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arXiv 1604.08055cs.AI

Selecting the Selection

University of Manchester(曼彻斯特大学);Chalmers University of Technology(查尔姆斯理工大学);EasyChair

Giles Reger, Martin Suda, Andrei Voronkov, Krystof Hoder

英文摘要:

Modern saturation-based Automated Theorem Provers typically implement the superposition calculus for reasoning about first-order logic with or without equality. Practical implementations of this calculus use a variety of literal selections and term orderings to tame the growth of the search space and help steer proof search. This paper introduces the notion of lookahead selection that estimates (looks ahead) the effect on the search space of selecting a literal. There is also a case made for the use of incomplete selection functions that attempt to restrict the search space instead of satisfying some completeness criteria. Experimental evaluation in the \Vampire\ theorem prover shows that both lookahead selection and incomplete selection significantly contribute to solving hard problems unsolvable by other methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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