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Numberings in the analytical hierarchy

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Publication:828123
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DOI10.1007/S10469-020-09613-9zbMath1485.03171OpenAlexW3109381705MaRDI QIDQ828123

S. S. Ospichev, M. M. Yamaleev, Manat Mustafa, Nikolay Bazhenov

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.1007/s10469-020-09613-9



Mathematics Subject Classification ID

Theory of numerations, effectively presented structures (03D45) Hierarchies of computability and definability (03D55)


Related Items (4)

Rogers semilattices of punctual numberings ⋮ Rogers semilattices of limitwise monotonic numberings ⋮ On universal pairs in the Ershov hierarchy ⋮ Theories of Rogers semilattices of analytical numberings




Cites Work

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  • Reductions between types of numberings
  • Undecidability of elementary theories of Rogers semilattices of analytical hierarchies
  • Isomorphism types of Rogers semilattices for families from different levels of the arithmetical hierarchy
  • Set Theory
  • The Meta-R.E. sets, but not the Π11 sets, can be enumerated without repetition




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