Computable Models of Theories with Few Models

Notre Dame Journal of Formal Logic 38 (2):165-178 (1997)
Abstract
In this paper we investigate computable models of -categorical theories and Ehrenfeucht theories. For instance, we give an example of an -categorical but not -categorical theory such that all the countable models of except its prime model have computable presentations. We also show that there exists an -categorical but not -categorical theory such that all the countable models of except the saturated model, have computable presentations
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