Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kolmogorov complexity and symmetric relational structures   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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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess