\(\Pi_1^0\) classes, Peano arithmetic, randomness, and computable domination (Q976541)
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scientific article; zbMATH DE number 5720474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\Pi_1^0\) classes, Peano arithmetic, randomness, and computable domination |
scientific article; zbMATH DE number 5720474 |
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\(\Pi_1^0\) classes, Peano arithmetic, randomness, and computable domination (English)
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11 June 2010
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The paper provides an overview of research and results obtained in the study of \(\Pi_{1}^{0}\) classes, Peano arithmetic, randomness and computable domination. Those topics have been -- from the historical point of view -- topics of interest in computability theory. They are still a source of problems and ideas. Links and connections between these topics are indicated. Their meaning for modern research is stressed.
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\(\Pi^0_1\) classes
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basis theorems
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Peano arithmetic
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randomness
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computable domination
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hyperimmunity
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survey paper
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