MPI-INF/SWS Research Reports 1991-2021

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Minimal resolution

Weidenbach, Christoph

December 1994, 20 pages.

Status: available - back from printing

Minimal resolution restricts the applicability of resolution and factorization to minimal literals. Minimality is an abstract criterion. It is shown that if the minimality criterion satisfies certain properties minimal resolution is sound and complete. Hyper resolution, ordered resolution and lock resolution are known instances of minimal resolution. We also introduce new instances of the general completeness result, correct some mistakes in existing literature and give some general redundancy criteria for minimal resolution calculi.

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  AUTHOR = {Weidenbach, Christoph},
  TITLE = {Minimal resolution},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-94-227},
  MONTH = {December},
  YEAR = {1994},
  ISSN = {0946-011X},