Computable structures of rank omega_1^{CK}
arXiv:math/0508507
Abstract
We obtain a computable structure of Scott rank omega_1^{CK} (call this ock), and give a general coding procedure that transforms any hyperarithmetical structure A into a computable structure A' such that the rank of A is ock, ock+1, or < ock iff the same is true of A'.
13 pages, submitted to the Journal of Mathematical Logic Aug 2004