Introduction to Computability Theory
by Dag Normann
Publisher: The University of Oslo 2010
Number of pages: 95
This text is essentially consisting of two parts, Classical Computability Theory and Generalized Computability Theory. We will assume that the reader is familiar with the standard vocabulary of logic and set theory, but no advanced background from logic is required.
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by Stephen G. Simpson - The Pennsylvania State University
I exposit Turing's theory of computability and unsolvability, as subsequently developed by Kleene and Post. Second, I provide an introductory account of a research area which is currently very active: algorithmic randomness and Kolmogorov complexity.
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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.
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