Kolmogorov complexity and symmetric relational structures

W. L. Fouché; P. H. Potgieter

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arXiv · cs/0402034

Kolmogorov complexity and symmetric relational structures

W. L. Fouché·P. H. Potgieter

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Abstract

We study partitions of Fra\"{\i}ss\'{e} limits of classes of finite relational structures where the partitions are encoded by infinite binary sequences which are random in the sense of Kolmogorov, Chaitin and Solomonoff. It is shown that partition by a random sequence of a Fra\"{\i}ss\'{e} limit preserves the limit property of the object.

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W. L. Fouché, P. H. Potgieter. 2004-02-16. Kolmogorov complexity and symmetric relational structures. https://arxiv.org/abs/cs/0402034

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