Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifier-free descriptions for quantifier solutions to interval linear
  systems of relations   We study systems of relations of the form $Ax\,\sigma\,b$, where $\sigma$ is
a vector of binary relations with the components "$=$", "$\geq$" and "$\leq$",
and the parameters (elements of the matrix $A$ and right-hand side vector $b$)
can take values from prescribed intervals. What is considered to be the set of
its solutions depends on which logical quantifier is associated with each
interval-valued parameter and what is the order of the quantifier prefixes for
certain parameters. For solution sets that correspond to the quantifier prefix
of a general form, we present equivalent quantifier-free descriptions in the
classical interval arithmetic, in Kaucher complete interval arithmetic and in
the usual real arithmetic.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio