
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 whatcan 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. Comprehensive examination of the hypercomputation field In-depth presentation of the current status of computation and its potential Philosophical and pragmatic approach tothe limits of computation and why the Church-Turing thesis is an arbitrary limit Describes the various attempts at hypercomputation, including trial-and-error machines and the human mind treated as a device with computational abilities INDICE: 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 ofTopology and Differential Geometry.- Bibliography.- People Index.- Subject Index.
- ISBN: 978-0-387-30886-9
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 246
- Fecha Publicación: 01/08/2008
- Nº Volúmenes: 1
- Idioma: Inglés