Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reverse mathematics and colorings of hypergraphs   Working in subsystems of second order arithmetic, we formulate several
representations for hypergraphs. We then prove the equivalence of various
vertex coloring theorems to ${\sf WKL}_0$, ${\sf ACA}_0$ and $\Pi ^1_ 1$-${\sf
CA}_0$.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph