基于部分安装技术的定理证明

M. Yamamoto, T. Ohyanagi, A. Ohuchi
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引用次数: 0

摘要

本文提出了一种新的基于Jeroslow提出的部分实例化技术的定理证明方法。所提出的程序适用于一阶逻辑中的子句形式公式,以及其他基于解析的方法。我们还证明了它的完备性,即,如果一组给定子句确实是不可满足的,它可以证明它是不可满足的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Theorem proving based on the partial instatiation technique
We present a new theorem proving procedure based on the partial instantiation technique, which is developed by Jeroslow. The proposed procedure is applicable to clausal form formulas in the first-order logic, as well as other resolution-based methods. We also show its completeness, i.e., it can verify that a given set of clauses is unsatisfiable if indeed it is unsatisfiable.
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