Limits Of Computation


Limits Of Computation
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Limits Of Computation


Limits Of Computation
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Author : Bernhard Reus
language : en
Publisher: Springer
Release Date : 2016-03-25

Limits Of Computation written by Bernhard Reus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-25 with Computers categories.


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.



Limits Of Computation


Limits Of Computation
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Author : Edna E. Reiter
language : en
Publisher: CRC Press
Release Date : 2012-10-29

Limits Of Computation written by Edna E. Reiter and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-29 with Computers categories.


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.



Computation And Its Limits


Computation And Its Limits
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Author : Paul Cockshott
language : en
Publisher: OUP Oxford
Release Date : 2012-03-15

Computation And Its Limits written by Paul Cockshott and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Science categories.


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.



Energy Limits In Computation


Energy Limits In Computation
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Author : Craig S. Lent
language : en
Publisher: Springer
Release Date : 2018-08-03

Energy Limits In Computation written by Craig S. Lent and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-03 with Technology & Engineering categories.


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.



The Limits Of Computing


The Limits Of Computing
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Author : Henry M. Walker
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 1994

The Limits Of Computing written by Henry M. Walker and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.




Limits To Parallel Computation


Limits To Parallel Computation
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Author : Raymond Greenlaw
language : en
Publisher: Oxford University Press
Release Date : 1995-04-06

Limits To Parallel Computation written by Raymond Greenlaw and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-06 with Computers categories.


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.



Formal Models Of Computation


Formal Models Of Computation
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Author : Arthur Charles Fleck
language : en
Publisher:
Release Date : 2001

Formal Models Of Computation written by Arthur Charles Fleck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Electronic books categories.




Formal Models Of Computation


Formal Models Of Computation
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Author : Arthur Charles Fleck
language : en
Publisher: World Scientific
Release Date : 2001

Formal Models Of Computation written by Arthur Charles Fleck and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.


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.



Feynman And Computation


Feynman And Computation
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Author : Anthony J.G. Hey
language : en
Publisher: Westview Press
Release Date : 1999

Feynman And Computation written by Anthony J.G. Hey and has been published by Westview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Biography & Autobiography categories.


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.



Computation And Its Limits


Computation And Its Limits
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Author :
language : en
Publisher:
Release Date : 2012

Computation And Its Limits written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computer science categories.