Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating clones with conservative near-unanimity operation   Due to the Baker-Pixley theorem we know that every clone over a finite domain
$A$ containing a near-unanimity operation $g$ is finitely generated. Therefore
there exists an integer $k$ such that the clone is generated by its $k$-ary
part. In this paper we are interested in the size of $k$ for a fixed $A$ and
fixed arity of a conservative $g$. We obtain lower bounds for all arities and
they turn out to be sharp for arity three.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol