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9780471718314

Grammars With Context Conditions And Their Applications

by ; ;
  • ISBN13:

    9780471718314

  • ISBN10:

    0471718319

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2005-06-07
  • Publisher: Wiley-Interscience

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Summary

The essential guide to grammars with context conditions This advanced computer science book systematically and compactly summarizes the current knowledge about grammars with context conditions-an important area of formal language theory. According to the types of context conditions, this self-contained reference classifies them into grammars with context conditions placed on the domains of grammatical derivations, the use of grammatical productions, and the neighborhood of the rewritten symbols. The focus is on grammatical generative power, important properties, simplification, reduction, implementation, and applications, most of which are related to microbiology. The text features: * Up-to-date coverage of grammatical concepts based on context conditions * Self-contained explanations without assumption of any previous knowledge * Clear definitions and exact proofs preceded by intuitive explanations * Numerous easy-to-implement grammatical transformations * Realistic applications * Relation to mathematics, linguistics, and biology * Additional material and information about the book available on accompanying Web site (see preface for details) Practitioners and advanced students in theoretical computer science and related areas- including mathematics, linguistics, and molecular biology-will find Grammars with Context Conditions and Their Applications an essential reference for this cutting-edge area of formal language theory.

Author Biography

ALEXANDER MEDUNA, Associate Professor of Computer Science at the Brno University of Technology, received his PhD from Brno University in 1988. He has taught theoretical computer science at various European and American universities, including the University of Missouri, where he spent a decade teaching advanced topics of formal language theory. He is the author of Automata and Languages and over sixty papers related to the subject of this book.

MARTIN SVEC received his PhD from the Brno University of Technology in 2005, where Alexander Meduna was his PhD advisor. In cooperation with his advisor, he has published several papers on grammars with context conditions.

Table of Contents

Preface ix
Acknowledgments ix
1 Introduction 1(4)
2 Preliminaries and Definitions 5(10)
2.1 Basic Definitions
5(3)
2.2 Grammars
8(7)
3 Conditions Placed on Derivation Domains 15(18)
3.1 Sequential Grammars over Word Monoids
15(9)
3.2 Parallel Grammars over Word Monoids
24(9)
4 Conditions Placed on the Use of Productions 33(104)
4.1 Sequential Conditional Grammars
33(58)
4.1.1 Context-Conditional Grammars
33(7)
4.1.2 Random-Context Grammars
40(4)
4.1.3 Generalized Forbidding Grammars
44(14)
4.1.4 Semi-conditional Grammars
58(4)
4.1.5 Simple Semi-conditional Grammars
62(29)
4.2 Parallel Conditional Grammars
91(40)
4.2.1 Context-Conditional ETOL Grammars
91(7)
4.2.2 Forbidding ETOL Grammars
98(20)
4.2.3 Simple Semi-conditional ETOL Grammars
118(13)
4.3 Global Context Conditional Grammars
131(6)
5 Conditions Placed on the Neighborhood of Rewritten Symbols 137(32)
5.1 Continuous Context
137(12)
5.1.1 Sequential Uniform Rewriting
138(7)
5.1.2 Parallel Uniform Rewriting
145(4)
5.2 Scattered Context
149(20)
5.2.1 Scattered Context Grammars and Their Reduction
150(12)
5.2.2 Semi-parallel Uniform Rewriting
162(7)
6 Grammatical Transformations and Derivation Simulations 169(16)
6.1 Derivation Simulation
169(6)
6.2 Grammatical Simulation
175(2)
6.3 Simulation of E(0, 1)L Grammars
177(8)
7 Applications and Implementation 185(14)
7.1 Applications
185(7)
7.2 Implementation
192(7)
8 Concluding and Bibliographical Notes 199(2)
Bibliography 201(12)
Denotations of Language Families 213(2)
Subject Index 215

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