Before revision: In his general theory of inductive inference, Solomonoff uses the prior obtained by this formula, in Bayes' rule for prediction .Li, M. and Vitanyi, P., An Introduction to Kolmogorov Complexity and Its Applications, 3rd Edition, Springer Science and Business Media, N.Y., 2008 In the mathematical formalism used, the observations have the form of finite binary strings, and the universal prior is a probability distribution over the set of finite binary strings .
After revision: In his general theory of inductive inference, Solomonoff uses the method to define a prior, and employs it in Bayes' rule to obtain probabilities of prediction for an algorithm's future outputs .Li, M. and Vitanyi, P., An Introduction to Kolmogorov Complexity and Its Applications, 3rd Edition, Springer Science and Business Media, N.Y., 2008 In the mathematical formalism used, the observations have the form of finite binary strings, and the universal prior is a probability distribution over the set of finite binary strings .