Categoricity Spectra for Rigid Structures
Ekaterina Fokina, A. N. Frolov, ISKANDER SH. KALIMULLIN · Notre Dame Journal of Formal Logic · 2015
For a computable structure M, the categoricity spectrum is the set of all Turing degrees capable of computing isomorphisms among arbitrary computable copies of M. If the spectrum has a least degree, this degree is called the degree of categoricity of M. In this paper we investigate spectra of categoricity for computable rigid structures. In particular, we give examples of rigid structures without degrees of categoricity.