A Complete Connection Calculus with Rigid E-Unification

  title={A Complete Connection Calculus with Rigid E-Unification},
  author={Uwe Petermann},
Abs t rac t . We present an approach to building-in equational reasoning into theorem provers which axe based on the connection method. The approach is an instance of total theory reasoning. In order to achieve a completeness result we combine results concerning the simultaneous rigid E-unification problem with our general f~amework for building-in theories. We pose the problem whether for the construction of a complete goal-oriented prover with equality it is sufficient to be able to solve… CONTINUE READING

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