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New Computational Paradigms : Changing Conceptions of What Is Computable by Andrew Hodges (auth.), S. Barry Cooper, Benedikt Löwe, Andrea Sorbi (eds.) is a nonfiction available to read on EtoBox.

What is New Computational Paradigms : Changing Conceptions of What Is Computable about?

In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable. 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 al

Who reads New Computational Paradigms : Changing Conceptions of What Is Computable?

Author

Andrew Hodges (auth.), S. Barry Cooper, Benedikt Löwe, Andrea Sorbi (eds.)

Publisher

Springer-Verlag New York

Published

2007

Language

EN

ISBN

9781441922632

Category

nonfiction

Subjects

Mathematics, Philosophy, Science