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Redundancy Elimination in Lemma-Knowledge for Automated Theorem Provers

机译:自动定理证明的引理知识中的冗余消除

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摘要

Lemmatization is a promising way for solving "hard" problems with automated theorem provers. However, valuable results can only be reached, if the employed lemmata are restricted to useful records. The paper describes an algorithm for supporting such a restriction by eliminating redundancies in lemma-knowledge. Here, a lemma a is called redundant to a lemma set F, if a can be generated within very few inferences from F. Conflicts between redundacies are resolved with an importance criterion. First experiments give promising results.
机译:引理化是用自动定理证明者解决“难题”的一种有前途的方法。但是,只有将所使用的引词限制在有用的记录中才能获得有价值的结果。本文介绍了一种通过消除引理知识中的冗余来支持这种限制的算法。如果可以从F得出的极少推论中生成a,则引理a被称为引理集合F的冗余。冗余度之间的冲突可以通过重要性标准来解决。最初的实验给出了可喜的结果。

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