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A Note on Scattered Context Grammars

A Note on Scattered Context Grammars
Author: David L. Milgram
Publisher:
Total Pages: 34
Release: 1971
Genre: Mathematical linguistics
ISBN:

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Scattered context grammars can be regarded as web grammars in which the web is the transitive closure of string. It is an open question whether such grammars are strictly weaker than context-sensitive grammars. The report shows that if 'negative context' is allowed, they are as strong as context-sensitive grammars. Negative context alone appears to be comparable in power to (positive) scattered context, but it has not yet been shown that negative context grammars are strictly weaker than context-sensitive grammars. Unordered (positive or negative) scattered context is apparently even weaker, though still stronger than context-free; in web grammar terms, it corresponds to using the complete (undirected) web. (Author).


Scattered Context Grammars and Their Applications

Scattered Context Grammars and Their Applications
Author: Alexander Meduna
Publisher: WIT Press
Total Pages: 225
Release: 2010
Genre: Computers
ISBN: 1845644263

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This computer science book represents scattered information by formal languages and gives an in-depth discussion of scattered context grammars as formal means that process these languages. It is primarily meant as a monograph on these grammars, which represent an important trend of todays formal language theory. The text maintains a balance between fundamental concepts, theoretical results, and applications of these grammars. From a theoretical viewpoint, it introduces several variants of scattered context grammatical models. Based on these models, it demonstrates the concepts, methods, and techniques employed in handling scattered pieces of information with enough rigors to make them quite clear. It also explains a close relation between the subject of the book and several important mathematical fields, such as algebra and graph theory. From a more practical point of view, this book describes scattered information processing by fundamental information technologies. Throughout this book, several in-depth case studies and examples are carefully presented. Whilst discussing various methods concerning grammatical processing of scattered information, the text illustrates their applications with a focus on applications in linguistics.


On Scattered Context Grammars

On Scattered Context Grammars
Author: Vili Virkkunen
Publisher:
Total Pages: 28
Release: 1973
Genre: Word problems (Mathematics)
ISBN:

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scattered context grammars

scattered context grammars
Author: sheila /hopcroft greibach
Publisher:
Total Pages: 30
Release: 1968
Genre:
ISBN:

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Scattered context grammars are defined and the closure properties of the family of languages generated are considered. This family of languages is contained in the family of context-sensitive languages and contains all languages accepted by linear time nondeterministic Turing machines. (Author).


Fundamentals of Computation Theory

Fundamentals of Computation Theory
Author: Erzsébet Csuhaj-Varjú
Publisher: Springer
Total Pages: 519
Release: 2007-08-28
Genre: Computers
ISBN: 3540742409

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This book features the refereed proceedings of the 16th International Symposium on Fundamentals of Computation Theory. Thirty-nine full papers are presented along with four invited papers. The papers address all current topics in computation theory, including automata and formal languages, design and analysis of algorithms, computational and structural complexity, semantics, logic, circuits and networks, learning theory, and more.


Modern Language Models and Computation

Modern Language Models and Computation
Author: Alexander Meduna
Publisher: Springer
Total Pages: 552
Release: 2017-10-04
Genre: Computers
ISBN: 3319631004

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This textbook gives a systematized and compact summary, providing the most essential types of modern models for languages and computation together with their properties and applications. Most of these models properly reflect and formalize current computational methods, based on parallelism, distribution and cooperation covered in this book. As a result, it allows the user to develop, study, and improve these methods very effectively. This textbook also represents the first systematic treatment of modern language models for computation. It covers all essential theoretical topics concerning them. From a practical viewpoint, it describes various concepts, methods, algorithms, techniques, and software units based upon these models. Based upon them, it describes several applications in biology, linguistics, and computer science. Advanced-level students studying computer science, mathematics, linguistics and biology will find this textbook a valuable resource. Theoreticians, practitioners and researchers working in today’s theory of computation and its applications will also find this book essential as a reference.


Handbook of Formal Languages

Handbook of Formal Languages
Author: Grzegorz Rozenberg
Publisher: Springer Science & Business Media
Total Pages: 564
Release: 1997-02-28
Genre: Computers
ISBN: 9783540606482

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The need for a comprehensive survey-type exposition on formal languages and related mainstream areas of computer science has been evident for some years. In the early 1970s, when the book Formal Languages by the second mentioned editor appeared, it was still quite feasible to write a comprehensive book with that title and include also topics of current research interest. This would not be possible anymore. A standard-sized book on formal languages would either have to stay on a fairly low level or else be specialized and restricted to some narrow sector of the field. The setup becomes drastically different in a collection of contributions, where the best authorities in the world join forces, each of them concentrat ing on their own areas of specialization. The present three-volume Handbook constitutes such a unique collection. In these three volumes we present the current state of the art in formallanguage theory. We were most satisfied with the enthusiastic response given to our request for contributions by specialists representing various subfields. The need for a Handbook of Formal Languages was in many answers expressed in different ways: as an easily accessible his torical reference, a general source of information, an overall course-aid, and a compact collection of material for self-study. We are convinced that the final result will satisfy such various needs.


Regulated Grammars and Automata

Regulated Grammars and Automata
Author: Alexander Meduna
Publisher: Springer
Total Pages: 691
Release: 2014-07-08
Genre: Computers
ISBN: 1493903691

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This is the first book to offer key theoretical topics and terminology concerning regulated grammars and automata. They are the most important language-defining devices that work under controls represented by additional mathematical mechanisms. Key topics include formal language theory, grammatical regulation, grammar systems, erasing rules, parallelism, word monoids, regulated and unregulated automata and control languages. The book explores how the information utilized in computer science is most often represented by formal languages defined by appropriate formal devices. It provides both algorithms and a variety of real-world applications, allowing readers to understand both theoretical concepts and fundamentals. There is a special focus on applications to scientific fields including biology, linguistics and informatics. This book concludes with case studies and future trends for the field. Regulated Grammars and Automata is designed as a reference for researchers and professionals working in computer science and mathematics who deal with language processors. Advanced-level students in computer science and mathematics will also find this book a valuable resource as a secondary textbook or reference.


Grammars with Context Conditions and Their Applications

Grammars with Context Conditions and Their Applications
Author: Alexander Meduna
Publisher: John Wiley & Sons
Total Pages: 232
Release: 2005-08-08
Genre: Computers
ISBN: 0471736554

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The essential guide to grammars with context conditions This advanced computer science book systematically and compactlysummarizes the current knowledge about grammars with contextconditions-an important area of formal language theory. Accordingto the types of context conditions, this self-contained referenceclassifies them into grammars with context conditions placed on thedomains of grammatical derivations, the use of grammaticalproductions, and the neighborhood of the rewritten symbols. Thefocus is on grammatical generative power, important properties,simplification, reduction, implementation, and applications, mostof which are related to microbiology. The text features: * Up-to-date coverage of grammatical concepts based on contextconditions * Self-contained explanations without assumption of any previousknowledge * Clear definitions and exact proofs preceded by intuitiveexplanations * Numerous easy-to-implement grammatical transformations * Realistic applications * Relation to mathematics, linguistics, and biology * Additional material and information about the book available onaccompanying Web site (see preface for details) Practitioners and advanced students in theoretical computer scienceand related areas- including mathematics, linguistics, andmolecular biology-will find Grammars with Context Conditions andTheir Applications an essential reference for this cutting-edgearea of formal language theory.


Marcus Contextual Grammars

Marcus Contextual Grammars
Author: Gheorghe Paun
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2013-04-17
Genre: Computers
ISBN: 9401589690

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Marcus Contextual Grammars is the first monograph to present a class of grammars introduced about three decades ago, based on the fundamental linguistic phenomenon of strings-contexts interplay (selection). Most of the theoretical results obtained so far about the many variants of contextual grammars are presented with emphasis on classes of questions with relevance for applications in the study of natural language syntax: generative powers, descriptive and computational complexity, automata recognition, semilinearity, structure of the generated strings, ambiguity, regulated rewriting, etc. Constant comparison with families of languages in the Chomsky hierarchy is made. Connections with non-linguistic areas are established, such as molecular computing. Audience: Researchers and students in theoretical computer science (formal language theory and automata theory), computational linguistics, mathematical methods in linguistics, and linguists interested in formal models of syntax.