Elimination of Equality via Transformation with Ordering Constraints

@inproceedings{Bachmair1998EliminationOE,
  title={Elimination of Equality via Transformation with Ordering Constraints},
  author={Leo Bachmair and Harald Ganzinger and Andrei Voronkov},
  booktitle={CADE},
  year={1998}
}
We refine Brand’s method for eliminating equality axioms by (i) imposing ordering constraints on auxiliary variables introduced during the transformation process and (ii) avoiding certain transformations of positive equations with a variable on one side. The refinements are both of theoretical and practical interest. For instance, the second refinement is implemented in Setheo and appears to be critical for that prover’s performance on equational problems. The correctness of this variant of… CONTINUE READING
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