Semigroups: Algebraic Theory And Applications To Formal Languages And Codes

Semigroups: Algebraic Theory And Applications To Formal Languages And Codes

Author: Celestina Bonzini

Publisher: World Scientific

Published: 1993-10-29

Total Pages: 350

ISBN-13: 9814552569

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The proceedings present some new topics and techniques of semigroup theory. Papers by leading experts in this theory are collected. Since results on semigroups have naturally been employed in formal languages and codes, the focus is also on these directions.


Semigroups

Semigroups

Author: K. P. Shum

Publisher:

Published: 1998

Total Pages: 392

ISBN-13:

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The first International Conference on Semigroups and its Related Topics, held in Kunming, China, 1995, celebrated the establishment of the Institute of Pure Mathematics at Yunnan University, Kunming. The event attracted mathematicians from around the world, who contributed talks and papers on the new developments of semigroups and its applications. These included topics on algebraic semigroups, combinatorial semigroups, computer languages, codings, and universal algebras. Since the conference, the papers have been re-edited, and in some cases revised, and are now cummulated into this review volume, making it a lasting reference book on the development of Semigroup theory. Some survey articles written by experts in the field, and which were not presented at the conference, are also included in this book.


Automata Theory

Automata Theory

Author: Matthew Simon

Publisher: World Scientific Publishing Company

Published: 1999-04-29

Total Pages: 440

ISBN-13: 9813105399

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This book covers substantially the central ideas of a one semester course in automata theory. It is oriented towards a mathematical perspective that is understandable to non-mathematicians. Comprehension is greatly aided by many examples, especially on the Chomsky — Schützenberger theorem, which is not found in most books in this field. Special attention is given to semiautomata theory: the relationship between semigroups and sequential machines (including Green's relations), Schützenberger's maximal subgroup, von Neumann inverses, wreath products, transducers using matrix notation, shuffle and Kronecker shuffle products. Methods of formal power series, the ambiguity index and linear languages are discussed. Core material includes finite state automata, regular expressions, Kleene's theorem, Chomsky's hierarchy and transformations of grammars. Ambiguous grammars (not limited to context-free grammars) and modal logics are briefly discussed. Turing machine variants with many examples, pushdown automata and their state transition diagrams and parsers, linear-bounded automata/2-PDA and Kuroda normal form are also discussed. A brief study of Lindenmeyer systems is offered as a comparison to the theory of Chomsky.


Semigroups and Formal Languages

Semigroups and Formal Languages

Author: Jorge M. Andre

Publisher: World Scientific

Published: 2007

Total Pages: 288

ISBN-13: 9812708707

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This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.


Semigroups and Formal Languages

Semigroups and Formal Languages

Author: Jorge M. Andr‚

Publisher: World Scientific

Published: 2007

Total Pages: 288

ISBN-13: 9812707387

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This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.


Semigroups, Automata And Languages

Semigroups, Automata And Languages

Author: Jorge Almeida

Publisher: World Scientific

Published: 1996-01-27

Total Pages: 322

ISBN-13: 9814548251

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The conference was a rare occasion for different schools and perspectives to meet in a single event, bringing together researchers interested in semigroups, automata and languages. The proceedings contain both surveys and research reports, which have been carefully refereed. They should be of value to both mathematicians and computer scientists.


Algebraic Engineering - Proceedings Of The First International Conference On Semigroups And Algebraic Eng And Workshop On For

Algebraic Engineering - Proceedings Of The First International Conference On Semigroups And Algebraic Eng And Workshop On For

Author: Chrystopher L Nehaniv

Publisher: World Scientific

Published: 1999-05-14

Total Pages: 586

ISBN-13: 981454423X

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There is algebraic structure in time, computation and biological systems. Algebraic engineering exploits this structure to achieve better understanding and design. In this book, pure and applied results in semigroups, language theory and algebra are applied to areas ranging from circuit design to software engineering to biological evolution.


Semigroups And Formal Languages - Proceedings Of The International Conference

Semigroups And Formal Languages - Proceedings Of The International Conference

Author: Gracinda M S Gomes

Publisher: World Scientific

Published: 2007-06-11

Total Pages: 288

ISBN-13: 9814475270

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This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.