计算机科学 ›› 2012, Vol. 39 ›› Issue (9): 244-246.

• 人工智能 • 上一篇    下一篇

求解爱因斯坦谜题的一种形式系统及推理方法

朱维军,周清雷   

  1. (郑州大学信息工程学院 郑州450001)
  • 出版日期:2018-11-16 发布日期:2018-11-16

Formal Deduction System for Solving Einstein's Riddle

  • Online:2018-11-16 Published:2018-11-16

摘要: 针对求解爱因斯坦谜题的现有人工智能方法的不足,构建了一个基于一阶逻辑的形式系统Γ。首先,通过定义Γ公理集和Γ推理规则集给出了谜题的形式化描述;然后,通过有穷次交替选择使用Γ公理和Γ规则推导出一系列Γ定理,从而得到谜题的解。与现有方法相比,新方法给出了分析、推理的过程,并且不存在状态空间爆炸问题。

关键词: 爱因斯坦谜题,形式系统,形式推理

Abstract: The time complexity of the SAT-based approach for solving Einstein's riddle is very high. Aiming to this problem, we constructed a formal system called Γ. At first, we described the riddle with a set of axioms and a set of rules in Γ. And then, we used the axioms and rules in Γ to prove some theorems in Γ. So, a solution to the riddle was obtwined. Compared with the existing approach, the new method gives a deduction-based procedure to solve the riddle. And the state explosion problem is avoided.

Key words: Einstein's riddle,Formwl system,Formal deduction

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