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arXiv 1807.04861cs.AI
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混合时间情境演算

Hybrid Temporal Situation Calculus

York University(约克大学);Sapienza Università di Roma(罗马第一大学);Ryerson University(瑞尔森大学)

Vitaliy Batusov, Giuseppe De Giacomo, Mikhail Soutchanski

摘要:

赖特的时间情境演算行动理论对连续变化的建模能力引起了人们的极大兴趣。在本文中,我们提出了一个新的发展,他的方法,这是直接启发的混合系统在控制理论。具体来说,在保持赖特的公理化的基础上,我们提出了一个优雅的扩展他的方法,增加了一个时间参数,代表连续变化的所有流畅。因此,我们确保变化不仅会因为行动而发生,而且会因为时间的推移而发生。我们提出了一个系统的方法来推导,从简单的前提,一组新的公理,指定如何连续流畅度随时间变化的情况。我们研究回归我们的新的时间基本行动理论,并证明什么推理问题可以解决。最后,我们正式表明,我们的时间基本行动理论确实捕获混合自动机。

英文摘要:

The ability to model continuous change in Reiter's temporal situation calculus action theories has attracted a lot of interest. In this paper, we propose a new development of his approach, which is directly inspired by hybrid systems in control theory. Specifically, while keeping the foundations of Reiter's axiomatization, we propose an elegant extension of his approach by adding a time argument to all fluents that represent continuous change. Thereby, we insure that change can happen not only because of actions, but also due to the passage of time. We present a systematic methodology to derive, from simple premises, a new group of axioms which specify how continuous fluents change over time within a situation. We study regression for our new temporal basic action theories and demonstrate what reasoning problems can be solved. Finally, we formally show that our temporal basic action theories indeed capture hybrid automata.

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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