On Matrices with Connections

@article{Bibel1981OnMW,
  title={On Matrices with Connections},
  author={Wolfgang Bibel},
  journal={J. ACM},
  year={1981},
  volume={28},
  pages={633-645}
}
Theorem proving is considered as the problem of verifying that each path through a matrix consisting of a set of clauses can be made complementary. By introducing connections to such a matrix the followmg three results are derived from that conceptual basis. First, a sunple and short proof for the consistency and completeness of the connection graph procedure as given Second, a macrosimplificatlon rule for the preparatory step of any ATP-method is defined which, like the deletion or subsumptlon… CONTINUE READING
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