Computability, Unsolvability, Randomness
by Stephen G. Simpson
Publisher: The Pennsylvania State University 2009
Number of pages: 151
Description:
I exposit Turing's 1936 theory of computability and unsolvability, as subsequently developed by Kleene and Post. This theory is of the essence in theoretical computer science and in the study of unsolvable mathematical problems. Second, I provide an introductory account of a research area which is currently very active: algorithmic randomness and Kolmogorov complexity.
Download or read it online for free here:
Download link
(910KB, PDF)
Similar books
Prolog Experiments in Discrete Mathematics, Logic, and Computability
by James Hein - Portland State University
Programming experiments designed to help learning of discrete mathematics, logic, and computability. Most of the experiments are short and to the point, just like traditional homework problems, so that they reflect the daily classroom work.
(15220 views)
by James Hein - Portland State University
Programming experiments designed to help learning of discrete mathematics, logic, and computability. Most of the experiments are short and to the point, just like traditional homework problems, so that they reflect the daily classroom work.
(15220 views)
Computability Theory
by Wilfried Sieg - Carnegie Mellon University
Computability is the basic theoretical concept for computer science, artificial intelligence and cognitive science. This essay discusses, at its heart, methodological issues that are central to any theory that is to reflect parts of our experience.
(3804 views)
by Wilfried Sieg - Carnegie Mellon University
Computability is the basic theoretical concept for computer science, artificial intelligence and cognitive science. This essay discusses, at its heart, methodological issues that are central to any theory that is to reflect parts of our experience.
(3804 views)
Computability and Complexity
- Wikibooks
This book is intended as an introductory textbook in Computability Theory and Complexity Theory, with an emphasis on Formal Languages. Its target audience is CS and Math students with some background in programming and data structures.
(4963 views)
- Wikibooks
This book is intended as an introductory textbook in Computability Theory and Complexity Theory, with an emphasis on Formal Languages. Its target audience is CS and Math students with some background in programming and data structures.
(4963 views)
Introduction to Computability Theory
by Dag Normann - The University of Oslo
This text is consisting of two parts, Classical Computability Theory and Generalized Computability Theory. We assume that the reader is familiar with the standard vocabulary of logic and set theory, but no advanced background from logic is required.
(1907 views)
by Dag Normann - The University of Oslo
This text is consisting of two parts, Classical Computability Theory and Generalized Computability Theory. We assume that the reader is familiar with the standard vocabulary of logic and set theory, but no advanced background from logic is required.
(1907 views)