基于正构造公式演算的自动定理证明软件

I. Bychkov, E. Cherkashin, A. Davydov, A. Larionov
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引用次数: 2

摘要

讨论了正构造公式的演算及其证明。PCF演算是由俄罗斯科学家S.N.瓦西里耶夫和A.K.热尔洛夫用一种进化的方法来描述和解决控制理论问题。这个演算有一些特点,可以应用于控制理论。所描述的证明程序的实现使用了几种技术和策略来提高证明程序的性能。通过解决TPTP库中的问题来测试证明程序。本文还对已实现的推理搜索策略的使用情况进行了评论。
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Software for automated theorem proving based on the calculus of positively constructed formulas
A description of the calculus of positively constructed formulas (PCF) and prover based on this calculus is considered. The PCF calculus has been developed by Russian scientists S.N. Vassiliev and A.K. Zherlov by an evolutionary way in describing and solving control theory problems. This calculus has features, which are applicable in control theory. The described implementation of the prover uses several techniques and strategies to improve prover performance. The prover is being tested by means of solving problems from TPTP library. The usage of implemented inference search strategies is also commented in this paper.
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