Computable groups of automorphisms of models (Q1094411)
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scientific article; zbMATH DE number 4025414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computable groups of automorphisms of models |
scientific article; zbMATH DE number 4025414 |
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Computable groups of automorphisms of models (English)
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1986
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The paper is concerned with computable groups. A criterion for the group of recursive automorphisms of a constructive (recursive) model to be computable is given. The author proves that the group of recursive automorphisms of a strongly constructive (decidable) model of an \(\omega\)-categorical theory is uncomputable if the theory has the property that its set of atomic formulae is recursive.
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arithmetical hierarchy, recursive model
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decidable model
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computable groups
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group of recursive automorphisms
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0.94993913
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0.92819977
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0.9231049
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0.91966265
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