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Hypercomputation: Computing Beyond the Church-Turing Barrier, by Apostolos Syropoulos
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This book provides a thorough description of hypercomputation. It covers all attempts at devising conceptual hypermachines and all new promising computational paradigms that may eventually lead to the construction of a hypermachine. Readers will gain a deeper understanding of what computability is, and why the Church-Turing thesis poses an arbitrary limit to what can be actually computed. Hypercomputing is a relatively novel idea. However, the book’s most important features are its description of the various attempts of hypercomputation, from trial-and-error machines to the exploration of the human mind, if we treat it as a computing device.
- Sales Rank: #6643425 in Books
- Published on: 2010-10-29
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .59" w x 6.10" l, .81 pounds
- Binding: Paperback
- 260 pages
Review
From the reviews:
"During the last two decades hypercomputation has attracted more and more interest within computer science. … The present book gives an introduction to several such approaches. … this is the first attempt to collect such material in book form. … For somebody interested in hypercomputation the book is a good start in order to get an idea about different questions and approaches relevant in that area." (Klaus Meer, Mathematical Reviews, Issue 2009 j)
“To anyone unfamiliar with the notion of hypercomputation picking up this book, it will be an intriguing and informative volume. … It will be very informative for someone coming from outside, say at graduate or advanced undergraduate, level who wants to find out what all the fuss of hypercomputation is about.” (P. D. Welch, Studia Logica, Vol. 96, 2010)
From the Back Cover
Hypercomputation is a relatively new theory of computation which treats computing methods and devices that transcend the Church-Turing thesis. This book will provide a thorough description of the field of hypercomputation, covering all attempts at devising conceptual hypermachines and all new promising computational paradigms that may eventually lead to the construction of a hypermachine.
Readers will reach a deeper understanding of what computability is and why the Church-Turing thesis poses an arbitrary limit to what actually can be computed. Hypercomputing is quite a novel idea, and therefore the book is interesting to the reader in its own right. The most significant features of the book, however, will be the descriptions of the various attempts of hypercomputation: from trial-and-error machines to the exploration of the human mind treated as a device with computational abilities. Hypercomputation: Computing Beyond the Church-Turing Barrier is fairly self-contained but requires a solid background in mathematics (calculus, discrete mathematics, algebra, and topology).
Topics and Features:
* Comprehensive examination of the hypercomputation field
* In-depth presentation of the current status of computation and its potential
* Philosophical and pragmatic approach to the limits of computation
* The human mind treated as a device with computational abilities, and its possible implications
* New, promising computing paradigms
This state-of-the-art monograph will be of interest to those interested in exploring this exciting new branch of Computer Science. It will be of particular interest to academics, engineers, and researchers in Computer Science, Mathematics and Physics.
About the Author
Apostolos Syropoulos holds a Diploma in Physics from the University of Ioannina, Greece, a M.Sc. in Computer Science from the University of Göteborg, Göteborg. Sweden, and a Ph.D. in Theoretical Computer Science from the Democritus University of Thrace, Xanthi, Greece. He has published papers in the areas of categorical semantics, natural computing, programming language theory, Web-oriented technologies, and digital typography.
In addition, the prospective author has presented his work in the workshop of the European COST Action Group 16 (Multivalued Logics) that was held in Vienna, Austria in 1998. He is also the team leader of the Greek Molecular Computing Group, which is a member of the European Molecular Computing Consortium, whose director is Professor Grzegorz Rezenberg. He was also member of the Democritus University team on Industrial Mathematics of the European Initiative on Mathematics in Industry. Last, but not least, it is worth to mention that recently the prospective author has published a book on the Perl programming language (in Greek).
Most helpful customer reviews
1 of 1 people found the following review helpful.
A good introduction to hyper-computation
By Newton da Costa
The basic objective of the usual computability theory is to develop algorithms to solve certain classes of problems. The well-known Church-Turing thesis imposes on the standard theory strong restrictions. Hyper-computation constitutes a kind of extension of standard computability theory, not restricted by Church-Turing thesis. Its aim, so we could say, is to compute the usually uncomputable. The book under review presents a good and elementary introduction to hyper-computation, its difficulties, its methods and part of its story. The book deserves to be read by anyone really interested in hyper-computation and related topics.
1 of 1 people found the following review helpful.
great compendium of hypercomputation
By Calvin Tolman
Apostolos Syropoulos has written a great reference book. This book condenses and presents many of the developments in hypercomputation in a straightforward way. if you are exploring computation beyond the turing machine, this is the place to start. It covers all of the bases and is very accessible, especially for this kind of material. At the end of the book is an entry for Apostolos Syropoulos own research (C systems and fuzzy membranes) and I thought it was the most interesting of all.
fyi, the binding of the book is pretty poor in my copy as sections have detached from the spine but that is on Springer.
0 of 0 people found the following review helpful.
Definitely the kind of book to take with you all the time
By Kurt B
I love this book. It's packed. If you're a science fiction writer - it would be a great place to get ideas.
There is a lot of mathematics in it, but it's pretty easy to understand if you have a decent background in mathematics - if you understand the Turing Machine as given by Penrose in The Emperor's New Mind (1989) - you can understand this. You don't need to go through every axiom to get value out of it. The author definitely gives enough information in English so that you can understand what is going on.
It starts with the simplest Turing machines and goes on to the limits of computability and what can be achieved with black holes, a continuous Universe (space/time is continuous) - with very elaborate Turing type machines (which we already have). He discusses the Chinese Room, Roger Penrose, and so on.
This goes great with philosophy such as that of Daniel Dennett as given in Consciousness Explained, for example.
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