MPI-INF/SWS Research Reports 1991-2021

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A new ordering constraint solving method and its applications

Nieuwenhuis, Robert

February 1992, 12 pages.

Status: available - back from printing

We show that it is possible to transform any given LPO ordering constraint $C$ into a finite equivalent set of constraints $S$ for which a special kind of solutions can be obtained. This allows to compute the equalities that follow from ordering constraints, and to decide e.g.\ whether an {\em ordering constrained equation\/} is a tautology. Another application we develop here is a method to check ordered rewrite systems for (ground) confluence.

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  AUTHOR = {Nieuwenhuis, Robert},
  TITLE = {A new ordering constraint solving method and its applications},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-92-238},
  MONTH = {February},
  YEAR = {1992},
  ISSN = {0946-011X},