Portal de Periódicos da CAPES

Fields of Logic and Computation III

2020; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-030-48006-6

1611-3349

Vladimir Vovk,

Probability and Statistical Research

This paper proposes an alternative language for expressing results of the algorithmic theory of randomness. The language is more precise in that it does not involve unspecified additive or multiplicative constants, making mathematical results, in principle, applicable in practice. Our main testing ground for the proposed language is the problem of defining Bernoulli sequences, which was of great interest to Andrei Kolmogorov and his students.