Algebraic Theory Of Machines Languages And Semi Groups
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Algebraic Theory Of Machines Languages And Semi Groups
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Author : Kenneth Krohn
language : en
Publisher:
Release Date : 1968
Algebraic Theory Of Machines Languages And Semi Groups written by Kenneth Krohn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Computers categories.
The book is an integrated exposition of the algebraic, and especially semigroup-theoretic, approach to machines and languages. It is designed to carry the reader from the elementary theory all the way to hitherto unpublished research results.
Algebraic Theory Of Machines Languages And Semigroups
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Author : Michael A. Arbib
language : en
Publisher:
Release Date : 1968
Algebraic Theory Of Machines Languages And Semigroups written by Michael A. Arbib and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Automatizacion categories.
Algebraic Theory Of Automata Networks
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Author : Pal Domosi
language : en
Publisher: SIAM
Release Date : 2005-01-01
Algebraic Theory Of Automata Networks written by Pal Domosi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others.
Semigroups Algorithms Automata And Languages
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Author : Gracinda M S Gomes
language : en
Publisher: World Scientific
Release Date : 2002-11-26
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 2002-11-26 with Mathematics categories.
The thematic term on “Semigroups, Algorithms, Automata and Languages” organized at the International Centre of Mathematics (Coimbra, Portugal) in May–July 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 Thérien)Decidability Problems in Finite Semigroups (P G Trotter)and other papers Readership: Researchers, academics and graduate students in pure mathematics and computer science. Keywords:
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. Contents:Finite Universal Algebra:Elements of Universal AlgebraOrder and TopologyFinite AlgebrasDecidabilityFinite Semigroups and Monoids:PreliminariesPermutativityOperators Relating Semigroups and MonoidsSemigroups Whose Regular D-Classes are SubsemigroupsThe JoinThe Semidirect ProductThe PowerFactorization of Implicit OperationsOpen Problems Readership: Mathematicians and computer scientists. keywords:Inite Semigroups;Finite Monoids;Universal Algebra;Recognizable Languages;Pseudovarieties;Pseudoidentities;Implicit Operations;Relatively Free Profinite Semigroups;Semidirect Products;Power Semigroups “This book is devoted to an exciting new field where author has made important contributions, and thus it is a most welcome addition to the existing literature. It will find its place on the bookshelves of many a specialist in semigroups, as well as species of algebraists and computer scientists, including graduate students.” Semigroup Forum “The book … constitutes an important contribution to the most active part of the present theory of finite semigroups. All overwhelming majority of the results included in it is very new and has been scattered over journals so far. The book does not cover all of the theory of semigroup … but it is extremely rich in material and ideas presented with skill and dedication. The book has already influenced the area essentially, and its influence will certainly grow … I think the book is a must for researchers in the area but it is also very useful for all those who want to trace modern developments in the theory of semigroups.” Mathematics Abstracts
Structural Theory Of Automata Semigroups And Universal Algebra
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Author : Valery B. Kudryavtsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-18
Structural Theory Of Automata Semigroups And Universal Algebra written by Valery B. Kudryavtsev 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 2006-01-18 with Mathematics categories.
Semigroups, Automata, Universal Algebra, Varieties
Algebraic And Structural Automata Theory
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Author : B. Mikolajczak
language : en
Publisher: Elsevier
Release Date : 1991-01-14
Algebraic And Structural Automata Theory written by B. Mikolajczak and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-14 with Mathematics categories.
Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development. The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups. Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.
Semigroups And Combinatorial Applications
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Author : Gerard Lallement
language : en
Publisher: John Wiley & Sons
Release Date : 1979
Semigroups And Combinatorial Applications written by Gerard Lallement and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
The purpose of this book is to present those parts of the theory of semigroups that are directly related to automata theory, algebraic linguistics, and combinatorics. Publications in these mathematical disciplines contained methods and results pertaining to the algebraic theory of semigroups, and this has contributed to considerable enrichment of the theory, enlargement of its scope, and improved its potential to become a major domain of algebra. Semigroup theory appears to provide a general framework for unifying and clarifying a number of topics in fields that at first sight appear unrelated. This book is intended as a textbook for graduate students in mathematics and computer science, and as a reference book for researchers interested in associative structures.
Finite Automata
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Author : Mark V. Lawson
language : en
Publisher: CRC Press
Release Date : 2003-09-17
Finite Automata written by Mark V. Lawson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-17 with Mathematics categories.
Interest in finite automata theory continues to grow, not only because of its applications in computer science, but also because of more recent applications in mathematics, particularly group theory and symbolic dynamics. The subject itself lies on the boundaries of mathematics and computer science, and with a balanced approach that does justice to both aspects, this book provides a well-motivated introduction to the mathematical theory of finite automata. The first half of Finite Automata focuses on the computer science side of the theory and culminates in Kleene's Theorem, which the author proves in a variety of ways to suit both computer scientists and mathematicians. In the second half, the focus shifts to the mathematical side of the theory and constructing an algebraic approach to languages. Here the author proves two main results: Schützenberger's Theorem on star-free languages and the variety theorem of Eilenberg and Schützenberger. Accessible even to students with only a basic knowledge of discrete mathematics, this treatment develops the underlying algebra gently but rigorously, and nearly 200 exercises reinforce the concepts. Whether your students' interests lie in computer science or mathematics, the well organized and flexible presentation of Finite Automata provides a route to understanding that you can tailor to their particular tastes and abilities.
Algebraic Theory Of Automata
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Author : Abraham Ginzburg
language : en
Publisher: Academic Press
Release Date : 2014-06-25
Algebraic Theory Of Automata written by Abraham Ginzburg and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-25 with Technology & Engineering categories.
Algebraic Theory of Automata provides information pertinent to the methods and results of algebraic theory of automata. This book covers a variety of topics, including sets, semigroup, groupoids, isomorphism, semiautomata, proof of Kleene's theorem, and algebraic manipulations. Organized into seven chapters, this book begins with an overview of the fundamental properties of groups and semigroups. This text then examines the notion of semiautomaton, which serves as a basis for a rich and interesting theory. Other chapters consider algebraic notions and methods that are very useful in dealing with semiautomata. This book discusses as well some properties of the notion of covering of semiautomata. The final chapter deals with the theory of Krohn and Rhodes. This book is a valuable resource for graduate students.