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.
展开▼