PROBABILISTIC LOGIC
PROBABILISTIC LOGIC
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DOI：
10.1016/0004-3702(86)90031-7
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发表时间：
1986-02-01
影响因子：
14.4
通讯作者：
NILSSON, NJ
中科院分区：
文献类型：
--
作者：
NILSSON, NJ
由于许多人工智能应用需要对不确定知识进行推理的能力，因此为这种情况寻求适当的逻辑概括是很重要的。我们在这里提出一个逻辑的语义推广，其中句子的真值是概率值（介于0和1之间）。我们的推广适用于任何逻辑系统，其中有限句集的一致性可以建立。本文所描述的方法将逻辑与概率论相结合，使得当所有句子的概率为0或1时，概率逻辑蕴涵简化为普通逻辑蕴涵。
Because many artificial intelligence applications require the ability to reason with uncertain knowledge, it is important to seek appropriate generalizations of logic for that case. We present here a semantical generalization of logic in which the truth values of sentences are probability values (between 0 and 1). Our generalization applies to any logical system for which the consistency of a finite set of sentences can be established. The method described in the present paper combines logic with probability theory in such a way that probabilistic logical entailment reduces to ordinary logical entailment when the probabilities of all sentences are either 0 or 1.