Fire!

Abstract

In this paper, we provide an epistemic analysis of a simple variant of the fundamental consistent broadcasting primitive for byzantine fault-tolerant asynchronous distributed systems. Our Firing Rebels with Relay (FRR) primitive enables agents with a local preference for acting/not acting to trigger an action (FIRE) at all correct agents, in an all-or-nothing fashion. By using the epistemic reasoning framework for byzantine multi-agent systems introduced in our TARK'19 paper, we develop the necessary and sufficient state of knowledge that needs to be acquired by the agents in order to FIRE. It involves eventual common hope (a modality related to belief), which we show to be attained already by achieving eventual mutual hope in the case of FRR. We also identify subtle variations of the necessary and sufficient state of knowledge for FRR for different assumptions on the local preferences.

arXiv commentIn Proceedings TARK 2021, arXiv:2106.10886

References in corpus (2)

• Relating Knowledge and Coordinated Action: The Knowledge of Preconditions Principle
• Causality and Epistemic Reasoning in Byzantine Multi-Agent Systems

Cited by in corpus (5)

• Communication Pattern Logic: Epistemic and Topological Views
• A Sufficient Condition for Gaining Belief in Byzantine Fault-Tolerant Distributed Systems
• On Two- and Three-valued Semantics for Impure Simplicial Complexes
• A Logic for Repair and State Recovery in Byzantine Fault-tolerant Multi-agent Systems
• Communication Modalities