On Group Secrets and the Metacommunicative Aspects of Revealing a True Secret

This research paper explores the logical foundations of group secrets, focusing on their preservation and the interplay of belief, knowledge, and intention inherent in secrecy among agents. Key findings establish the logical conditions under which group secrets are maintained and examine how various logical operations influence these secrets. Additionally, the paper offers insights into certain metacommunicative aspects of secret revelation, specifically when the goal is leaving the secret unknown to a targeted nescient. In particular, we provide a formal analysis of intentions crucial in communicative acts.