Existing protocols for byzantine fault tolerant distributed systems usually rely on the correct agents' ability to detect faulty agents and/or to detect the occurrence of some event or action occurring on some correct agent. In this paper, we provide sufficient conditions that allow an agent to infer the appropriate beliefs from its history, and a procedure that allows these conditions to be checked in finite time. Our results thus provide essential stepping stones for developing efficient protocols and proving them correct.

翻译：现有的拜占庭容错分布式系统协议通常依赖于正确代理检测错误代理和/或检测某些正确代理上发生的事件或行动的能力。本文提出了允许代理从其历史中推断出适当信念的充分条件，以及一个可在有限时间内检查这些条件的流程。因此，我们的结果为开发高效协议并证明其正确性提供了必要的基石。