Semigroups And Formal Languages
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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.
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
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Author : Jorge M. Andre
language : en
Publisher: World Scientific
Release Date : 2007
Semigroups And Formal Languages written by Jorge M. Andre 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 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.
Semigroups And Formal Languages
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Author : Jorge M. Andr
language : en
Publisher: World Scientific
Release Date : 2007
Semigroups And Formal Languages written by Jorge M. Andr 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 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.
Varieties Of Formal Languages
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Author : Jean Eric Pin
language : en
Publisher:
Release Date : 1986
Varieties Of Formal Languages written by Jean Eric Pin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computers categories.
Semigroups Algebraic Theory And Applications To Formal Languages And Codes
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Author : Celestina Bonzini
language : en
Publisher: World Scientific
Release Date : 1993-10-29
Semigroups Algebraic Theory And Applications To Formal Languages And Codes written by Celestina Bonzini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-29 with categories.
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 Formal Languages And Groups
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Author : J.B. Fountain
language : en
Publisher: Springer
Release Date : 1995-06-14
Semigroups Formal Languages And Groups written by J.B. Fountain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-14 with Mathematics categories.
This volume presents the core of invited expository lectures given at the 1993 NATO ASI held at the University of York. The subject matter of the ASI was the interplay between automata, semigroups, formal languages and groups. The invited talks were of an introductory nature but at a high level and many reached the cutting edge of research in the area. The lectures were given to a mixed group of students and specialists and were designed to be accessible to a broad audience. The papers were written in a similar spirit in the hope that their readership will be as wide as possible. With one exception they are all based on the talks which the lecturers gave at the meeting. The exception is caused by the fact that due to unanticipated progress the topic of John Rhodes' talk is now in such a state of flux that it has not been possible to produce a paper giving a clear picture of the situation. However, we do include an article by a member of the "Rhodes school" , namely Christopher Nehaniv, expanding on a contributed talk he gave. It generalizes the celebrated Krohn-Rhodes theorem for finite semigroups to all semigroups. For many years there has been a strong link between formal language theory and the theory of semigroups. Each subject continues to influence the other.
Semigroups Algorithms Automata And Languages
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Author : Gracinda M. S. Gomes
language : en
Publisher: World Scientific
Release Date : 2002
Semigroups Algorithms Automata And Languages 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 2002 with Mathematics categories.
The thematic term on OC Semigroups, Algorithms, Automata and LanguagesOCO organized at the International Centre of Mathematics (Coimbra, Portugal) in MayOCoJuly 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science. This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included. Contents: Finite Semigroups: An Introduction to a Unified Theory of Pseudovarieties (J Almeida); On Existence Varieties of Regular Semigroups (K Auinger); Varieties of Languages (M J J Branco); A Short Introduction to Automatic Group Theory (C Choffrut); Some Results on Semigroup-Graded Rings (W D Munn); Profinite Groups and Applications to Finite Semigroups (L Ribes); Dynamics of Finite Semigroups (J Almeida); Finite Semigroups Imposing Tractable Constraints (A Bulatov et al.); On the Efficiency and Deficiency of Rees Matrix Semigroups (C M Campbell et al.); Some Pseudovariety Joins Involving Groups and Locally Trivial Semigroups (J C Costa); Partial Action of Groups on Relational Structures: A Connection Between Model Theory and Profinite Topology (T Coulbois); Some Relatives of Automatic and Hyperbolic Groups (M Hoffmann et al.); A Sampler of a Topological Approach to Inverse Semigroups (B Steinberg); Finite Semigroups and the Logical Description of Regular Languages (H Straubing); Diamonds are Forever: The Variety DA (P Tesson & D Th(r)rien); Decidability Problems in Finite Semigroups (P G Trotter); and other papers. Readership: Researchers, academics and graduate students in pure mathematics and computer science."
Finite Semigroups And Universal Algebra
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Author : Jorge Almeida
language : en
Publisher: World Scientific
Release Date : 1995-01-27
Finite Semigroups And Universal Algebra written by Jorge Almeida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
Semigroups Formal Languages And Groups
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Author : J.B. Fountain
language : en
Publisher: Springer
Release Date : 1995-05-31
Semigroups Formal Languages And Groups written by J.B. Fountain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-31 with Computers categories.
Semigroups, Formal Languages and Groups contains articles that provide introductory accounts of recent research in rational languages and their connections with finite semigroups, including the celebrated BG=PG theorem, infinite languages, free profinite monoids and their applications to pseudovarieties, parallel complexity classes related to automata, semigroups and logic, algebraic monoids, geometric methods in semigroup presentations, automatic groups and groups acting on Lambda-trees. There is also an extensive survey of algorithmic problems in groups, semigroups and inverse monoids. In addition, the book includes hitherto unpublished research on monoids of Lie type and their representations, free actions of groups on Lambda-trees and an extension to arbitrary semigroups of the famous Krohn-Rhodes theorem.