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Algebra i logika, 2003, Volume 42, Number 2, Pages 182–193 (Mi al24)  
This article is cited in 10 scientific papers (total in 10 papers)

Degree Spectra of Relations on Boolean Algebras

S. S. Goncharova, R. Downeyb, D. Hirschfeldtc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Victoria University of Wellington, School of Mathematics, Statistics and Computer Science
c University of Chicago
Full-text PDF (180 kB) Citations (10)
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Abstract: We show that every computable relation on a computable Boolean algebra $\mathfrak B$ is either definable by a quantifier-free formula with constants from $\mathfrak B$ (in which case it is obviously intrinsically computable) or has infinite degree spectrum.
Keywords: computable Boolean algebra, computable relation, intrinsically computable relation.
Received: 21.11.2000
English version:
Algebra and Logic, 2003, Volume 42, Issue 2, Pages 105–111
DOI: https://doi.org/10.1023/A:1023350306979
Bibliographic databases:
UDC: 510.5+512.563
Language: Russian
Citation: S. S. Goncharov, R. Downey, D. Hirschfeldt, “Degree Spectra of Relations on Boolean Algebras”, Algebra Logika, 42:2 (2003), 182–193; Algebra and Logic, 42:2 (2003), 105–111
Citation in format AMSBIB
\Bibitem{GonDowHir03}
\by S.~S.~Goncharov, R.~Downey, D.~Hirschfeldt
\paper Degree Spectra of Relations on Boolean Algebras
\jour Algebra Logika
\yr 2003
\vol 42
\issue 2
\pages 182--193
\mathnet{http://mi.mathnet.ru/al24}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2003628}
\zmath{https://zbmath.org/?q=an:1034.03043}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 2
\pages 105--111
\crossref{https://doi.org/10.1023/A:1023350306979}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23844505474}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :124
    References:74
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