Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 0-1 laws   We give a framework for dealing with 0-1 laws (for first order logic) such
that expanding by further random structure tend to give us another case of the
framework. From another perspective we deal with 0-1 laws when the number of
solutions of first order formulas with parameters behave dichotomically.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex