Permissible Knowledge Pooling

Information pooling has been extensively formalised across various logical frameworks in distributed systems [1,30,13,8], characterized by diverse information-sharing patterns. These approaches generally adopt an intersection perspective, aggregating all possible information, regardless of whether it is known or unknown to the agents. In contrast, this work adopts a unique stance, emphasising that sharing knowledge means distributing what is known, rather than what remains uncertain. This paper introduces new modal logics for knowledge pooling and sharing, ranging from a novel language of knowledge pooling to a dynamic mechanism for knowledge sharing. It also outlines their axiomatizations and discusses a potential framework for permissible knowledge pooling. Keywords: Information Pooling, Distributed Knowledge, Knowledge Pooling, Permissible Knowledge Sharing. What disclosures are considered sensitive information leaks? What messages can be shared with a cooperative partner without breaching confidentiality agreements?