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This article is cited in 4 scientific papers (total in 4 papers) On autostability of almost prime models relative to strong constructivizations S. S. Goncharov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences Abstract: Questions of autostability and algorithmic dimension of models go back to papers by A. I. Malcev and by A. Fröhlich and J. C. Shepherdson in which the effect of the existence of computable presentations which are non-equivalent from the viewpoint of their algorithmic properties was first discovered. Today there are many papers by various authors devoted to investigations of such questions. The present paper deals with the question of inheritance of the properties of autostability and non-autostability relative to strong constructivizations under elementary extensions for almost prime models. Bibliography: 37 titles. Keywords: computable model, constructive model, strongly constructive model, autostability, prime model, almost prime model, Ehrenfeucht theory, decidable theory, decidable model. DOI: https://doi.org/10.4213/rm9373   Full text:
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English version: Russian Mathematical Surveys, 2010, 65:5, Bibliographic databases:      
UDC: 517.1+519.5 MSC: Primary 03C57; Secondary 03C35, 03D45, 03D80 Received: 29.06.2010 Citation: S. S. Goncharov, “On autostability of almost prime models relative to strong constructivizations”, Uspekhi Mat. Nauk, 65:5(395) (2010), 
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