Skip to main content

Expressive Power: The Infinite Case

  • Chapter
Book cover Constraint Databases

Abstract

After studying, in the previous chapter, the expressive power of constraint queries over finite databases, we now turn to results concerning the complexity and expressive power of constraint query languages over possibly infinite, finitely representable, databases.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Bibliographic Notes

  1. A. Schönhage and V. Strassen. Schnelle Multiplikation grosser Zahlen. Computing, 7: 281–292, 1971.

    Article  MATH  Google Scholar 

  2. M. L. Furst, J. B. Saxe, and M. Sipser. Parity, circuits, and the polynomial-time hierarchy. Mathematical Systems Theory (MST), 17 (1): 13–27, 1984.

    Article  MathSciNet  MATH  Google Scholar 

  3. N. Immerman. Languages that capture complexity classes. SIAM Journal on Computing, 16 (4): 760–778, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. C. Kanellakis and D. Q. Goldin. Constraint programming and database query languages. In Proceedings 2nd Conference on Theoretical Aspects of Computer Software (TACS’94), volume 789 of Lecture Notes in Computer Science, pages 96–120. Springer-Verlag, 1994.

    Google Scholar 

  5. S. Grumbach, J. Su, and C. Tollu. Linear constraint query languages: Expressive power and complexity. In D. Leivant, editor, International Workshop on Logic and Computational Complexity (LCC’94), volume 960 of Lecture Notes in Computer Science, pages 426–446. Springer-Verlag, 1995.

    Google Scholar 

  6. P. C. Kanellakis, G. M. Kuper, and P. Z. Revesz. Constraint query languages. Journal of Computer and System Sciences, 51 (1): 26–52, 1995.

    Article  MathSciNet  Google Scholar 

  7. S. Grumbach and G. M. Kuper. Tractable recursion over geometric data. In Proceedings of the and International Conference on Principles and Practice of Constraint Programming (CP’97), volume 1330 of Lecture Notes in Computer Science, pages 450–462. Springer-Verlag, 1997.

    Google Scholar 

  8. S. Grumbach and J. Su. Finitely representable databases. Journal of Computer and System Sciences (JCSS), 55 (2): 273–298, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Grumbach and J. Su. Queries with arithmetical constraints. The- oretical Computer Science (TCS), 173 (1): 151–181, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Benedikt, G. Dong, L. Libkin, and L. Wong. Relational expressive power of constraint query languages. Journal of the ACM, 45 (1): 134, 1998.

    Article  MathSciNet  Google Scholar 

  11. E. Grädel and S. Kreutzer. Descriptive complexity theory for constraint databases. In Proceedings of the Annual Conference for the European Association for Computer Science Logic (CSL’99), Lecture Notes in Computer Science. Springer-Verlag, 1999.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Grumbach, S., Kuper, G., Su, J. (2000). Expressive Power: The Infinite Case. In: Kuper, G., Libkin, L., Paredaens, J. (eds) Constraint Databases. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04031-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04031-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08542-0

  • Online ISBN: 978-3-662-04031-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics