Turing's Legacy
Developments from Turing's Ideas in Logic
Will be published approx. on 1. May 2014
Book
Hardback
539 pages
978-1-107-04348-0 (ISBN)
Description
Alan Turing was an inspirational figure who is now recognised as a genius of modern mathematics. In addition to leading the Allied forces' code-breaking effort at Bletchley Park in World War II, he proposed the theoretical foundations of modern computing and anticipated developments in areas from information theory to computer chess. His ideas have been extraordinarily influential in modern mathematics and this book traces such developments by bringing together essays by leading experts in logic, artificial intelligence, computability theory and related areas. Together, they give insight into this fascinating man, the development of modern logic, and the history of ideas. The articles within cover a diverse selection of topics, such as the development of formal proof, differing views on the Church-Turing thesis, the development of combinatorial group theory, and Turing's work on randomness which foresaw the ideas of algorithmic randomness that would emerge many years later.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 231 mm
Width: 155 mm
Thickness: 30 mm
Weight
1021 gr
ISBN-13
978-1-107-04348-0 (9781107043480)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
05/2014
Cambridge University Press
€118.99
Available for download
E-Book
04/2014
1st Edition
Cambridge University Press
€67.99
Available for download
Person
Rod Downey is Professor of Mathematics at Victoria University of Wellington, New Zealand. His main research interests lie in algebra, logic and complexity theory. Downey has received many professional accolades throughout his career, including the Schoenfeld Prize of the Association for Symbolic Logic and the Hector Medal of the Royal Society of New Zealand, along with numerous fellowships to learned societies and institutes such as the Isaac Newton Institute (Cambridge) and the American Mathematical Society.
Content
Turing's legacy: developments from Turing's ideas in logic Rod Downey; 1. Computability and analysis: the legacy of Alan Turing Jeremy Avigad and Vasco Brattka; 2. Alan Turing and the other theory of computation (expanded) Lenore Blum; 3. Turing in Quantumland Harry Buhrman; 4. Computability theory, algorithmic randomness and Turing's anticipation Rod Downey; 5. Computable model theory Ekaterina B. Fokina, Valentina Harizanov and Alexander Melnikov; 6. Towards common-sense reasoning via conditional simulation: legacies of Turing in artificial intelligence Cameron E. Freer, Daniel M. Roy and Joshua B. Tenenbaum; 7. Mathematics in the age of the Turing machine Thomas C. Hales; 8. Turing and the development of computational complexity Steven Homer and Alan L. Selman; 9. Turing machines to word problems Charles F. Miller, III; 10. Musings on Turing's thesis Anil Nerode; 11. Higher generalizations of the Turing model Dag Normann; 12. Step by recursive step: Church's analysis of effective calculability Wilfried Sieg; 13. Turing and the discovery of computability Robert Irving Soare; 14. Transfinite machine models P. D. Welch.