Skip to main content

On the Expressive Power of Graph Logic

  • Conference paper
Computer Science Logic (CSL 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4207))

Included in the following conference series:

Abstract

Graph Logic, a query language being a sublogic of Monadic Second Order Logic is studied in [CGG02]. In the paper [DGG04] the expressiveness power of Graph Logic is examined, and it is shown, for many MSO properties, how to express them in Graph Logic. But despite of the positive examples, it is conjectured there that Graph Logic is strictly less expressive than MSO Logic. Here we give a proof of this conjecture.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Ajtai, M., Fagin, R., Stockmeyer, L.: The Closure of Monadic \(\cal NP\). In: Proc. of 13th STOC, pp. 309–318 (1998)

    Google Scholar 

  2. Cardelli, L., Gardner, P., Ghelli, G.: A spatial logic for querying graphs. In: Widmayer, P., Triguero, F., Morales, R., Hennessy, M., Eidenbenz, S., Conejo, R. (eds.) ICALP 2002. LNCS, vol. 2380, pp. 597–610. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Courcelle, B.: Graph rewriting: An algebraic and logic approach. In: van Leeuwen, J. (ed.) Handbook of Theoretical Computer Science, vol. 2, pp. 194–242. Elsevier Science Publishers, Amsterdam (1990)

    Google Scholar 

  4. Dawar, A., Gardner, P., Ghelli, G.: Expressiveness and Complexity of Graph Logic, Imperial College, Department of Computing Technical Report 2004/3, Information and Computation (to appear)

    Google Scholar 

  5. Ebinghaus, H.-D., Flum, J.: Finite Model Theory. Springer, Heidelberg (1995)

    Google Scholar 

  6. Grohe, M., Schweikardt, N.: Comparing the succinctness of monadic query languages over finite trees. In: Baaz, M., Makowsky, J.A. (eds.) CSL 2003. LNCS, vol. 2803, pp. 226–240. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Janin, D., Marcinkowski, J.: A Toolkit for First Order Extensions of Monadic Games. In: Ferreira, A., Reichel, H. (eds.) STACS 2001. LNCS, vol. 2010, pp. 353–364. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Keisler, H.J., Lotfallah, W.B.: First order quantifiers in monadic second order logic. J. Symbolic Logic 69(1), 118–136 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Marcinkowski, J.: Directed Reachability: From Ajtai-Fagin to Ehrenfeucht-Fraisse games. In: Flum, J., Rodríguez-Artalejo, M. (eds.) CSL 1999. LNCS, vol. 1683, pp. 338–349. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Marcinkowski, J. (2006). On the Expressive Power of Graph Logic. In: Ésik, Z. (eds) Computer Science Logic. CSL 2006. Lecture Notes in Computer Science, vol 4207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11874683_32

Download citation

  • DOI: https://doi.org/10.1007/11874683_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45458-8

  • Online ISBN: 978-3-540-45459-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics