arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1403.6512math.LOcs.AIcs.LO
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信念修正的不可刻画性:有限模型论的一个应用

Non-characterizability of belief revision: an application of finite model theory

University of Illinois at Chicago(伊利诺伊大学芝加哥分校);MTA-SZTE Research Group on Artificial Intelligence(MTA-SZTE人工智能研究组)

Gyorgy Turan, Jon Yaggie

摘要:

一个正式的框架给出了一类信念修正算子的特征,定义使用最小化一类部分前序,由公设。它表明,对于偏序特征化蕴含着一元二阶逻辑的偏序类的可定义性。基于一类偏序的不可定义性结果,给出了一类不可刻画的修正算子的例子。这似乎是信念修正中的第一个非特征化结果。

英文摘要:

A formal framework is given for the characterizability of a class of belief revision operators, defined using minimization over a class of partial preorders, by postulates. It is shown that for partial orders characterizability implies a definability property of the class of partial orders in monadic second-order logic. Based on a non-definability result for a class of partial orders, an example is given of a non-characterizable class of revision operators. This appears to be the first non-characterizability result in belief revision.

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。

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