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Aspects of Complexity: Minicourses in Algorithmics, Complexity and Computational Algebra, Mathematics Workshop, Kaikoura, January 7-15, 2000

✍ Scribed by Rod Downey, Denis Hirschfeld


Publisher
Walter De Gruyter Inc
Year
2001
Tongue
English
Leaves
180
Series
De Gruyter Series in Logic and Its Applications 04
Category
Library

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✦ Synopsis


This text contains 8 detailed expositions of the lectures given at the Kaikoura 2000 Workshop on Computability, Complexity, and Computational Algebra. Topics covered include basic models and questions of complexity theory, the Blum-Shub-Smale model of computation, probability theory applied to algorithmics (randomized alogrithms), parametric complexity, Kol mogorov complexity of finite strings, computational group theory, counting problems, and canonical models of ZFC providing a solution to continuum hypothesis. The text addresses students in computer science or mathematics, and professionals in these areas who seek a complete, but gentle introduction to a wide range of techniques, concepts, and research horizons in the area of computational complexity in a broad sense.


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