Skip to main content
SpringerLink
Log in

Connections between Relation Algebras and Cylindric Algebras

  • Conference paper
  • First Online:
Relational and Algebraic Methods in Computer Science (RAMICS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9348))

Abstract

We give an informal description of a recursive representability-preserving reduction of relation algebras to cylindric algebras.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Hirsch, R., Hodkinson, I.: Representability is not decidable for finite relation algebras. Trans. Amer. Math. Soc. 353, 1403–1425 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  2. Hirsch, R., Hodkinson, I.: Relation algebras by games. Studies in Logic and the Foundations of Mathematics, vol. 147. North-Holland, Amsterdam (2002)

    MATH  Google Scholar 

  3. Hodkinson, I.: A construction of cylindric and polyadic algebras from atomic relation algebras. Algebra Universalis 68, 257–285 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lyndon, R.: The representation of relational algebras. Annals of Mathematics 51(3), 707–729 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  5. Maddux, R.D.: Topics in relation algebra. Ph.D. thesis, University of California, Berkeley (1978)

    Google Scholar 

  6. Maddux, R.D.: Non-finite axiomatizability results for cylindric and relation algebras. J. Symbolic Logic 54(3), 951–974 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  7. Maddux, R.D.: Introductory course on relation algebras, finite-dimensional cylindric algebras, and their interconnections. In: Andréka, H., Monk, J.D., Németi, I. (eds.) Algebraic Logic. Colloq. Math. Soc. J. Bolyai, vol. 54, pp. 361–392. North-Holland, Amsterdam (1991)

    Google Scholar 

  8. Monk, J.D.: Studies in cylindric algebra. Ph.D. thesis, University of California, Berkeley (1961)

    Google Scholar 

  9. Tarski, A.: On the calculus of relations. J. Symbolic Logic 6, 73–89 (1941)

    Article  MathSciNet  MATH  Google Scholar 

  10. Tarski, A., Givant, S.R.: A formalization of set theory without variables, vol. 41. Colloquium Publications, Amer. Math. Soc., Providence, Rhode Island (1987)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computing, Imperial College London, London, UK

    Ian Hodkinson

Authors
  1. Ian Hodkinson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. McMaster University, Hamilton, Ontario, Canada

    Wolfram Kahl

  2. Brock University, St. Catharines, Ontario, Canada

    Michael Winter

  3. Universidade do Minho, Braga, Portugal

    José Oliveira

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Hodkinson, I. (2015). Connections between Relation Algebras and Cylindric Algebras. In: Kahl, W., Winter, M., Oliveira, J. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2015. Lecture Notes in Computer Science(), vol 9348. Springer, Cham. https://doi.org/10.1007/978-3-319-24704-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-24704-5_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24703-8

  • Online ISBN: 978-3-319-24704-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation