We give an example of a simple ω-categorical theory such that for any finite set of parameters the corresponding constant expansion does not satisfy the PAPA. We describe a wide class of homogeneous structures with generic automorphisms and show that some natural reducts of our example belong to this class.
@article{1134397660,
author = {Ivanov, A.},
title = {Automorphisms of Homogeneous Structures},
journal = {Notre Dame J. Formal Logic},
volume = {46},
number = {3},
year = {2005},
pages = { 419-424},
language = {en},
url = {http://dml.mathdoc.fr/item/1134397660}
}
Ivanov, A. Automorphisms of Homogeneous Structures. Notre Dame J. Formal Logic, Tome 46 (2005) no. 3, pp. 419-424. http://gdmltest.u-ga.fr/item/1134397660/