论文标题

沟通模式逻辑:认知和拓扑观点

Communication Pattern Logic: Epistemic and Topological Views

论文作者

Castañeda, Armando, van Ditmarsch, Hans, Rosenblueth, David A., Velázquez, Diego A.

论文摘要

我们建议通信模式逻辑。通信模式描述了过程或代理如何互相告知彼此,独立于信息内容。分布式计算中的完整信息协议是所有代理相互通知的特殊情况。我们在分布式计算模型中研究了该协议可能会失败:代理可以确定其收到的消息,但可能不确定其他代理已收到的消息。在具有分布式知识的动态认知逻辑中,具有通信模式的方式,后者可以通过更新Kripke模型来解释。我们提出了通信模式逻辑的公理化,并表明,当使用通信模式更新模型时,可以保留集体二合一性(比较其分布式知识上的模型)。我们还可以通过更新简单复合物来解释通信模式,这是一个众所周知的分布式计算拓扑框架。我们表明,不同的语义对应,并提出了简单复合物之间的集体分配。

We propose communication pattern logic. A communication pattern describes how processes or agents inform each other, independently of the information content. The full-information protocol in distributed computing is the special case wherein all agents inform each other. We study this protocol in distributed computing models where communication might fail: an agent is certain about the messages it receives, but it may be uncertain about the messages other agents have received. In a dynamic epistemic logic with distributed knowledge and with modalities for communication patterns, the latter are interpreted by updating Kripke models. We propose an axiomatization of communication pattern logic, and we show that collective bisimilarity (comparing models on their distributed knowledge) is preserved when updating models with communication patterns. We can also interpret communication patterns by updating simplicial complexes, a well-known topological framework for distributed computing. We show that the different semantics correspond, and propose collective bisimulation between simplicial complexes.

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