Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

AProVE 1.2: Automatic Termination Proofs in the Dependency Pair Framework

  • Conference paper
Automated Reasoning (IJCAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4130))

Included in the following conference series:

Abstract

AProVE 1.2 is one of the most powerful systems for automated termination proofs of term rewrite systems (TRSs). It is the first tool which automates the new dependency pair framework [8] and therefore permits a completely flexible combination of different termination proof techniques. Due to this framework, AProVE 1.2 is also the first termination prover which can be fully configured by the user.

Supported by the Deutsche Forschungsgemeinschaft DFG under grant GI 274/5-1.

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

Access this chapter

Log in via an institution

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. Arts, T., Giesl, J.: Termination of term rewriting using dependency pairs. Theoretical Computer Science 236, 133–178 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Borralleras, C.: Ordering-based methods for proving termination automatically. PhD thesis, Universitat Politècnica de Catalunya (2003)

    Google Scholar 

  3. E. Contejean, C. Marché, B. Monate, and X. Urbain. CiME. http://cime.lri.fr

  4. Geser, A., Hofbauer, D., Waldmann, J.: Match-bounded string rewriting systems. Applicable Algebra in Eng., Comm. and Computing 15(3,4), 149–171 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Giesl, J., Arts, T., Ohlebusch, E.: Modular termination proofs for rewriting using dependency pairs. Journal of Symbolic Computation 34(1), 21–58 (2002)

    Article  MathSciNet  Google Scholar 

  6. Giesl, J., Thiemann, R., Schneider-Kamp, P., Falke, S.: Improving dependency pairs. In: Y. Vardi, M., Voronkov, A. (eds.) LPAR 2003. LNCS, vol. 2850, pp. 165–179. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Giesl, J., Thiemann, R., Schneider-Kamp, P., Falke, S.: Automated termination proofs with aprove. In: van Oostrom, V. (ed.) RTA 2004. LNCS, vol. 3091, pp. 210–220. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Giesl, J., Thiemann, R., Schneider-Kamp, P.: The DP framework: Combining techn. In: Baader, F., Voronkov, A. (eds.) LPAR 2004. LNCS (LNAI), vol. 3452, pp. 301–331. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Giesl, J., Thiemann, R., Schneider-Kamp, P.: Proving and disproving termination of higher-order functions. In: Gramlich, B. (ed.) FroCos 2005. LNCS (LNAI), vol. 3717, pp. 216–231. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Hirokawa, N., Middeldorp, A.: Dependency pairs revisited. In: van Oostrom, V. (ed.) RTA 2004. LNCS, vol. 3091, pp. 249–268. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Hirokawa, N., Middeldorp, A.: Polynomial interpretations with negative coefficients. In: Buchberger, B., Campbell, J.A. (eds.) AISC 2004. LNCS (LNAI), vol. 3249, pp. 185–198. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Hirokawa, N., Middeldorp, A.: Automating the dependency pair method. Information and Computation 199(1,2), 172–199 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Hirokawa, N., Middeldorp, A.: Tyrolean Termination Tool. In: Giesl, J. (ed.) RTA 2005. LNCS, vol. 3467, pp. 175–184. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Koprowski, A.: TPA: Termination proved automatically. In: Pfenning, F. (ed.) RTA 2006. LNCS, vol. 4098, Springer, Heidelberg (2006)

    Google Scholar 

  15. Lee, C.S., Jones, N.D., Ben-Amram, A.M.: The size-change principle for program termination. In: Proc. 28th POPL, pp. 81–92 (2001)

    Google Scholar 

  16. Thiemann, R., Giesl, J.: The size-change principle and dependency pairs for termination of term rewriting. AAECC 16(4), 229–270 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  17. Thiemann, R., Giesl, J., Schneider-Kamp, P.: Improved modular termination proofs using dependency pairs. In: Basin, D., Rusinowitch, M. (eds.) IJCAR 2004. LNCS (LNAI), vol. 3097, pp. 75–90. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  18. van de Wulp, J.: Teparla, http://www.win.tue.nl/~hzantema/torpa.html

  19. Waldmann, J.: Matchbox. In: van Oostrom, V. (ed.) RTA 2004. LNCS, vol. 3091, pp. 85–94. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  20. Zantema, H.: Termination of term rewriting by semantic labelling. Fundamenta Informaticae 24, 89–105 (1995)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LuFG Informatik II, RWTH Aachen, Ahornstr. 55, 52074, Aachen, Germany

    Jürgen Giesl, Peter Schneider-Kamp & René Thiemann

Authors
  1. Jürgen Giesl
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter Schneider-Kamp
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. René Thiemann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science, Artificial Intelligence Research Group, University of Koblenz-Landau, Universitätsstr. 1, 56070, Koblenz

    Ulrich Furbach

  2. SRI International, MS EL256,, 333 Ravenswood Avenue, 94025-3493, Menlo Park, CA, USA

    Natarajan Shankar

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Giesl, J., Schneider-Kamp, P., Thiemann, R. (2006). AProVE 1.2: Automatic Termination Proofs in the Dependency Pair Framework. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_24

Download citation

  • DOI: https://doi.org/10.1007/11814771_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37187-8

  • Online ISBN: 978-3-540-37188-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation