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    模态逻辑推理的翻译方法

    A TRANSLATION APPROACH TO MODAL LOGIC REASONING

    • 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,再用传统的定理证明器进行推理.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,说明该方法是实际可行的.

       

      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.

       

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