21 citations · 59 across the 25 of their papers we have counts for
4 papers · 1 filter
Definable families of theories, related calculi and ranks
Nurlan Markhabatov, Sergey Sudoplatov
We consider sentence-definable and diagram-definable subfamilies of given families of theories, calculi for these subfamilies, as well dynamics and characteristics of these subfami…
Ranks for families of all theories of given languages
Nurlan Markhabatov, Sergey Sudoplatov
For families of all theories of arbitrary given languages we describe ranks and degrees. In particular, we characterize (non-)totally transcendental families. We apply these charac…
Approximations of theories
Sergey Sudoplatov
We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with fini…
Ranks for families of theories and their spectra
Sergey Sudoplatov
We define ranks and degrees for families of theories, similar to Morley rank and degree, as well as Cantor-Bendixson rank and degree, and the notion of totally transcendental famil…