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A fixed point for the jump operator on structures

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Publication:5300071
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DOI10.2178/jsl.7802050zbMath1305.03036arXiv1106.0908OpenAlexW2016482046MaRDI QIDQ5300071

Antonio Montalbán

Publication date: 24 June 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0908

zbMATH Keywords

computable structurehigher-order arithmeticjump operatorEhrenfeucht-Mostowski theoremeffective interpretabilityordinal indiscernibles


Mathematics Subject Classification ID

Second- and higher-order arithmetic and fragments (03F35) Computable structure theory, computable model theory (03C57)


Related Items

THE TREE OF TUPLES OF A STRUCTURE, EXPANDING THE REALS BY CONTINUOUS FUNCTIONS ADDS NO COMPUTATIONAL POWER, Effectively Existentially-Atomic Structures, BOREL FUNCTORS AND INFINITARY INTERPRETATIONS, Finitely generated groups are universal among finitely generated structures, COMPUTABLE FUNCTORS AND EFFECTIVE INTERPRETABILITY, Constructing decidable graphs from decidable structures



Cites Work

  • Fixed points for the jump operator
  • The jump operation for structure degrees
  • Generic copies of countable structures
  • Computable structures and the hyperarithmetical hierarchy
  • A Jump Inversion Theorem for the Degree Spectra
  • Unnamed Item
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