Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructive Zermelo-Fraenkel set theory and the limited principle of
  omniscience   In recent years the question of whether adding the limited principle of
omniscience, LPO, to constructive Zermelo-Fraenkel set theory, CZF, increases
its strength has arisen several times. As the addition of excluded middle for
atomic formulae to CZF results in a rather strong theory, i.e. much stronger
than classical Zermelo set theory, it is not obvious that its augmentation by
LPO would be proof-theoretically benign. The purpose of this paper is to show
that CZF +RDC+ LPO has indeed the same strength as CZF, where RDC stands for
relativized dependent choice. In particular, these theories prove the same
Pi-?0-2 theorems of arithmetic.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas