Turing's Legacy: Developments from Turing's Ideas in Logic

doi:10.1017/CBO9781107338579

Turing's Legacy

Developments from Turing's Ideas in Logic

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Termini, Settimo 2017. T for Turing. Lettera Matematica, Vol. 5, Issue. 2, p. 185.

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Termini, Settimo 2017. Turing Macchina di Turing... ma anche inquietudine e desiderio. Lettera Matematica Pristem, Vol. 100, Issue. 1, p. 106.

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Kasymov, Nadim Karimova, Nadira and Khoussainov, Bakh 2024. Defining algorithmically presented structures in first order logic. p. 1.

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Edited by Rod Downey, Victoria University of Wellington

Publisher:: Cambridge University Press
Online publication date:: June 2014
Print publication year:: 2014
Online ISBN:: 9781107338579
DOI:: https://doi.org/10.1017/CBO9781107338579

Subjects:: Mathematics, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic
Series:: Lecture Notes in Logic (42)

141.00 (GBP)

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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.

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Turing's Legacy

Developments from Turing's Ideas in Logic

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Turing's legacy: developments from Turing's ideas in logic
pp vii-x

Computability and analysis: the legacy of Alan Turing
pp 1-47

Alan Turing and the other theory of computation (expanded)
pp 48-69

Turing in Quantumland
pp 70-89

Computability theory, algorithmic randomness and Turing's anticipation
pp 90-123

Computable model theory
pp 124-194

Towards common-sense reasoning via conditional simulation: legacies of Turing in Artificial Intelligence
pp 195-252

Mathematics in the age of the Turing machine
pp 253-298

Turing and the development of computational complexity
pp 299-328

Turing machines to word problems
pp 329-385

Musings on Turing's Thesis
pp 386-396

Higher generalizations of the Turing Model
pp 397-433

Step by recursive step: Church's analysis of effective calculability
pp 434-466

Turing and the discovery of computability
pp 467-492

Transfinite machine models
pp 493-529

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Turing's Legacy

Developments from Turing's Ideas in Logic

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