Skip to main content

A Unified Semantics for Constraint Handling Rules in Transaction Logic

  • Conference paper
Logic Programming and Nonmonotonic Reasoning (LPNMR 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4483))

Abstract

Reasoning on Constraint Handling Rules (CHR) programs and their executional behaviour is often ad-hoc and outside of a formal system. This is a pity, because CHR subsumes a wide range of important automated reasoning services. Mapping CHR to Transaction Logic (\(\mathcal{TR}\)) combines CHR rule specification, CHR rule application, and reasoning on CHR programs and CHR derivations inside one formal system which is executable. This new \(\mathcal{TR}\) semantics obviates the need for disjoint declarative and operational semantics.

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 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.

References

  1. Abdennadher, S., Frühwirth, T., Meuss, H.: Confluence and semantics of constraint simplification rules. Constraints 4(2), 133–165 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  2. Betz, H., Frühwirth, T.: A linear-logic semantics for Constraint Handling Rules. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 137–151. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  3. Bonner, A.J., Kifer, M.: Transaction Logic programming (or, a logic of procedural and declarative knowledge). Technical Report CSRI-323, Computer Systems Research Institute, University of Toronto, Canada (1995)

    Google Scholar 

  4. Bonner, A.J., Kifer, M.: A logic for programming database transactions. In: Logics for Databases and Information Systems, pp. 117–166. Kluwer Academic Publishers, Dordrecht (1998)

    Google Scholar 

  5. Bonner, A.J., Kifer, M.: Results on reasoning about updates in Transaction Logic. In: Kifer, M., et al. (eds.) Dagstuhl Seminar 1997, DYNAMICS 1997, and ILPS-WS 1997. LNCS, vol. 1472, pp. 166–196. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  6. Frühwirth, T.: Theory and Practice of Constraint Handling Rules. J. Logic Programming 37(1–3), 95–138 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  7. Jaffar, J., et al.: The semantics of constraint logic programs. J. Logic Programming 37(1–3), 1–46 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  8. Kifer, M.: Nonmonotonic reasoning in FLORA-2. In: Baral, C., et al. (eds.) LPNMR 2005. LNCS (LNAI), vol. 3662, pp. 1–12. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Maher, M.J.: Logic semantics for a class of committed-choice programs. In: ICLP 87, pp. 858–876. MIT Press, Cambridge (1987)

    Google Scholar 

  10. Robin, J.: Reused Oriented Automated Reasoning Software (ROARS) project web page (2005), http://www.cin.ufpe.br/~jr/mysite/RoarsProject.html

  11. Schrijvers, T., Frühwirth, T.: Optimal union-find in Constraint Handling Rules. J. Theory and Practice of Logic Programming 6(1-2), 213–224 (2006)

    Article  MATH  Google Scholar 

  12. Schrijvers, T., et al.: The Constraint Handling Rules (CHR) web page (2007), http://www.cs.kuleuven.ac.be/~dtai/projects/CHR/

  13. Thielscher, M.: FLUX: A logic programming method for reasoning agents. J. Theory and Practice of Logic Programming 5(4-5), 533–565 (2005)

    Article  MATH  Google Scholar 

  14. Yang, G., et al.: FLORA-2: User’s Manual, Version 0.94 (Narumigata) (2005), http://flora.sourceforge.net/docs/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Chitta Baral Gerhard Brewka John Schlipf

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Meister, M., Djelloul, K., Robin, J. (2007). A Unified Semantics for Constraint Handling Rules in Transaction Logic. In: Baral, C., Brewka, G., Schlipf, J. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2007. Lecture Notes in Computer Science(), vol 4483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72200-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72200-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72199-4

  • Online ISBN: 978-3-540-72200-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics