Undecidability and 1-types in intervals of the computably enumerable degrees (Q1591201)
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scientific article; zbMATH DE number 1546598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Undecidability and 1-types in intervals of the computably enumerable degrees |
scientific article; zbMATH DE number 1546598 |
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Undecidability and 1-types in intervals of the computably enumerable degrees (English)
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23 October 2001
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The authors show that the \(\Pi_5\)-theory of any nontrivial interval \([a,b]\) in the computably enumerable Turing degrees is undecidable in the language \(\left<\leq\right>\) and prove that the elementary theory of this interval has uncountably many 1-types.
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theories of Turing degrees
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undecidable theory
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