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A refined version of general E-unification

Socher-Ambrosius, Rolf

October 1993, 12 pages.

Status: available - back from printing

Transformation--based systems for general E-unification were first investigated by Gallier and Snyder. Their system extends the well--known rules for syntactic unification by Lazy Paramodulation, thus coping with the equational theory. More recently, Dougherty and Johann improved on this method by giving a restriction of the Lazy Paramodulation inferences. In this paper, we show that their system can be further improved by a stronger restriction on the applicability of Lazy Paramodulation. It turns out that the framework of proof transformations provides an elegant and natural means for proving completeness of the inference system.

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  AUTHOR = {Socher-Ambrosius, Rolf},
  TITLE = {A refined version of general E-unification},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-237},
  MONTH = {October},
  YEAR = {1993},
  ISSN = {0946-011X},