Аңдатпа
In the paper, we investigate Ehrenfeucht theories, that is, theories which have nitely many countable models but which are not countably categorical.More precisely, we count all possible numbers of countable models of the theory DMT of dense meettrees expanded by several sequences of constants including decreasing ones and by unary predicates with nite realizations.Also, we study the realizations of models over a certain set of formulas based on the Rudin-Keisler preorders on models.