A well-studied phenomenon in network theory are optimal schedules to distribute information by one-to-one communication between nodes. One can take these communicative actions to be ‘telephone calls’, and this process of spreading information is known as gossiping . It is typical to assume a global scheduler who simply executes a possibly non-deterministic protocol. Such a protocol can be seen as consisting of a sequence of instructions “first, agent a calls b, then c, next, d calls b ...”. We investigate epistemic gossip protocols, where an agent a will call another agent not because it is so instructed but based on its knowledge or ignorance of the factual information that is distributed over the network. Such protocols therefore don't need a central schedular, but they come at a cost: they may take longer to terminate than non-epistemic, globally scheduled, protocols. We describe various epistemic protocols, we give their logical properties, and we model them in a number of ways.
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