Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic and Combinatorial Tools for State Complexity : Application to
  the Star-Xor Problem   We investigate the state complexity of the star of symmetrical differences
using modifiers and monsters. A monster is an automaton in which every function
from states to states is represented by at least one letter. A modifier is a
set of functions allowing one to transform a set of automata into one
automaton. These recent theoretical concepts allow one to find easily the
desired state complexity. We then exhibit a witness with a constant size
alphabet.

10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg