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Completeness in the arithmetical hierarchy and fixed points

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Publication:583200
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DOI10.1007/BF01980603zbMath0692.03030OpenAlexW1979697886MaRDI QIDQ583200

Marat M. Arslanov

Publication date: 1989

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01980603


zbMATH Keywords

\(\Sigma_ m\)-completeness criteria for \(\Sigma_ n\)-setsindex sets of n-recursively enumerable sets


Mathematics Subject Classification ID

Recursively (computably) enumerable sets and degrees (03D25) Hierarchies of computability and definability (03D55)


Related Items (3)

Completeness criteria for a class of reducibilities ⋮ Things that can be made into themselves ⋮ Fixed-point selection functions



Cites Work

  • The recursively enumerable degrees are dense
  • Definable structures in the lattice of recursively enumerable sets
  • Rice Theorems For D.R.E. Sets
  • On the Degrees of Index Sets
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