Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Farkas' Lemma and Related Propositions in BISH   In this paper we analyse in the framework of constructive mathematics (BISH)
the validity of Farkas' lemma and related propositions, namely the Fredholm
alternative for solvability of systems of linear equations, optimality criteria
in linear programming, Stiemke's lemma and the Superhedging Duality from
mathematical finance, and von Neumann's minimax theorem with application to
constructive game theory.

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org