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Grammars with Context Conditions and Their Applications

Alexander Meduna (Author), Martin Švec (Author)

9780471718314, Wiley

Hardback, published 1 July 2005

240 pages
25.9 x 18.5 x 2 cm, 0.612 kg

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.

Preface ix
Acknowledgments ix

1. Introduction 1

2. Preliminaries and Definitions 2
2.1 Basic Definitions 5
2.2 Grammars 8

3. Conditions Placed on Derivation Domains 15
3.1 Sequential Grammars over Word Monoids 15
3.2 Parallel Grammars over Word Monoids 24

4. Conditions Placed on the Use of Productions 33
4.1 Sequential Conditional Grammars 31
4.2 Parallel Conditional Grammars 91
4.3 Global Context Conditional Grammars 131

5. Conditions Placed on the Neighborhood of Rewritten Symbols 137
5.1 Continuous Context 137
5.2 Scattered Context 149

6. Grammatical Transformations and Derivation Simulations 169
6.1 Derivation Simulation 169
6.2 Grammatical Simulation 175
6.3 Simulation of E(0,1)L Grammars 177

7. Applications and Implementations 185
7.1 Applications 185
7.2 Implementation 192

8. Concluding and Bibliographical Notes 199

Bibliography 201
Denotations of Language Families 213
Subject Index 215

Subject Areas: Electronics & communications engineering [TJ]

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