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Automatically Proving Termination Where Simplification Orderings Fail (1997)  (Make Corrections)  (43 citations)
Thomas Arts, Jürgen Giesl
TAPSOFT: 7th International Joint Conference on Theory and Practice of Software Development



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Abstract: To prove termination of term rewriting systems (TRSs), several methods have been developed to synthesize suitable well-founded orderings automatically. However, virtually all orderings that are amenable to automation are so-called simplification orderings. Unfortunately, there exist numerous interesting and relevant TRSs that cannot be oriented by orderings of this restricted class and therefore their termination cannot be proved automatically with the existing techniques. In this paper we... (Update)

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BibTeX entry:   (Update)

T. Arts & J. Giesl, Automatically proving termination where simplification orderings fail. In Proc. TAPSOFT '97, LNCS 1214, Lille, France, 1997. http://citeseer.ist.psu.edu/arts97automatically.html   More

@inproceedings{ arts97automatically,
    author = "Arts and Giesl",
    title = "Automatically Proving Termination Where Simplification Orderings Fail",
    booktitle = "{TAPSOFT}: 7th International Joint Conference on Theory and Practice of Software Development",
    year = "1997",
    url = "citeseer.ist.psu.edu/arts97automatically.html" }
Citations (may not include all citations):
788   Rewrite systems - Dershowitz, Jouannaud - 1990
392   A Computational Logic (context) - Boyer, Moore - 1979
384   Simple word problems in universal algebras (context) - Knuth, Bendix - 1970
214   Orderings for term-rewriting systems (context) - Dershowitz - 1982
172   Journal of Symbolic Computation (context) - Dershowitz, rewriting - 1987
89   Termination of term rewriting: interpretation and type elimi.. - Zantema - 1994
86   Termination of term rewriting by semantic labelling - Zantema - 1995
85   On proving term rewriting systems are noetherian (context) - Lankford - 1979
83   Counterexamples to the termination for the direct sum of ter.. (context) - Toyama - 1987
82   Two generalizations of the recursive path ordering (context) - Kamin, Levy - 1980
68   Proofs by induction in equational theories with constructors (context) - Huet, Hullot - 1982
65   the uniform halting problem for term rewriting systems (context) - Huet, Lankford - 1978
58   Termination of rewriting systems by polynomial interpretatio.. (context) - Cherifa, Lescanne - 1987
56   Information Processing Letters - Dershowitz, on et al. - 1979
53   Theoretical Computer Science (context) - Dershowitz, Hoot - 1995
50   Simplification orderings: history of results (context) - Steinbach - 1995
49   Generating polynomial orderings for termination proofs - Giesl - 1995
43   Termination of nested and mutually recursive algorithms - Giesl - 1996
41   On proving the termination of algorithms by machine (context) - Walther - 1994
32   Dummy elimination: making termination easier - Ferreira, Zantema - 1995
32   Applicable Algebra in Engineering (context) - Bellegarde, Lescanne et al. - 1990
32   Generating polynomial orderings (context) - Steinbach - 1994
31   Total termination of term rewriting (context) - Ferreira, Zantema - 1993
31   Modular proofs for completeness of hierarchical term rewriti.. (context) - Rao - 1995
30   Proving innermost normalisation automatically - Arts, Giesl - 1996
30   Automatic termination proofs with transformation orderings (context) - Steinbach - 1995
26   Termination of linear rewriting systems (context) - Dershowitz - 1981
21   Automatisierung von Terminierungsbeweisen fur rekursiv defin.. (context) - Giesl - 1995
19   Termination of constructor systems - Arts, Giesl - 1996
19   Termination of constructor systems - Arts, Giesl - 1996
19   A recursively defined ordering for proving termination of te.. (context) - Plaisted - 1978
19   Automating the Knuth Bendix ordering (context) - Dick, Kalmus et al. - 1990
19   transformation and termination (context) - Bachmair, Dershowitz - 1986
16   examples of termination - Dershowitz - 1993
15   Termination by absence of infinite chains of dependency pair.. - Arts - 1996
15   Automatisierung von Terminierungsbeweisen (context) - Walther - 1991
13   Proving termination (context) - Bevers, Lewi - 1993
12   Overlap closures and termination of term rewriting systems (context) - Geupel - 1989
9   A finite termination criterion (context) - Lankford, Musser - 1978
7   Notes on transformation orderings - Steinbach - 1992
6   Termination of term rewriting systems (context) - Geerling - 1991
5   Totality and Transformations (context) - Ferreira, Term et al. - 1995
4   Termination proofs based on transformation techniques (context) - Bellegarde, Lescanne - 1988



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://kirmes.inferenzsysteme.informatik.th-darmstadt.de/~giesl/):   More
Termination of Constructor Systems - Arts, Giesl (1996)   (Correct)
Modularity of Termination Using Dependency Pairs - Arts, Giesl (1997)   (Correct)
Termination Analysis for Functional Programs using Term Orderings - Giesl (1995)   (Correct)

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