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New Computational Paradigms : Changing Conceptions of What is Computable

This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book opens with an introduction by Andrew Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation’s allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory.

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Logical approaches to computational barriers ; 2nd Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006, Proceedings

The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, and computational learning. Applications are everywhere, especially, in algebra, analysis and geometry, or data types and programming. This volume, Logical Approaches to Computational Barriers, is the proce- ings of the second in a series of conferences of CiE that was held at the Depa- ment of Computer Science, Swansea University, 30 June - 5 July, 2006.

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Computation and Logic in the Real World ; 3rd Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007, Proceedings

This volume, Computation and Logic in the Real World, is the proceedings of the third in a series of conferences of CiE Computability in Europe, (CiE) is an informal network working on computability theory including its foundations, technical development, and applications. It performed with discrete or continuous data by all kinds of algorithms, programs, and machines. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, computational learning.

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