Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximations of theories   We study approximations of theories both in general context and with respect
to some natural classes of theories. Some kinds of approximations are
considered, connections with finitely axiomatizable theories and minimal
generating sets of theories as well as their $e$-spectra are found.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph