Finiteness And Regularity In Semigroups And Formal Languages
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Finiteness And Regularity In Semigroups And Formal Languages
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Author : Aldo de Luca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finiteness And Regularity In Semigroups And Formal Languages written by Aldo de Luca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The aim of this monograph is to present some recent research work on the combinatorial aspects of the theory of semigroups which are of great inter est for both algebra and theoretical computer science. This research mainly concerns that part of combinatorics of finite and infinite words over a finite alphabet which is usually called the theory of "unavoidable" regularities. The unavoidable regularities ofsufficiently large words over a finite alpha bet are very important in the study of finiteness conditions for semigroups. This problem consists in considering conditions which are satisfied by a fi nite semigroup and are such as to assure that a semigroup satisfying them is finite. The most natural requirement is that the semigroup is finitely gener ated. Ifone supposes that the semigroup is also periodic the study offiniteness conditions for these semigroups (or groups) is called the Burnside problem for semigroups (or groups). There exists an important relationship with the theory of finite automata because, as is well known, a language L over a fi nite alphabet is regular (that is, recognizable by a finite automaton) if and only if its syntactic monoid S(L) is finite. Hence, in principle, any finite ness condition for semigroups can be translated into a regularity condition for languages. The study of finiteness conditions for periodic languages (Le. , such that the syntactic semigroup is periodic) has been called the Burnside problem for languages.
Semigroups And Formal Languages Proceedings Of The International Conference
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Author : Gracinda M S Gomes
language : en
Publisher: World Scientific
Release Date : 2007-06-11
Semigroups And Formal Languages Proceedings Of The International Conference written by Gracinda M S Gomes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-11 with Mathematics categories.
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.
Rings With Polynomial Identities And Finite Dimensional Representations Of Algebras
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Author : Eli Aljadeff
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-12-14
Rings With Polynomial Identities And Finite Dimensional Representations Of Algebras written by Eli Aljadeff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-14 with Education categories.
A polynomial identity for an algebra (or a ring) A A is a polynomial in noncommutative variables that vanishes under any evaluation in A A. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley–Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.
Developments In Language Theory
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Author : Zoltán Ésik
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-20
Developments In Language Theory written by Zoltán Ésik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-20 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Developments in Language Theory, DLT 2003, held in Szeged, Hungary, in July 2003. The 27 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 57 submissions. All current aspects in language theory are addressed, in particular grammars, acceptors, and transducers for strings, trees, graphs, arrays, etc; algebraic theories for automata and languages; combinatorial properties of words and languages; formal power series; decision problems; efficient algorithms for automata and languages; and relations to complexity theory and logic, picture description and analysis, DNA computing, quantum computing, cryptography, and concurrency.
Developments In Language Theory
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Author : Oscar H. Ibarra
language : en
Publisher: Springer
Release Date : 2006-06-22
Developments In Language Theory written by Oscar H. Ibarra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-22 with Mathematics categories.
This book constitutes the refereed proceedings of the 10th International Conference on Developments in Language Theory, DLT 2006, held in Santa Barbara, CA, June 2006. The book presents 36 revised full papers together with 4 invited papers. All important issues in language theory are addressed including grammars, acceptors and transducers for strings, trees, graphs, arrays; efficient text algorithms; algebraic theories for automata and languages; and more.
Developments In Language Theory
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Author : Volker Diekert
language : en
Publisher: Springer Nature
Release Date : 2022-05-08
Developments In Language Theory written by Volker Diekert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-08 with Computers categories.
This book constitutes the proceedings of the 26th International Conference on Developments in Language Theory, DLT 2022, which was held in Tampa, FL, USA, during May, 2022. The conference took place in an hybrid format with both in-person and online participation. The 21 full papers included in these proceedings were carefully reviewed and selected from 32 submissions. The DLT conference series provides a forum for presenting current developments in formal languages and automata.
The Concise Handbook Of Algebra
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Author : Alexander V. Mikhalev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Concise Handbook Of Algebra written by Alexander V. Mikhalev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.
Handbook Of Formal Languages
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Author : Grzegorz Rozenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Handbook Of Formal Languages written by Grzegorz Rozenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The need for a comprehensive survey-type exposition on formal languages and related mainstream areas of computer science has been evident for some years. If! the early 1970s, when the book Formal Languages by the second quite feasible to write a comprehensive mentioned editor appeared, it was still 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 formal language 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. The theory of formal languages constitutes the stem or backbone of the field of science now generally known as theoretical computer science.
Hiroakira Ono On Substructural Logics
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Author : Nikolaos Galatos
language : en
Publisher: Springer Nature
Release Date : 2021-12-13
Hiroakira Ono On Substructural Logics written by Nikolaos Galatos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Philosophy categories.
This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.
Language And Automata Theory And Applications
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Author : Alberto Leporati
language : en
Publisher: Springer Nature
Release Date : 2020-02-25
Language And Automata Theory And Applications written by Alberto Leporati and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with Computers categories.
This book constitutes the proceedings of the 14th International Conference on Language and Automata Theory and Applications, LATA 2020, which was planned to be held in Milan, Italy, in March 2020. Due to the corona pandemic, the actual conference was postponed and will be held together with LATA 2021. The 26 full papers presented in this volume were carefully reviewed and selected from 59 submissions. They were organized in topical sections named: algebraic structures; automata; complexity; grammars; languages; trees and graphs; and words and codes. The book also contains 6 invited papers in full-paper length.