Global Sequential Coordinates On Semigroups Automata And Infinite Groups
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Global Sequential Coordinates On Semigroups Automata And Infinite Groups
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Author : Chrystopher Lev Nehaniv
language : en
Publisher:
Release Date : 1992
Global Sequential Coordinates On Semigroups Automata And Infinite Groups written by Chrystopher Lev Nehaniv and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with 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.
Algebraic Engineering Proceedings Of The First International Conference On Semigroups And Algebraic Eng And Workshop On For
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Author : Chrystopher L Nehaniv
language : en
Publisher: World Scientific
Release Date : 1999-05-14
Algebraic Engineering Proceedings Of The First International Conference On Semigroups And Algebraic Eng And Workshop On For written by Chrystopher L Nehaniv and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-14 with Mathematics categories.
There is algebraic structure in time, computation and biological systems. Algebraic engineering exploits this structure to achieve better understanding and design. In this book, pure and applied results in semigroups, language theory and algebra are applied to areas ranging from circuit design to software engineering to biological evolution.
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.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 1995
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Dissertations, Academic categories.
Applications Of Automata Theory And Algebra Via The Mathematical Theory Of Complexity To Biology Physics Psychology Philosophy And Games
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Author : John Rhodes
language : en
Publisher: World Scientific
Release Date : 2009-09-03
Applications Of Automata Theory And Algebra Via The Mathematical Theory Of Complexity To Biology Physics Psychology Philosophy And Games written by John 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 2009-09-03 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 by the 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. remove /a
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1970
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Aeronautics categories.
Self Similar Groups
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Author : Volodymyr Nekrashevych
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Self Similar Groups written by Volodymyr Nekrashevych 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 2005 with Mathematics categories.
Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians.
Proceedings Second International Conference On Cognitive Technology
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Author : Jonathon P. Marsh
language : en
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Release Date : 1997
Proceedings Second International Conference On Cognitive Technology written by Jonathon P. Marsh and has been published by Institute of Electrical & Electronics Engineers(IEEE) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
This volume is a compilation of the proceedings of the second international conference on cognitive technology, held in 1997.
Sequences Groups And Number Theory
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Author : Valérie Berthé
language : en
Publisher: Birkhäuser
Release Date : 2018-04-09
Sequences Groups And Number Theory written by Valérie Berthé and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with Mathematics categories.
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.