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Regular Derivations in Basic Superposition-Based Calculi

机译:基于基本叠加的计算的正则导数

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摘要

We prove the completeness of the regular strategy of derivations for superposition-based calculi. The regular strategy was pioneered by Kanger in [Kan63], who proposed that all equality inferences take place before all other steps in the proof. We show that the strategy is complete with the elimination of tautologies. The implication of our result is the completeness of non-standard selection functions by which in non-relational clauses only equality literals (and all of them) are selected.
机译:我们证明了基于叠加的计算的常规策略的完整性。常规策略是由Kanger在[Kan63]中提出的,他提出所有相等性推论都在证明的所有其他步骤之前进行。我们证明了该策略已完全消除了重言式。我们的结果的含义是非标准选择函数的完整性,通过该函数在非关系子句中仅选择相等文字(及其全部)。

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