On the very weak 01 law for random graphs with orders
Abstract
Let us draw a graph R on {0,1,...,n1} by having an edge {i,j} with probability p_(ij), 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_psia^{n+1}_psi is 0, as n goes to infinity.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 1995
 arXiv:
 arXiv:math/9507221
 Bibcode:
 1995math......7221S
 Keywords:

 Mathematics  Logic;
 Mathematics  Combinatorics
 EPrint:
 J. Logic Comput. 6 (1996), 137159