Computability and Incomputability

  • Authors:
  • Robert I. Soare

  • Affiliations:
  • Department of Mathematics, University of Chicago, Chicago, Illinois 60637-1546,

  • Venue:
  • CiE '07 Proceedings of the 3rd conference on Computability in Europe: Computation and Logic in the Real World
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

The conventional wisdom presented in most computability books and historical papers is that there were several researchers in the early 1930's working on various precise definitions and demonstrations of a function specified by a finite procedure and that they should all share approximately equal credit. This is incorrect. It was Turing alonewho achieved the characterization, in the opinion of Gödel. We also explore Turing's oracle machine and its analogous properties in analysis.