On the Church-Turing Thesis.- Early Hypercomputers.- Infinite-Time TuringMachines.- Interactive Computing.- Hyperminds.- Computing Real Numbers.- Relativistic and Quantum Hypercomputation.- Natural Computation and Hypercomputation.
Über den Autor
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).
Preface.- Introduction.- On the Church-Turing Thesis.- Early Hypercomputers.- Infinite Time Turing Machines.- Interactive Computing.- Hyperminds.- Computing Real Numbers.- Relativistic and Quantum Hypercomputation.- Natural Computation and Hypercomputation.- Appendix A. Interactability and Hypercomputation.- Appendix B.- Socio-Economical Implications.- Appendix C. A Précis of Topology and Differential Geometry.- Bibliography.- People Index.- Subject Index.
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 deals exclusively with the topic and presents 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 comparatively novel idea and as such the book is interesting in its own right. The most important features of the book, however, are its 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.