Grammars with Context Conditions and Their Applications

Description:

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.

 

Table of Contents:

Preface.

Acknowledgments.

1. Introduction.

2. Preliminaries and Definitions.

2.1 Basic Definitions.

2.2 Grammars.

3. Conditions Placed on Derivation Domains.

3.1 Sequential Grammars over Word Monoids.

3.2 Parallel Grammars over Word Monoids.

4. Conditions Placed on the Use of Productions.

4.1 Sequential Conditional Grammars.

4.1.1 Context-Conditional Grammars.

4.1.2 Random-Context Grammars.

4.1.3 Generalized Forbidding Grammars.

4.1.4 Semi-conditional Grammars.

4.1.5 Simple Semi-conditional Grammars.

4.2 Parallel Conditional Grammars.

4.2.1 Context-Conditional ETOL Grammars.

4.2.2 Forbidding ETOL Grammars.

4.2.3 Simple Semi-conditional ETOL Grammars.

4.3 Global Context Conditional Grammars.

5. Conditions Placed on the Neighborhood of Rewritten Symbols.

5.1 Continuous Context.

5.1.1 Sequential Uniform Rewriting.

5.1.2 Parallel Uniform Rewriting.

5.2 Scattered Context.

5.2.1 Scattered Context Grammars and Their Reduction.

5.2.2 Semi-parallel Uniform Rewriting.

6. Grammatical Transformations and Derivation Simulations.

6.1 Derivation Simulation.

6.2 Grammatical Simulation.

6.3 Simulation of E(0,1)L Grammars.

7. Applications and Implementations.

7.1 Applications.

7.2 Implementation.

8. Concluding and Bibliographical Notes.

Bibliography.

Denotations of Language Families.

Subject Index.