Building in equational theories into the connection method
We consider possibilities of building in equational theories into a proof procedure based on the connection method.
The connection method has been enhanced by the following rules for equality reasoning: paramodulation, RUE-resolution and demodulation (all modulo a built in equational theory). Completeness results are proved for the two former rules. The considered procedures accept arbitrary first order formulas. The translation of improvements from one class of proof calculi (resolution) to another (connection method) contributes to a better understanding of the relations between different proof calculi.
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