory.- 9.1 Beyond Unrestricted Phrase Structure Formalisms.- 9.2 Generalized Phrase Structure Grammars.- 9.3 Government and Binding Theory.- References for Chapters 8 and 9.- Symbol Index.- Author Index.
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