Positive Numberings in Admissible Sets

Siberian Mathematical Journal(2020)

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摘要
We construct the example of an admissible set 𝔸 such that there exists a positive computable 𝔸 -numbering of the family of all 𝔸 -c.e. sets, whereas any negative computable 𝔸 -numberings are absent.
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关键词
numbering,decidable numbering,positive numbering,negative numbering,computable numbering,computable set,computably enumerable set,admissible set
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