# DECIDABLE MODELS OF ω-STABLE THEORIES

@article{Andrews2014DECIDABLEMO,
title={DECIDABLE MODELS OF $\omega$-STABLE THEORIES},
author={Uri Andrews},
journal={The Journal of Symbolic Logic},
year={2014},
volume={79},
pages={186 - 192}
}
• U. Andrews
• Published 1 March 2014
• Mathematics
• The Journal of Symbolic Logic
Abstract We characterize the ω-stable theories all of whose countable models admit decidable presentations. In particular, we show that for a countable ω-stable T, every countable model of T admits a decidable presentation if and only if all n-types in T are recursive and T has only countably many countable models. We further characterize the decidable models of ω-stable theories with countably many countable models as those which realize only recursive types.
2 Citations
There is no classification of the decidably presentable structures
There is no reasonable classification of the decidably presentable structures and it is shown that the index set of the computable structures with decidable presentations is [Formula: see text]-complete.
Algebraic structures computable without delay
• Mathematics, Computer Science
Theor. Comput. Sci.
• 2017

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