Knuth-Bendix Completion for Non-Symmetri Transitive Relations
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A New Approach to Ordered Chaining
We present a new method for proving completeness of ordered chaining calculi for resolution-based rst-order reasoning with transitive relations. Previously, chaining rules were postulated and a posteriori ver-iied in semantic completeness proofs. We synthesize the rules from the transitivity axiom. Completeness of our calculi then follows from cor-rectness of their construction. Our method yiel...
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