Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Decision Problem for Ultimately Periodic Sets in Non-standard
  Numeration Systems   Consider a non-standard numeration system like the one built over the
Fibonacci sequence where nonnegative integers are represented by words over
$\{0,1\}$ without two consecutive 1. Given a set $X$ of integers such that the
language of their greedy representations in this system is accepted by a finite
automaton, we consider the problem of deciding whether or not $X$ is a finite
union of arithmetic progressions. We obtain a decision procedure for this
problem, under some hypothesis about the considered numeration system. In a
second part, we obtain an analogous decision result for a particular class of
abstract numeration systems built on an infinite regular language.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an