arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv cs/0503018cs.AIcs.LO
收藏

概率知识

Probabilistic Algorithmic Knowledge

Joseph Y. Halpern, Riccardo Pucella

摘要:

算法知识的框架假设代理使用确定性知识算法来计算他们明确知道的事实。我们扩展的框架,允许随机知识算法。然后,我们描述了随机知识算法提供的信息时,它的答案有一定的概率是不正确的。我们将这些信息形式化为证据;一个随机知识算法返回“是”到一个关于事实的查询中,它提供了证据证明事实是真的。最后,我们讨论了在何种程度上,这些证据可以作为决策的基础。

英文摘要:

The framework of algorithmic knowledge assumes that agents use deterministic knowledge algorithms to compute the facts they explicitly know. We extend the framework to allow for randomized knowledge algorithms. We then characterize the information provided by a randomized knowledge algorithm when its answers have some probability of being incorrect. We formalize this information in terms of evidence; a randomized knowledge algorithm returning ``Yes'' to a query about a fact ϕprovides evidence for ϕbeing true. Finally, we discuss the extent to which this evidence can be used as a basis for decisions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑