Computable structures of rank omega_1^{CK}
Julia F. Knight, Millar, Jessica · arXiv (Cornell University) · 2005
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'.