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El. knyga: Turing's Legacy: Developments from Turing's Ideas in Logic

Edited by (Victoria University of Wellington)
  • Formatas: EPUB+DRM
  • Serija: Lecture Notes in Logic
  • Išleidimo metai: 01-May-2014
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781139905145
  • Formatas: EPUB+DRM
  • Serija: Lecture Notes in Logic
  • Išleidimo metai: 01-May-2014
  • Leidėjas: Cambridge University Press
  • Kalba: eng
  • ISBN-13: 9781139905145

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"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"--

Daugiau informacijos

A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.
Turing's legacy: developments from Turing's ideas in logic vii
Rod Downey
Computability and analysis: the legacy of Alan Turing
1(47)
Jeremy Avigad
Vasco Brattka
Alan Turing and the other theory of computation (expanded)
48(22)
Lenore Blum
Turing in Quantumland
70(20)
Harry Buhrman
Computability theory, algorithmic randomness and Turing's anticipation
90(34)
Rod Downey
Computable model theory
124(71)
Ekaterina B. Fokina
Valentina Harizanov
Alexander Melnikov
Towards common-sense reasoning via conditional simulation: legacies of Turing in Artificial Intelligence
195(58)
Cameron E. Freer
Daniel M. Roy
Joshua B. Tenenbaum
Mathematics in the age of the Turing machine
253(46)
Thomas C. Hales
Turing and the development of computational complexity
299(30)
Steven Homer
Alan L. Selman
Turing machines to word problems
329(57)
Charles F. Miller
Musings on Turing's Thesis
386(11)
Anil Nerode
Higher generalizations of the Turing Model
397(37)
Dag Normann
Step by recursive step: Church's analysis of effective calculability
434(33)
Wilfried Sieg
Turing and the discovery of computability
467(26)
Robert Irving Soare
Transfinite machine models
493
P. D. Welch
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.