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Predictive Labeling

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Term Rewriting and Applications (RTA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4098))

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Abstract

Semantic labeling is a transformation technique for proving the termination of rewrite systems. The semantic part is given by a quasi-model of the rewrite rules. In this paper we present a variant of semantic labeling in which the quasi-model condition is only demanded for the usable rules induced by the labeling. Our variant is less powerful in theory but maybe more useful in practice.

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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. Baader, F., Nipkow, T.: Term Rewriting and All That. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  3. Ben Cherifa, A., Lescanne, P.: Termination of rewriting systems by polynomial interpretations and its implementation. Science of Computer Programming 9, 137–159 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  4. Dershowitz, N.: Orderings for term-rewriting systems. Theoretical Computer Science 17, 279–301 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  5. Geser, A., Hofbauer, D., Waldmann, J.: Match-bounded string rewriting. Applicable Algebra in Engineering, Communication and Computing 15, 149–171 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. Geser, A., Hofbauer, D., Waldmann, J., Zantema, H.: On Tree Automata that Certify Termination of Left-Linear Term Rewriting Systems. In: Giesl, J. (ed.) RTA 2005. LNCS, vol. 3467, pp. 353–367. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Gramlich, B.: Generalized sufficient conditions for modular termination of rewriting. Applicable Algebra in Engineering, Communication and Computing 5, 131–158 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  8. 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 

  9. Kamin, S., Lévy, J.J.: Two generalizations of the recursive path ordering, University of Illinois (1980) (unpublished, manuscript)

    Google Scholar 

  10. Knuth, D.E., Bendix, P.: Simple word problems in universal algebras. In: Leech, J. (ed.) Computational Problems in Abstract Algebra, pp. 263–297. Pergamon Press, Oxford (1970)

    Google Scholar 

  11. Koprowski, A.: TPA: Termination Proved Automatically. In: Pfenning, F. (ed.) RTA 2006. LNCS, vol. 4098, pp. 257–266. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Lankford, D.: On proving term rewriting systems are Noetherian. Technical Report MTP-3, Louisiana Technical University (1979)

    Google Scholar 

  13. Middeldorp, A., Ohsaki, H., Zantema, H.: Transforming termination by self-labelling. In: McRobbie, M.A., Slaney, J.K. (eds.) CADE 1996. LNCS, vol. 1104, pp. 373–386. Springer, Heidelberg (1996)

    Google Scholar 

  14. Terese: Term Rewriting Systems. Cambridge Tracts in Theoretical Computer Science, vol. 55. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  15. 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 

  16. Toyama, Y.: Counterexamples to the termination for the direct sum of term rewriting systems. Information Processing Letters 25, 141–143 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  17. Urbain, X.: Modular & incremental automated termination proofs. Journal of Automated Reasoning 32, 315–355 (2004)

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  19. Zantema, H.: TORPA: Termination of Rewriting Proved Automatically. In: van Oostrom, V. (ed.) RTA 2004. LNCS, vol. 3091, pp. 95–104. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Hirokawa, N., Middeldorp, A. (2006). Predictive Labeling. In: Pfenning, F. (eds) Term Rewriting and Applications. RTA 2006. Lecture Notes in Computer Science, vol 4098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11805618_24

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  • DOI: https://doi.org/10.1007/11805618_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36834-2

  • Online ISBN: 978-3-540-36835-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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