With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy (Q1118405)
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scientific article; zbMATH DE number 4094814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy |
scientific article; zbMATH DE number 4094814 |
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With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy (English)
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1989
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The Lebesgue measure on [0,1] carries over to a measure on the oracle space \(2^{\{0,1\}^*}\) by identifying subsets of \(\{0,1\}^*\) via their characteristic functions with reals. It is shown that the set of all oracles A with \(PSPACE^ A\neq PH^ A\) has measure 1.
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PSPACE
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polynomial time hiararchy
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random oracle
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0.9535747
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0.88173324
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0.8636987
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0.8523894
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0.8502971
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0.8498797
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