Computability in Context: Computation and Logic in the Real World

Front Cover
World Scientific, 2011 - Computers - 410 pages
0 Reviews
Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier.This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues. The list of contributors includes: S Abramsky, P Adriaans, M Agrawal, M Arslanov, G Ausiello, J Diaz, Y Ershov, G Longo, W Maass, I Nemeti, A Nerode, D Normann, G Odifreddi, M Rathjen, G Rozenberg, M Vardi, and P Welch.

What people are saying - Write a review

We haven't found any reviews in the usual places.


3 The Ershov Hierarchy M M Arslanov
4 Complexity and Approximation in Reoptimization G Ausiello V Bonifaci B Escoffer
5 Definability in the Real Universe S B Cooper
6 HFComputability Y L Ershov V G Puzarenko A I Stukachev
7 The Mathematics of Computing between Logic and Physics G Longo T Paul
Motivation Theory and Applications W Maass
9 Experiments on an Internal Approach to Typed Algorithms in Analysis D Normann
An Archeological Look P Odifreddi
11 Reverse Mathematics and Wellordering Principles M Rathjen A Weiermann
12 Discrete Transfinite Computation Models P D Welch

Other editions - View all

Common terms and phrases

Bibliographic information