Prime Models of Theories of Computable Linear Orderings
Status: published in the Proceedings of the American
Mathematical Society, vol. 129 (2001), pp. 3079 - 3083.
version and preprint
Abstract.We answer a long-standing question of Rosenstein by
exhibiting a complete theory of linear orderings with both a
computable model and a prime model, but no computable prime model. The
proof uses the relativized version of the concept of limitwise