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9783319793801: Turing’s Revolution: The Impact of His Ideas about Computability

Synopsis

Preface (Martin Davis).-

I Introduction (Sommaruga, Strahm).-

II Turing and the history of computability theory .-

1. Conceptual Confluence in 1936: Post & Turing, Martin Davis and Wilfried Sieg.-
2. Algorithms: From Al-Khwarizmi to Turing and Beyond, Wolfgang Thomas.-
3. The Stored-Program Universal Computer: Did Zuse Anticipate Turing and von Neumann? Jack Copeland and Giovanni Sommaruga.-

III Generalizing Turing computability theory.-

1. Theses for Computation and Recursion on Concrete and Abstract Structures, Solomon Feferman.-
2. Generalizing Computability Theory to Abstract Algebras, John V. Tucker and Jeffrey Zucker.-
3. Discrete Transfinite Computation, Philip Welch.-
4. Semantics-to-Syntax Analyses of Algorithms, Yuri Gurevich.-
5. The Information Content of Typical Reals, George Barmpalias and Andy Lewis-Pye.-
6. Proof-theoretic Analysis by Iterated Reflection, Lev Beklemishev.-

IV Philosophical reflections.-

1. Alan Turing and the Foundation of Computer Science, Juraj Hromkovic.-
2. Proving Things about the Informal, Stewart Shapiro.-
3. Why Turing's Thesis is Not a Thesis, Robert Soare.-
4. Incomputability, Emergent, and Higher Type Computation, S. Barry Cooper.

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À propos de l'auteur

Giovanni Sommaruga is Professor for philosopy of logic and mathematics at ETH Zurich, Switzerland. Thomas Strahm is Professor for mathematical logic and theoretical computer science at the University of Berne, Switzerland.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783319221557: Turing s Revolution: The Impact of His Ideas About Computability

Edition présentée

ISBN 10 :  3319221558 ISBN 13 :  9783319221557
Editeur : Birkhauser Verlag AG, 2016
Couverture rigide