Hypercomputation

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.

• Church-Turing Thesis
• Turing machine
• computability
• computer
• geometry
• hyperminds
• infinite-time
• pseudorecursiveness
• theory of computation
• algorithm analysis and problem complexity

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)

• Xanthi, Greece

  Apostolos Syropoulos

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).

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