The book 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, Kolmogorov 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.

Aspects of Complexity: Minicourses in Algorithmics, Complexity and Computational Algebra. Mathematics Workshop, Kaikoura, January 7-15, 2000 (De Gruyter Series in Logic and Its Applications Book 4)

Aspects of Complexity: Minicourses in Algorithmics, Complexity and Computational Algebra. Mathematics Workshop, Kaikoura, January 7-15, 2000 (De Gruyter Series in Logic and Its Applications Book 4) PDF

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