Kolmogorov characterizations of complexity classes (Q804291)
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scientific article; zbMATH DE number 4201620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kolmogorov characterizations of complexity classes |
scientific article; zbMATH DE number 4201620 |
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Kolmogorov characterizations of complexity classes (English)
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1991
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The paper uses the notion of (resource-bounded) Kolmogorov-complexity to characterize the classes \(\Theta_ k^ p=P(\Sigma_ k^ p)\)- with logarithmically many queries to the oracle. The notion of pronouncements (query answer) of an oracle machine is introduced. Its Kolmogorov complexity determines whether classes of the polynomial-time hierarchy collapse.
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polynomial hierarchy
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Kolmogorov complexity
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