Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A finite basis theorem for residually finite, congruence
  meet-semidistributive varieties   We derive a Mal'cev condition for congruence meet-semidistributivity and then
use it to prove two theorems. Theorem A: if a variety in a finite language is
congruence meet-semidistributive and residually less than some finite cardinal,
then it is finitely based. Theorem B: there is an algorithm which, given m<w
and a finite algebra in a finite language, determines whether the variety
generated by the algebra is congruence meet-semidistributive and residually
less then m.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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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: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph