Space-Bounded Online Kolmogorov Complexity

Student: Mariya Marchenko

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Year of Graduation: 2024

We focus our research on the two versions of Kolmogorov complexity: the space-bounded online Kolmogorov complexity and the weighted Kolmogorov complexity. For the former version we prove the symmetry of information property, which does not hold for the unbounded online Kolmogorov complexity. For the latter we prove that it is equal to the usual Kolmogorov complexity within a multiplicative and an additive constant.

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