期刊名称:Electronic Colloquium on Computational Complexity
印刷版ISSN:1433-8092
出版年度:2001
卷号:2001
出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
摘要:We study different notions of descriptive complexity of computable sequences. Our main result states that if for almost all n the Kolmogorov complexity of the n-prefix of an infinite binary sequence x conditional to n is less than m then there is a program of length m^2+O(1) that for almost all n given n as input prints the n-prefix of x. We prove that this bound is tight up to a constant factor.