Closing the gap between the continuous functionals and recursion in \(^3E\) (Q1387093)
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scientific article; zbMATH DE number 1158099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closing the gap between the continuous functionals and recursion in \(^3E\) |
scientific article; zbMATH DE number 1158099 |
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Closing the gap between the continuous functionals and recursion in \(^3E\) (English)
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3 December 1998
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The author characterizes, in terms of the type-3 functional \({}^3E\), the closure ordinal of a hierarchy of Scott domains arising from type theory. This result can be alternatively interpreted as providing a representation theorem for recursion in \({}^3E\).
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type-3 functional \({}^3 E\)
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continuous functional
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closure ordinal
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hierarchy of Scott domains
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0.8407329
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0.8306465
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0.82843614
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