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Experiments in the Heuristic Use of Past Proof Experience

机译:在启发式使用过去证据体验的实验

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Problems in automated deduction essentially amount to hard search problems. Powerful search-guiding heuristics are indispensable if difficult problems are to be handled. A promising and natural way to improve the performance of heuristics is to learn from previous experience. We present heuristics that follow this approach. A first heuristic attempts to re-enact a proof of a proof problem found in the past in a flexible way in order to find a proof of a similar problem. A further heuristic employs "features" in connection with past proof experience to prune the search space. Both heuristics not only allow for substantial speed-ups, but also make it possible to prove problems that were out of reach when using so-called basic heuristics. A combination of these two heuristics in the light of problems stemming from the study of logic calculi in connection with an inference rule called "condensed detachment". These problems are widely acknowledged as prominent test sets for automated deduction systems and their search-guiding heuristics. We compare our results with the results the creators of Otter obtained with this renowned theorem prover and this way substantiate our achievements.
机译:自动扣除问题基本上达到硬搜索问题。如果要处理困难问题,强大的搜索引导启发式​​是必不可少的。提高启发式性能的有希望和自然的方式是从以前的经验中学到。我们提出了遵循这种方法的启发式。首次启发式试图以灵活的方式重新制定过去发现的证明问题的证据,以便找到类似问题的证明。进一步的启发式使用与过去的证据体验相关的“功能”,以修剪搜索空间。这两个启发式不仅可以允许大量的加速,而且还可以在使用所谓的基本启发式的情况下证明遥不可及的问题。鉴于逻辑计算与推理规则相关的问题,这两个启发式的组合与称为“凝结分离”的推理规则的研究。这些问题被广泛承认为自动扣除系统及其搜索引导启发式​​的突出测试集。我们将结果与结果进行比较,结果与此知名定理箴言获得的水獭创造者及这种方式证实了我们的成就。

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