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\(\Sigma_ 5\)-completeness of index sets arising from the lattice of recursively enumerable sets - MaRDI portal

\(\Sigma_ 5\)-completeness of index sets arising from the lattice of recursively enumerable sets (Q1919553)

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scientific article; zbMATH DE number 908480
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\(\Sigma_ 5\)-completeness of index sets arising from the lattice of recursively enumerable sets
scientific article; zbMATH DE number 908480

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    \(\Sigma_ 5\)-completeness of index sets arising from the lattice of recursively enumerable sets (English)
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    12 May 1997
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    The author shows that the index set of the major subsets is \(\Sigma_5\)-complete. This answers a question left open by Lempp in 1987. The ``iterated-trees'' method is used in the proof.
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    recursively enumerable set
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    hierarchy
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    index set
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