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Relatively Intrinsically Computable Relations on Boolean Algebras with a Distinguished Set of Atoms

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Abstract

We prove the theorem that fully describes relatively intrinsically computable relations on Boolean algebras with a distinguished set of atoms.

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References

  1. Goncharov S. S., Downey R. G., and Hirschfeldt D. R., “Degree spectra of relations on Boolean algebras,” Algebra and Logic, vol. 42, no. 2, 105–111 (2003).

    Article  MathSciNet  Google Scholar 

  2. Alaev P. E., “Computable ideals in I-algebras,” Algebra and Logic, vol. 49, no. 2, 103–114 (2010).

    Article  MathSciNet  Google Scholar 

  3. Ash C., Knight J., Manasse M., and Slamon T., “Generic copies of countable structures,” Ann. Pure Appl. Logic, vol. 42, no. 3, 195–205 (1989).

    Article  MathSciNet  Google Scholar 

  4. Chisholm J., “Effective modal theory vs. recursive modal theory,” J. Symb. Log., vol. 55, no. 3, 1168–1191 (1990).

    Article  MathSciNet  Google Scholar 

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Acknowledgment

The author is grateful to P. E. Alaev for stating the problem and useful discussions.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    M. N. Leontyeva

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  1. M. N. Leontyeva
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Correspondence to M. N. Leontyeva.

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Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 622–633.

The author was funded within the Government Task to the Sobolev Institute of Mathematics (Project 0314-2019-0002) under the financial support of the Russian Foundation for Basic Research (Project 20-01-00300).

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Leontyeva, M.N. Relatively Intrinsically Computable Relations on Boolean Algebras with a Distinguished Set of Atoms. Sib Math J 61, 490–498 (2020). https://doi.org/10.1134/S0037446620030106

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  • DOI: https://doi.org/10.1134/S0037446620030106

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