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Computable fields and the bounded Turing reduction

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Publication:408170
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DOI10.1016/j.apal.2011.11.007zbMath1250.03057OpenAlexW1978583361MaRDI QIDQ408170

Rebecca M. Steiner

Publication date: 29 March 2012

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2011.11.007


zbMATH Keywords

computability\(\mathrm {m}\)-reductionbounded Turing reductioncomputable fieldcomputable model theory


Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Other degrees and reducibilities in computability and recursion theory (03D30) Computable structure theory, computable model theory (03C57)


Related Items

Minimal Weak Truth Table Degrees and Computably Enumerable Turing Degrees ⋮ Computable procedures for fields



Cites Work

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  • Is it harder to factor a polynomial or to find a root?
  • Effective procedures in field theory
  • Computable Fields and Weak Truth-Table Reducibility
  • d-computable categoricity for algebraic fields
  • Computable Algebra, General Theory and Theory of Computable Fields
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