Hypercomputation
Description
Hypercomputation is a relatively new theory of computation that is about computing methods and devices that transcend the so-called 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 of this book will get 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 in and of itself quite a novel idea and as such the book will be interesting in its own right. The most important features of the book, however, will be the thorough 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.
Reviews / Votes
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)
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