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Criteria of autostability for 1-decidable models - MaRDI portal

Criteria of autostability for 1-decidable models (Q1317625)

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scientific article; zbMATH DE number 536675
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Criteria of autostability for 1-decidable models
scientific article; zbMATH DE number 536675

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    Criteria of autostability for 1-decidable models (English)
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    12 April 1994
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    An autostability criterion for constructive models with a decidable \(\exists\)-diagram is presented in terms of intrinsical decidability of a suitable set of orbits of tuples of elements from a model. The criterion in question is conceptually different from the well-known autostability criterion for narrower classes of models, which is formulated in terms of the existence of a computable sequence of \(\exists\)-formulas with a fixed finite number of parameters.
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    constructive models with decidable \(\exists\)-diagram
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    autostability criterion
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