Turing's Revolution

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.