Anthony Young:New Computational Paradigms : Changing Conceptions of What is Computable
- new book ISBN: 9780387685465
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 inter… More...
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 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. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues.This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.; PDF; Scientific, Technical and Medical > Mathematical foundations > Mathematical logic, Springer New York<
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S.B. Cooper; Benedikt Löwe; Andrea Sorbi:New Computational Paradigms
- new book ISBN: 9780387685465
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 inter… More...
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 computationâ??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. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book. Books > Computer Science eBook, Springer Shop<
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S. Barry Cooper; S.B. Cooper; Benedikt Löwe; Benedikt Löwe; Andrea Sorbi; Andrea Sorbi:New Computational Paradigms
- First edition 2007, ISBN: 9780387685465
Changing Conceptions of What is Computable, eBooks, eBook Download (PDF), Auflage, [PU: Springer-Verlag], [ED: 1], Springer-Verlag, 2007
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S.B. Cooper; Benedikt Lowe; Andrea Sorbi:New Computational Paradigms
- new book 2007, ISBN: 9780387685465
Changing Conceptions of What is Computable, eBooks, eBook Download (PDF), 2008, [PU: Springer New York], Springer New York, 2007
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(*) Book out-of-stock means that the book is currently not available at any of the associated platforms we search.
S.B. Cooper; Benedikt Löwe; Andrea Sorbi:New Computational Paradigms
- new book 2007, ISBN: 9780387685465
Changing Conceptions of What is Computable, eBooks, eBook Download (PDF), 2008, [PU: Springer New York], Springer New York, 2007
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(*) Book out-of-stock means that the book is currently not available at any of the associated platforms we search.