Turing's Revolution

The Impact of His Ideas about Computability
1. Auflage 2015
ISBN: 978-3-319-22155-7
Verlag: Birkhäuser

Buch, Englisch, 331 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 6565 g

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.
The Stored-Program Universal Computer: Did Zuse Anticipate Turing and von Neumann?” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

Zielgruppe

Research

Autoren/Hrsg.

Sommaruga, Giovanni

Strahm, Thomas

Fachgebiete

• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein EDV & Informatik: Geschichte
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.