Algebraic Theory Of Automata Networks
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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.
This book investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories.
Algebraic Theory Of Automata And Languages
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Author : Masami It?
language : en
Publisher: World Scientific
Release Date : 2004
Algebraic Theory Of Automata And Languages written by Masami It? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics. The topics in the present book are rather different. For example, automorphism groups of automata and the partially ordered sets of automata are systematically discussed. Moreover, some operations on languages and special classes of regular languages associated with deterministic and nondeterministic directable automata are dealt with. The book is self-contained and hence does not require any knowledge of automata and formal languages.
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.
Network Algebra
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Author : Gheorghe Stefanescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Network Algebra written by Gheorghe Stefanescu 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.
Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.
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.
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.
Algebraic Theory Of Automata
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Author : F. Gécseg
language : en
Publisher:
Release Date : 1972
Algebraic Theory Of Automata written by F. Gécseg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Computers categories.
Applications Of Automata Theory And Algebra
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Author : John L. Rhodes
language : en
Publisher: World Scientific
Release Date : 2010
Applications Of Automata Theory And Algebra written by John L. Rhodes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup theory, automata and sequential machine theory, finite phase space physics, metabolic and evolutionary biology, epistemology, mathematical theory of psychoanalysis, philosophy, and game theory. The author thus introduced a completely original algebraic approach to complexity and the understanding of finite systems. The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available in print until now. This first published edition has been edited and updated by Chrystopher Nehaniv for the 21st century. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science and engineering. Co-founded by John Rhodes and Kenneth Krohn in 1962, algebraic automata theory has grown into a vibrant area of research, including the complexity of automata, and semigroups and machines from an algebraic viewpoint, and which also touches on infinite groups, and other areas of algebra. This book sets the stage for the application of algebraic automata theory to areas outside mathematics. The material and references have been brought up to date bythe editor as much as possible, yet the book retains its distinct character and the bold yet rigorous style of the author. Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of biological reactions and pathways; the relationships among coordinate systems, symmetry, and conservation principles in physics; discussion of "punctuated equilibrium" (prior to Stephen Jay Gould); games; and applications to psychology, psychoanalysis, epistemology, and the purpose of life. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering. Moreover, many parts of the book will be intelligible to non-mathematicians, including students and experts from diverse backgrounds.
The Algebraic Theory Of Switching Circuits
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Author : Gr. C. Moisil
language : en
Publisher: Elsevier
Release Date : 2014-07-10
The Algebraic Theory Of Switching Circuits written by Gr. C. Moisil and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Technology & Engineering categories.
The Algebraic Theory of Switching Circuits covers the application of various algebraic tools to the delineation of the algebraic theory of switching circuits for automation with contacts and relays. This book is organized into five parts encompassing 31 chapters. Part I deals with the principles and application of Boolean algebra and the theory of finite fields (Galois fields). Part II emphasizes the importance of the sequential operation of the automata and the variables associated to the current and to the contacts. This part also tackles the recurrence relations that describe operations of the network and the principles of the so-called characteristic equations. Part III reviews the study of networks with secondary elements other than ordinary relays, while Part IV focuses on the fundamentals and application of multi-position contacts. Part V considers several topics related to circuit with electronic elements, including triodes, pentodes, transistors, and cryotrons. This book will be of great value to practicing engineers, mathematicians, and workers in the field of computers.
Network Algebra
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Author : Gheorghe G Stefanescu
language : en
Publisher:
Release Date : 1999-08-01
Network Algebra written by Gheorghe G Stefanescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-01 with categories.
This book is devoted to a general, algebraic study of networks and their behavior. The term "network" is used in a broad sense here as consisting in a collection of interconnecting cells. Two radically different particular interpretations of this enlarged notion of networks are studied in more details. Virtual networks are obtained using the Cantorian interpretation in which at most one cell is active at a given time. With this interpretation, Network Algebra covers the classical models of control, including infinite automata or flowchart schemes. In a second Cartesian interpretation, each cell is always active, hence models for reactive and concurrent systems as Petri nets or dataflow networks may be covered as well. Points to a more advanced research setting which mixes the above interpretations are included. The results are presented in the unified framework of the calculus of flownomials (an abstract calculus very similar to the classical calculus of polynomials). After their introduction in the context of control-flow charts setting (Stefanescu, 1986), the Basic Network Algebra axioms were rediscovered in various fields ranging from circuit theory to action calculi, from dataflow networks to knot theory (traced monoidal categories), from process graphs to functional progamming. The book is suited for use as teaching material for graduate students as well as for more advanced material for researchers.