arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1509.02012cs.AI
收藏

有限情境演算行动理论

Bounded Situation Calculus Action Theories

Sapienza Università di Roma(罗马第一大学);York University(约克大学);Free University of Bozen-Bolzano(博尔扎诺自由大学)

Giuseppe De Giacomo, Yves Lespérance, Fabio Patrizi

摘要:

本文研究了情境演算中的有界作用理论。有界作用理论是这样一种理论,它要求在每一种情况下,流的扩展中的对象元组的数量由给定的常数限制,尽管这种扩展在无限多的情况下通常是不同的。我们认为,这样的理论在应用中是常见的,要么是因为事实不会无限期地持续下去,要么是因为代理人最终忘记了一些事实,因为新的学习。我们讨论各类有界作用理论。然后,我们证明了验证一个强大的一阶变种的μ演算是可判定的,这样的理论。值得注意的是,这种变体支持跨情况的受控形式的量化。我们还表明,通过验证,我们实际上可以检查是否任意行动理论保持有界性。

英文摘要:

In this paper, we investigate bounded action theories in the situation calculus. A bounded action theory is one which entails that, in every situation, the number of object tuples in the extension of fluents is bounded by a given constant, although such extensions are in general different across the infinitely many situations. We argue that such theories are common in applications, either because facts do not persist indefinitely or because the agent eventually forgets some facts, as new ones are learnt. We discuss various classes of bounded action theories. Then we show that verification of a powerful first-order variant of the mu-calculus is decidable for such theories. Notably, this variant supports a controlled form of quantification across situations. We also show that through verification, we can actually check whether an arbitrary action theory maintains boundedness.

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。

↑