Bounded query classes and the difference hierarchy (Q1114678)
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scientific article; zbMATH DE number 4083607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded query classes and the difference hierarchy |
scientific article; zbMATH DE number 4083607 |
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Bounded query classes and the difference hierarchy (English)
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1989
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Let A be any nonrecursive set. We define a hierarchy of sets (and a corresponding hierarchy of degrees) that are reducible to A based on bounding the number of queries to A that an oracle machine can make. When A is the halting problem K our hierarchy of sets interleaves with the difference hierarchy on the r.e. sets in a logarithmic way; this follows from a tradeoff between the number of parallel queries and the number of serial queries needed to compute a function with oracle K.
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hierarchy of sets
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hierarchy of degrees
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oracle machine
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halting problem
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parallel queries
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serial queries
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0.8387275
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0.8344552
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0.8304436
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0.8240894
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