European University Institute Library

Turing's Revolution, The Impact of His Ideas about Computability, edited by Giovanni Sommaruga, Thomas Strahm

eng

0

non fiction

Turing's Revolution

electronic resource

943052951

edited by Giovanni Sommaruga, Thomas Strahm

The Impact of His Ideas about Computability

This book provides an overview of the confluence of ideas in Turing's era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical influence of Turing's work, it is possible to gather new perspectives and new research topics which might be considered as a continuation of Turing's working ideas well into the 21st century--, Provided by Publisher

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