Model complete universal Horn classes (Q800351)
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scientific article; zbMATH DE number 3875245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Model complete universal Horn classes |
scientific article; zbMATH DE number 3875245 |
Statements
Model complete universal Horn classes (English)
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1983
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It is shown that the class of (non-trivial) models of a universal Horn theory \(\theta\) whose infinite part is model complete is the union of a sequence of pairwise disjoint complete and model complete universal Horn classes. This result is applied to determine the number of non-isomorphic models of \(\theta\) (under the additional assumption that \(\theta\) is locally finite).
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models of a universal Horn theory
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universal Horn classes
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number of non- isomorphic models
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