Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the very weak 0-1 law for random graphs with orders   Let us draw a graph R on {0,1,...,n-1} by having an edge {i,j} with
probability p_(|i-j|), where sum_i p_i is finite and let M_n=(n,<,R). For a
first order sentence psi let a^n_psi be the probability of ``M_n satisfies
psi''. We prove that the limit of a^n_psi-a^{n+1}_psi is 0, as n goes to
infinity.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org