Title
Ups and Downs of First Order Sentences on Random Graphs
Abstract
Shelah and Spencer [1] proved that the zero-one law holds for therst order sentences on random graphs G(n; n) whenever is axed positive irrational. This raises the question what zero-one valuedfunctions on the positive irrationals arise as the limit probability ofa rst order sentence on these graphs. Here we prove two necessaryconditions on these functions, a number-theoretic and a complexitycondition. We hope to prove in a subsequent paper that these conditionstogether...
Year
DOI
Venue
2000
10.1007/s004930070025
Combinatorica
Keywords
Field
DocType
first order,random graph
Discrete mathematics,Combinatorics,Random graph,First order,Mathematics
Journal
Volume
Issue
ISSN
20
2
0209-9683
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Joel Spencer1414.73
Gábor Tardos21261140.58