Computation And Construction Universality Of Reversible Cellular Automata

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Theory of Reversible Computing

Author : Kenichi Morita
Publisher : Springer
ISBN 13 : 4431566066
Total Pages : 463 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Theory of Reversible Computing by : Kenichi Morita

Download or read book Theory of Reversible Computing written by Kenichi Morita and published by Springer. This book was released on 2017-11-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes reversible computing from the standpoint of the theory of automata and computing. It investigates how reversibility can be effectively utilized in computing. A reversible computing system is a “backward deterministic” system such that every state of the system has at most one predecessor. Although its definition is very simple, it is closely related to physical reversibility, one of the fundamental microscopic laws of Nature. Authored by the leading scientist on the subject, this book serves as a valuable reference work for anyone working in reversible computation or in automata theory in general. This work deals with various reversible computing models at several different levels, which range from the microscopic to the macroscopic, and aims to clarify how computation can be carried out efficiently and elegantly in these reversible computing models. Because the construction methods are often unique and different from those in the traditional methods, these computing models as well as the design methods provide new insights for future computing systems. Organized bottom-up, the book starts with the lowest scale of reversible logic elements and circuits made from them. This is followed by reversible Turing machines, the most basic computationally universal machines, and some other types of reversible automata such as reversible multi-head automata and reversible counter machines. The text concludes with reversible cellular automata for massively parallel spatiotemporal computation. In order to help the reader have a clear understanding of each model, the presentations of all different models follow a similar pattern: the model is given in full detail, a short informal discussion is held on the role of different elements of the model, and an example with illustrations follows each model.

Reversibility and Universality

Author : Andrew Adamatzky
Publisher : Springer
ISBN 13 : 3319732161
Total Pages : 484 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Reversibility and Universality by : Andrew Adamatzky

Download or read book Reversibility and Universality written by Andrew Adamatzky and published by Springer. This book was released on 2018-02-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Kenichi Morita’s ideas and achievements in theoretical computer science, reversibility and computationally universal mathematical machines. It offers a unique source of information on universality and reversibility in computation and is an indispensable book for computer scientists, mathematicians, physicists and engineers. Morita is renowned for his works on two-dimensional language accepting automata, complexity of Turing machines, universality of cellular automata, regular and context-free array grammars, and undecidability. His high-impact works include findings on parallel generation and parsing of array languages by means of reversible automata, construction of a reversible automaton from Fredkin gates, solving a firing squad synchronization problem in reversible cellular automata, self-reproduction in reversible cellular spaces, universal reversible two-counter machines, solution of nondeterministic polynomial (NP) problems in hyperbolic cellular automata, reversible P-systems, a new universal reversible logic element with memory, and reversibility in asynchronous cellular automata. Kenichi Morita’s achievements in reversibility, universality and theory of computation are celebrated in over twenty high-profile contributions from his colleagues, collaborators, students and friends. The theoretical constructs presented in this book are amazing in their diversity and depth of intellectual insight, addressing: queue automata, hyperbolic cellular automata, Abelian invertible automata, number-conserving cellular automata, Brownian circuits, chemical automata, logical gates implemented via glider collisions, computation in swarm networks, picture arrays, universal reversible counter machines, input-position-restricted models of language acceptors, descriptional complexity and persistence of cellular automata, partitioned cellular automata, firing squad synchronization algorithms, reversible asynchronous automata, reversible simulations of ranking trees, Shor’s factorization algorithms, and power consumption of cellular automata.

Handbook of Natural Computing

Author : Grzegorz Rozenberg
Publisher : Springer
ISBN 13 : 9783540929093
Total Pages : 2052 pages
Book Rating : 4.9/5 (29 download)

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Book Synopsis Handbook of Natural Computing by : Grzegorz Rozenberg

Download or read book Handbook of Natural Computing written by Grzegorz Rozenberg and published by Springer. This book was released on 2012-07-09 with total page 2052 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural Computing is the field of research that investigates both human-designed computing inspired by nature and computing taking place in nature, i.e., it investigates models and computational techniques inspired by nature and also it investigates phenomena taking place in nature in terms of information processing. Examples of the first strand of research covered by the handbook include neural computation inspired by the functioning of the brain; evolutionary computation inspired by Darwinian evolution of species; cellular automata inspired by intercellular communication; swarm intelligence inspired by the behavior of groups of organisms; artificial immune systems inspired by the natural immune system; artificial life systems inspired by the properties of natural life in general; membrane computing inspired by the compartmentalized ways in which cells process information; and amorphous computing inspired by morphogenesis. Other examples of natural-computing paradigms are molecular computing and quantum computing, where the goal is to replace traditional electronic hardware, e.g., by bioware in molecular computing. In molecular computing, data are encoded as biomolecules and then molecular biology tools are used to transform the data, thus performing computations. In quantum computing, one exploits quantum-mechanical phenomena to perform computations and secure communications more efficiently than classical physics and, hence, traditional hardware allows. The second strand of research covered by the handbook, computation taking place in nature, is represented by investigations into, among others, the computational nature of self-assembly, which lies at the core of nanoscience, the computational nature of developmental processes, the computational nature of biochemical reactions, the computational nature of bacterial communication, the computational nature of brain processes, and the systems biology approach to bionetworks where cellular processes are treated in terms of communication and interaction, and, hence, in terms of computation. We are now witnessing exciting interaction between computer science and the natural sciences. While the natural sciences are rapidly absorbing notions, techniques and methodologies intrinsic to information processing, computer science is adapting and extending its traditional notion of computation, and computational techniques, to account for computation taking place in nature around us. Natural Computing is an important catalyst for this two-way interaction, and this handbook is a major record of this important development.

Reversible Computation: Extending Horizons of Computing

Author : Irek Ulidowski
Publisher : Springer Nature
ISBN 13 : 3030473619
Total Pages : 250 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Reversible Computation: Extending Horizons of Computing by : Irek Ulidowski

Download or read book Reversible Computation: Extending Horizons of Computing written by Irek Ulidowski and published by Springer Nature. This book was released on 2020-05-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access State-of-the-Art Survey presents the main recent scientific outcomes in the area of reversible computation, focusing on those that have emerged during COST Action IC1405 "Reversible Computation - Extending Horizons of Computing", a European research network that operated from May 2015 to April 2019. Reversible computation is a new paradigm that extends the traditional forwards-only mode of computation with the ability to execute in reverse, so that computation can run backwards as easily and naturally as forwards. It aims to deliver novel computing devices and software, and to enhance existing systems by equipping them with reversibility. There are many potential applications of reversible computation, including languages and software tools for reliable and recovery-oriented distributed systems and revolutionary reversible logic gates and circuits, but they can only be realized and have lasting effect if conceptual and firm theoretical foundations are established first.

Machines, Computations, and Universality

Author : Maurice Margenstern
Publisher : Springer Science & Business Media
ISBN 13 : 3540252614
Total Pages : 336 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Machines, Computations, and Universality by : Maurice Margenstern

Download or read book Machines, Computations, and Universality written by Maurice Margenstern and published by Springer Science & Business Media. This book was released on 2005-03-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed postproceedings of the 4th International Conference on Machines, Computations, and Universality, MCU 2004, held in St. Petersburg, Russia in September 2004. The 21 revised full papers presented together with 5 invited papers went through two rounds of reviewing, selection, and improvement. A broad variety of foundational aspects in theoretical computer science are addressed, such as cellular automata, molecular computing, quantum computing, formal languages, automata theory, Turing machines, P systems, etc.

Reversible World Of Cellular Automata: Fantastic Phenomena And Computing In Artificial Reversible Universe

Author : Kenichi Morita
Publisher : World Scientific
ISBN 13 : 9811280347
Total Pages : 347 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Reversible World Of Cellular Automata: Fantastic Phenomena And Computing In Artificial Reversible Universe by : Kenichi Morita

Download or read book Reversible World Of Cellular Automata: Fantastic Phenomena And Computing In Artificial Reversible Universe written by Kenichi Morita and published by World Scientific. This book was released on 2024-09-17 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique comprehensive compendium provides extensive studies on reversible cellular automata (RCAs), exhibiting a wide range of interesting phenomena similar to the Game-of-Life, a well-known irreversible CA.The useful reference text also introduces innovative approaches to constructing universal computers in a reversible cellular space. Numerous figures are included to illustrate the evolution of RCA configurations, and to elucidate theoretical results on RCAs. Additionally, readers can observe evolution processes of various RCAs on the free CA simulator Golly using supplementary files.

Collision-Based Computing

Author : Andrew Adamatzky
Publisher : Springer Science & Business Media
ISBN 13 : 9781852335403
Total Pages : 588 pages
Book Rating : 4.3/5 (354 download)

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Book Synopsis Collision-Based Computing by : Andrew Adamatzky

Download or read book Collision-Based Computing written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2002-05-13 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.

Turing Machine Universality of the Game of Life

Author : Paul Rendell
Publisher : Springer
ISBN 13 : 3319198424
Total Pages : 182 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Turing Machine Universality of the Game of Life by : Paul Rendell

Download or read book Turing Machine Universality of the Game of Life written by Paul Rendell and published by Springer. This book was released on 2015-07-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

Cellular Automata

Author : Samira El Yacoubi
Publisher : Springer
ISBN 13 : 3319443658
Total Pages : 482 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Cellular Automata by : Samira El Yacoubi

Download or read book Cellular Automata written by Samira El Yacoubi and published by Springer. This book was released on 2016-08-29 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Conference on Cellular Automata for Research and Industry, ACRI 2016, held in Fez, Morocco, in September 2014. The 45 full papers and 4 invited talks presented in this volume were carefully reviewed and selected from 59 submissions. This volume contains invited contributions and accepted papers from the main track and from the three organized workshops. The first part is organized according to three topics: (1) Cellular Automata Theory and Implementation (2) Cellular Automata Dynamics and Synchronization, (3) Asynchronous Cellular Automata and Asynchronous Discrete Models - ACA. The second part of the volume contains three topics: (4) Modelling and Sim-ulation with Cellular Automata (5) Crowds, Traffic and Cellular Automata –CT&CA (6) Agent-Based Simulation and Cellular Automata – ABS&CA.

Cellular Automata And Complexity

Author : Stephen Wolfram
Publisher : CRC Press
ISBN 13 : 0429973721
Total Pages : 615 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Cellular Automata And Complexity by : Stephen Wolfram

Download or read book Cellular Automata And Complexity written by Stephen Wolfram and published by CRC Press. This book was released on 2018-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.

Reversible Computation

Author : Shigeru Yamashita
Publisher : Springer
ISBN 13 : 3319084941
Total Pages : 240 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Reversible Computation by : Shigeru Yamashita

Download or read book Reversible Computation written by Shigeru Yamashita and published by Springer. This book was released on 2014-07-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Reversible Computation, RC 2014, held in Kyoto, Japan, in July 2014. The 14 contributions presented together with three invited talks were carefully reviewed and selected from 27 submissions. The papers are organized in topical sections on automata for reversible computation; notation and languages for reversible computation; synthesis and optimization for reversible circuits; validation and representation of quantum logic.

Cellular Automata Machines

Author : Tommaso Toffoli
Publisher : MIT Press
ISBN 13 : 9780262200608
Total Pages : 284 pages
Book Rating : 4.2/5 (6 download)

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Book Synopsis Cellular Automata Machines by : Tommaso Toffoli

Download or read book Cellular Automata Machines written by Tommaso Toffoli and published by MIT Press. This book was released on 1987 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Computation -- Computation by Abstracts Devices.

Handbook Of Unconventional Computing (In 2 Volumes)

Author : Andrew Adamatzky
Publisher : World Scientific
ISBN 13 : 9811235279
Total Pages : 1208 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Handbook Of Unconventional Computing (In 2 Volumes) by : Andrew Adamatzky

Download or read book Handbook Of Unconventional Computing (In 2 Volumes) written by Andrew Adamatzky and published by World Scientific. This book was released on 2021-08-18 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that computation can be implemented with cytoskeleton networks, chemical reactions, liquid marbles, plants, polymers and dozens of other living and inanimate substrates? Do you know what is reversible computing or a DNA microscopy? Are you aware that randomness aids computation? Would you like to make logical circuits from enzymatic reactions? Have you ever tried to implement digital logic with Minecraft? Do you know that eroding sandstones can compute too?This volume reviews most of the key attempts in coming up with an alternative way of computation. In doing so, the authors show that we do not need computers to compute and we do not need computation to infer. It invites readers to rethink the computer and computing, and appeals to computer scientists, mathematicians, physicists and philosophers. The topics are presented in a lively and easily accessible manner and make for ideal supplementary reading across a broad range of subjects.

Automata-2008

Author : A. Adamatzky
Publisher : Luniver Press
ISBN 13 : 1905986165
Total Pages : 634 pages
Book Rating : 4.9/5 (59 download)

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Book Synopsis Automata-2008 by : A. Adamatzky

Download or read book Automata-2008 written by A. Adamatzky and published by Luniver Press. This book was released on 2008 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata are regular uniform networks of locally-connected finite-state machines. They are discrete systems with non-trivial behaviour. Cellular automata are ubiquitous: they are mathematical models of computation and computer models of natural systems. The book presents results of cutting edge research in cellular-automata framework of digital physics and modelling of spatially extended non-linear systems; massive-parallel computing, language acceptance, and computability; reversibility of computation, graph-theoretic analysis and logic; chaos and undecidability; evolution, learning and cryptography. The book is unique because it brings together unequalled expertise of inter-disciplinary studies at the edge of mathematics, computer science, engineering, physics and biology.

Designing Beauty: The Art of Cellular Automata

Author : Andrew Adamatzky
Publisher : Springer
ISBN 13 : 3319272705
Total Pages : 188 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Designing Beauty: The Art of Cellular Automata by : Andrew Adamatzky

Download or read book Designing Beauty: The Art of Cellular Automata written by Andrew Adamatzky and published by Springer. This book was released on 2016-01-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.

Cellular Automata and Discrete Complex Systems

Author : Alberto Dennunzio
Publisher : Springer
ISBN 13 : 3319586319
Total Pages : 211 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Cellular Automata and Discrete Complex Systems by : Alberto Dennunzio

Download or read book Cellular Automata and Discrete Complex Systems written by Alberto Dennunzio and published by Springer. This book was released on 2017-05-24 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed proceedings of the 23rd IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2017, held in Milan, Italy, in June 2017. The 14 full papers presented together with one full-length invited paper and 2 invited talk abstracts were carefully reviewed and selected from a total of 28 submissions. The papers feature research on correlated models of automata. The topics include aspects and features of such models: dynamics; topological, ergodic, and algebraic aspects; algorithmic and complexity issues; emergent properties; formal languages; symbolic dynamics; tilings; models of parallelism and distributed systems; timing schemes; synchronous versus asynchronous models; phenomenological descriptions; scientific modelling; practical applications.

Logical Approaches to Computational Barriers

Author : Arnold Beckmann
Publisher : Springer
ISBN 13 : 3540354689
Total Pages : 623 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Logical Approaches to Computational Barriers by : Arnold Beckmann

Download or read book Logical Approaches to Computational Barriers written by Arnold Beckmann and published by Springer. This book was released on 2006-06-29 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.