Ebook: Lahlan problem

Novosibirsk: NSTU Publisher, 2006.A generic construction realizing basic characteristics of Ehrenfeucht theories, i.e. of complete rst order theories with nitely many but more then one pairwise non-isomorphic countable models, is stated. On the basis of that construction as well as of the Hrushovski — Herwig generic construction, a solution of the Lachlan problem on existence of stable Ehrenfeucht theories is shown.For persons who interest in the Mathematical Logic.