Algebra and Logic

, Volume 42, Issue 2, pp 105–111 | Cite as

Degree Spectra of Relations on Boolean Algebras

  • S. S. Goncharov
  • R. G. Downey
  • D. R. Hirschfeldt


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.

computable Boolean algebra computable relation intrinsically computable relation 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • S. S. Goncharov
    • 1
  • R. G. Downey
    • 2
  • D. R. Hirschfeldt
    • 3
  1. 1.Akademika Koptyuga Prospekt, 4Institute of Mathematics SB RASNovosibirsk
  2. 2.School of Mathematical and Computing SciencesVictoria UniversityWellingtonNew Zealand
  3. 3.Department of MathematicsUniversity of ChicagoUSA

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