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Protocol ACSet is a specialized capability for Claude that leverages categorical mathematics to treat decentralized protocols as compositional objects. It allows developers to map complex infrastructure layers—such as transport, security, topology, and identity—into attributed C-sets (ACSets) to verify compatibility, design protocol bridges, and analyze the evolution of peer-to-peer stacks. By applying formal composition laws and functorial analysis, it transforms ad-hoc protocol integration into a principled engineering process, ensuring that diverse systems like IPFS, ActivityPub, and Matrix can interoperate predictably within a unified stack.