Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Profinite Approach to Stable Pairs   We give a short proof, using profinite techniques, that idempotent
pointlikes, stable pairs and triples are decidable for the pseudovariety of
aperiodic monoids. Stable pairs are also described for the pseudovariety of all
finite monoids.

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The categories of this paper are: q-alg
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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: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th