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Optimizing Proof Search in Model Elimination

机译:在模型消除中优化证明搜索

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Many implementations of model elimination perform proof search by iteratively increaisng a bound on the total size of the proof. We propose an optimized version of this search mode using a simple divide-and-conquer refinemetn. Optimized and unoptimized modes are compared, together with depth-bounded and best-first search, over the entire TPTP problem library. The optimized size-bounded mode seems to be the overall winner, but for each strategy there are problems on which it performs best. Some attempts is made to analyze why. We emphasize that our optimization, and other implementation techniques like caching, are rather general: they are not dependent on the details of model elimination, or even that the search is concerned with theorem proving. As such, we believe that this study is a useful complement to research on extending the model elimination calculus.
机译:模型消除的许多实现通过迭代地对证据的总大小的界限进行了迭代地进行证明搜索。我们使用简单的划分和征服refinemetn提出了该搜索模式的优化版本。比较优化和未优化的模式,以及整个TPTP问题库中的深度界限和最佳首先搜索。优化的大小有界模式似乎是整体获胜者,但对于每种策略,它有哪些问题是最好的。有些尝试是为了分析原因。我们强调我们的优化和其他实现技术,如缓存,是相当一般的:它们不依赖于模型消除的细节,甚至甚至搜索涉及定理证明的定理。因此,我们认为本研究是对扩展模型消除微积分的研究有用的补充。

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