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Author : Henry M. Walker
Publisher : Jones & Bartlett Publishers
Page : 236 pages
File Size : 47,7 Mb
Release : 1994
Category : Computers
ISBN : UVA:X002279956
Author : Edna E. Reiter,Clayton Matthew Johnson
Publisher : CRC Press
Page : 279 pages
File Size : 54,7 Mb
Release : 2012-10-29
Category : Computers
ISBN : 9781439882078
Limits of Computation: An Introduction to the Undecidable and the Intractable offers a gentle introduction to the theory of computational complexity. It explains the difficulties of computation, addressing problems that have no algorithm at all and problems that cannot be solved efficiently. The book enables readers to understand: What does it mean for a problem to be unsolvable or to be NP-complete? What is meant by a computation and what is a general model of a computer? What does it mean for an algorithm to exist and what kinds of problems have no algorithm? What problems have algorithms but the algorithm may take centuries to finish? Developed from the authors’ course on computational complexity theory, the text is suitable for advanced undergraduate and beginning graduate students without a strong background in theoretical computer science. Each chapter presents the fundamentals, examples, complete proofs of theorems, and a wide range of exercises.
Author : Anthony Hey
Publisher : CRC Press
Page : 463 pages
File Size : 51,6 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429969003
Computational properties of use to biological organisms or to the construction of computers can emerge as collective properties of systems having a large number of simple equivalent components (or neurons). The physical meaning of content-addressable memory is described by an appropriate phase space flow of the state of a system. A model of such a system is given, based on aspects of neurobiology but readily adapted to integrated circuits. The collective properties of this model produce a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. The algorithm for the time evolution of the state of the system is based on asynchronous parallel processing. Additional emergent collective properties include some capacity for generalization, familiarity recognition, categorization, error correction, and time sequence retention. The collective properties are only weakly sensitive to details of the modeling or the failure of individual devices.
Author : Paul Cockshott,Lewis M Mackenzie,Gregory Michaelson
Publisher : Oxford University Press
Page : 246 pages
File Size : 51,8 Mb
Release : 2012-03-15
Category : Computers
ISBN : 9780199640324
Although we are entirely unaware of it, computation is central to all aspects of our existences. Every day we solve, or try to solve, a myriad of problems, from the utterly trivial to the bafflingly complex. This book explains why it is possible to do computation and what the ultimate limits of it are, as understood by modern science.
Author : Bernhard Reus
Publisher : Springer
Page : 348 pages
File Size : 55,9 Mb
Release : 2016-03-25
Category : Computers
ISBN : 9783319278896
This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time complexity, including the Halting Problem, Rice's Theorem, Kleene's Recursion Theorem, the Church-Turing Thesis, Hierarchy Theorems, and Cook-Levin's Theorem. Each chapter contains classroom-tested material, including examples and exercises. Links between adjacent chapters provide a coherent narrative. Fundamental results are explained lucidly by means of programs written in a simple, high-level imperative programming language, which only requires basic mathematical knowledge. Throughout the book, the impact of the presented results on the entire field of computer science is emphasised. Examples range from program analysis to networking, from database programming to popular games and puzzles. Numerous biographical footnotes about the famous scientists who developed the subject are also included. "Limits of Computation" offers a thorough, yet accessible, introduction to computability and complexity for the computer science student of the 21st century.
Author : David Harel
Publisher : Oxford University Press
Page : 244 pages
File Size : 42,7 Mb
Release : 2004
Category : Computers
ISBN : 0198604424
David Harel explains and illustrates one of the most fundamental, yet under-exposed facets of computers - their inherent limitations.
Author : Arthur Fleck
Publisher : World Scientific Publishing Company
Page : 548 pages
File Size : 43,8 Mb
Release : 2001-03-09
Category : Computers
ISBN : 9789813105829
This book provides new presentations of standard computational models that help avoid pitfalls of the conventional description methods. It also includes novel approaches to some of the topics that students normally find the most challenging. The presentations have evolved in response to student feedback over many years of teaching and have been well received by students. The book covers the topics suggested in the ACM curriculum guidelines for the course on “Theory of Computation”, and in the course on “Foundations of Computing” in the model liberal arts curriculum. These are standard courses for upper level computer science majors and beginning graduate students. The material in this area of computing is intellectually deep, and students invariably find it challenging to master. This book blends the three key ingredients for successful mastery. The first is its focus on the mingling of intuition and rigor that is required to fully understand the area. This is accomplished not only in the discussion and in examples, but also especially in the proofs. Second, a number of practical applications are presented to illustrate the capacity of the theoretical techniques to contribute insights in a variety of areas; such presentations greatly increase the reader's motivation to grasp the theoretical material. The student's active participation is the third and final major element in the learning process, and to this end an extensive collection of problems of widely differing difficulty is incorporated.
Author : Anthony J.G. Hey
Publisher : Westview Press
Page : 472 pages
File Size : 51,8 Mb
Release : 1999
Category : Biography & Autobiography
ISBN : UOM:39015069323452
Richard P. Feynman made profoundly important contributions to the physics of computing, notably with such articles as "Simulating Physics with Computers", the famous paper which launched the field of quantum computing. This book offers both a remarkable tribute to Feynman and a new exploration of the limits of computers by some of today's most influential scientists.
Author : Paul E. Ceruzzi
Publisher : MIT Press
Page : 290 pages
File Size : 51,9 Mb
Release : 1989
Category : Aeronautics
ISBN : 0262031434
Computers and flying machines are two dominant technologies of our time. "Beyond the Limits" shows the ways in which they interact, clearly illustrating the complex issues and devices involved in their mutual evolution. It describes and illustrates how computer technology has affected the theory and practice of the engineering and operations of aircraft and spacecraft from 1945 to the present. Paul Ceruzzi points out that the "revolution" in aerospace technology has been going on for at least forty years. For the first time, he tells how modern flight depends on computers, how this came about, and what its consequences are. He brings to light new facets of the individual stories of aerospace and computing, while also revealing more general themes about the dynamics and evolution of these modern technologies. Spacecraft and fighters make use of leading-edge computer technologies in their design, testing manufacture, navigation and operation; moreover pilots and astronauts rely on computer simulations throughout their training. Ceruzzi describes these technologies and their history. In separate chapters he focuses on Northrop ("midwife of the computer industry"), missile tracking, Whirlwind, Apollo, Minuteman, and the software involved. An appendix discusses the role that on-board and ground computers played in the explosion of the space shuttle "Challenger. Paul Ceruzzi is Associate Curator at the National Air and Space Museum of the Smithsonian Institution. "Beyond the Limits" was written to accompany the opening of a major new gallery devoted to the subject at the Smithsonian's National Air and Space Museum.
Author : Paul Cockshott,Lewis M. Mackenzie,Gregory Michaelson
Publisher : OUP Oxford
Page : 248 pages
File Size : 53,7 Mb
Release : 2012-03-15
Category : Science
ISBN : 9780191627491
Computation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality. It begins by exploring the mystery of why mathematics is so effective in science and seeks to explain this in terms of the modelling of one part of physical reality by another. Going from the origins of counting to the most blue-skies proposals for novel methods of computation, the authors investigate the extent to which the laws of nature and of logic constrain what we can compute. In the process they examine formal computability, the thermodynamics of computation, and the promise of quantum computing.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 46,5 Mb
Release : 2024-06-06
Category : Electronic
ISBN : 9789814475006
Author : Hava T. Siegelmann
Publisher : Springer Science & Business Media
Page : 193 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461207078
The theoretical foundations of Neural Networks and Analog Computation conceptualize neural networks as a particular type of computer consisting of multiple assemblies of basic processors interconnected in an intricate structure. Examining these networks under various resource constraints reveals a continuum of computational devices, several of which coincide with well-known classical models. On a mathematical level, the treatment of neural computations enriches the theory of computation but also explicated the computational complexity associated with biological networks, adaptive engineering tools, and related models from the fields of control theory and nonlinear dynamics. The material in this book will be of interest to researchers in a variety of engineering and applied sciences disciplines. In addition, the work may provide the base of a graduate-level seminar in neural networks for computer science students.
Author : Raymond Greenlaw,H. James Hoover,Walter L. Ruzzo
Publisher : Oxford University Press, USA
Page : 328 pages
File Size : 52,8 Mb
Release : 1995
Category : Computational complexity
ISBN : 9780195085914
This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.
Author : Craig S. Lent,Alexei O. Orlov,Wolfgang Porod,Gregory L. Snider
Publisher : Springer
Page : 237 pages
File Size : 53,8 Mb
Release : 2018-08-03
Category : Technology & Engineering
ISBN : 9783319934587
This book is a single-source reference to the issues involved in the Landauer principle, which has gained new prominence recently, due to the large amount of heat generated by today’s computers. If Landauer’s principle is correct, there may be ways to build computers that dissipate far less power (corresponding to heat generated) than today’s computers. This book brings together all sides of the discussions regarding Landauer’s principle, both theoretical and experimental, empowering readers to gain better understanding of dissipation in computation, and the limits if any to progress in computation related to energy dissipation. It represents the best and most thorough examination of the important issue of Landauer’s principle that is available in one volume. Provides an in-depth investigation of the Landauer principle and how it relates to the possible existence of lower bounds on dissipation in computation; Gathers together both sides of the discussion: those who agree with Landauer and his conclusions, and those who think that Landauer was not correct, offering fresh perspective on the issues in the new light of experiments; Offers insight into the future of silicon CMOS and the limits if any to progress in computation related to energy dissipation.
Author : National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Intelligence Community Studies Board,Computer Science and Telecommunications Board,Committee on Technical Assessment of the Feasibility and Implications of Quantum Computing
Publisher : National Academies Press
Page : 273 pages
File Size : 48,6 Mb
Release : 2019-04-27
Category : Computers
ISBN : 9780309479691
Quantum mechanics, the subfield of physics that describes the behavior of very small (quantum) particles, provides the basis for a new paradigm of computing. First proposed in the 1980s as a way to improve computational modeling of quantum systems, the field of quantum computing has recently garnered significant attention due to progress in building small-scale devices. However, significant technical advances will be required before a large-scale, practical quantum computer can be achieved. Quantum Computing: Progress and Prospects provides an introduction to the field, including the unique characteristics and constraints of the technology, and assesses the feasibility and implications of creating a functional quantum computer capable of addressing real-world problems. This report considers hardware and software requirements, quantum algorithms, drivers of advances in quantum computing and quantum devices, benchmarks associated with relevant use cases, the time and resources required, and how to assess the probability of success.