Algebraic Automata Theory


Algebraic Automata Theory
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Algebraic And Structural Automata Theory


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.



Applications Of Automata Theory And Algebra


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 The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers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.



Algebraic Automata Theory


Algebraic Automata Theory
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Author : M. Holcombe
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03

Algebraic Automata Theory written by M. Holcombe and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Computers categories.


Original publisher: Washington, DC: U.S. Dept. of Transportation, Federal Aviation Administration, Office of Aerospace Medicine, 2003] OCLC Number: (OCoLC)74267777 Subject: Airplanes -- Cockpits. Excerpt: ... -9 +-5; * /- (-8 89 @ 9 @ 2: BGH9 @ > BD9D; 9 @: > C9 D2 D286 ? 7 @: 8 2CC: CD2 > 46 D? 4? = @ D6B7246 D2C; C # &-? I 1.94 * 7 + 492 > 86 D? ., 0 = 2 @ 5: C @ ? + B6 =? F6 9: 89 2 86 = 2 @ 5: C @ ? BD9 " E @ D? DB24; " E @ * 6 = 3?; 9 + C6 5 ? F6B * 9; + 05 / + C6D -/ 1 D?: > D6B46 @ D 2CC: 8 > 65 B25: 2 C6BD 2CC: 8 > 65: > D6BC64D: ? > > D? 7 7? B 9? 8 @ B? 465EB6 *: -; 03, + C6 65 ? ED3? E > 5 B25: 2 8 @ B? 465EB6 * 03,15 + C6D: > 3? E > 5 B25: 2 4: > 8 * 3, * 77 + D6B D96 2 2D6 2: B @? BD: > D? D96 7 * 3, * 77 + 2D6 2: B @? BD # of levels within Flight Task showed that the last four tasks Figure 9 shows the root-mean-square cross-track error, were judged to have produced significantly higher workload by display type, for three flight segments. The inbound than the first three tasks, t ( 15...



Algebraic Theory Of Automata


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.



Algebraic Theory Of Automata And Languages


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.



Applications Of Automata Theory And Algebra


Applications Of Automata Theory And Algebra
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Author : John Rhodes
language : en
Publisher:
Release Date : 2009

Applications Of Automata Theory And Algebra written by John Rhodes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.




Elements Of Automata Theory


Elements Of Automata Theory
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Author : Jacques Sakarovitch
language : en
Publisher: Cambridge University Press
Release Date : 2009-10-01

Elements Of Automata Theory written by Jacques Sakarovitch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-01 with Mathematics categories.


Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.



Algebraic Theory Of Automata Networks


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.



Automata And Algebras In Categories


Automata And Algebras In Categories
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Author : Jirí Adámek
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-08-31

Automata And Algebras In Categories written by Jirí Adámek 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 1990-08-31 with Mathematics categories.


Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl



Automata Formal Languages And Algebraic Systems


Automata Formal Languages And Algebraic Systems
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Author : Masami Ito
language : en
Publisher: World Scientific
Release Date : 2010

Automata Formal Languages And Algebraic Systems written by Masami Ito 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 volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.