Computability, Unsolvability, Randomness
by Stephen G. Simpson
Publisher: The Pennsylvania State University 2009
Number of pages: 151
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.
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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.
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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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