MPI-INF/SWS Research Reports 1991-2021

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Lazy unification with inductive simplification

Hanus, Michael

March 1993, 20 pages.

Status: available - back from printing

Unification in the presence of an equational theory is an important problem in theorem-proving and in the integration of functional and logic programming languages. This paper presents an improvement of the proposed lazy unification methods by incorporating simplification with inductive axioms into the unification process. Inductive simplification reduces the search space so that in some case infinite search spaces are reduced to finite ones. Consequently, more efficient unification algorithms can be achieved. We prove soundness and completeness of our method for equational theories represented by ground confluent and terminating rewrite systems.

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  AUTHOR = {Hanus, Michael},
  TITLE = {Lazy unification with inductive simplification},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-215},
  MONTH = {March},
  YEAR = {1993},
  ISSN = {0946-011X},