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模态逻辑推理的翻译方法
引用本文:张健.模态逻辑推理的翻译方法[J].计算机研究与发展,1998,35(5):389-392.
作者姓名:张健
作者单位:中国科学院院软件研究所
基金项目:国家自然科学基金,“863”高技术计划,中国科学院留学经费
摘    要:文中研究了模态逻辑推理的翻译法,即把模态逻辑公式按照一定的规则翻译成经典逻辑公式,再用传统的定理器进行推理,文中指出,该方法在理论上保持了正规命题模态逻辑的可判定性,还给出了一些试验结果,说明该方法实际可行的。

关 键 词:自动定理证明  可满足性判定  模态逻辑推理

A TRANSLATION APPROACH TO MODAL LOGIC REASONING
Zhang Jian.A TRANSLATION APPROACH TO MODAL LOGIC REASONING[J].Journal of Computer Research and Development,1998,35(5):389-392.
Authors:Zhang Jian
Abstract:A translation approach to modal logic reasoning is studied.This method tries to prove a modal theorem by translating it into a formula in the classic logic, and then proves the formula by using a conventional theorem prover. It is pointed out that the translation approach preserves the decidability of propositional normal modal logics.Some experimental results are also given,which show that the method is practical.
Keywords:propositional modal logic  automated theorem proving  satisfiability decision  
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