Turing's legacy : developments from Turing's ideas in logic / edited by Rod Downey, Victoria University of Wellington.

Format:

Book

Contributor:

Downey, R. G. (Rod G.), editor.

Series:

Lecture notes in logic ; 42.

Lecture notes in logic ; 42

Language:

English

Subjects (All):

Turing, Alan, 1912-1954.

Turing, Alan.

Computational complexity.

Machine theory.

Physical Description:

1 online resource (x, 529 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2014.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-139-90514-7

1-139-89924-4

1-139-90317-9

1-107-33857-3

1-139-90706-9

1-139-91877-X

1-139-91092-2

1-139-92266-1