On rational limits of Shelah–Spencer graphs

Justin Brody, M. C. Laskowski
2012 Journal of Symbolic Logic (JSL)  
Given a sequence {α n } in (0,1) converging to a rational, we examine the model theoretic properties of structures obtained as limits of Shelah-Spencer graphs G(). We show that in most cases the model theory is either extremely well-behaved or extremely wild, and characterize when each occurs.
doi:10.2178/jsl/1333566638 fatcat:uev5bsc5gje3jccg3mlnk2mova