Defining AI Agents: An Ontological and Topological Framework for Organizational Systems

Key Points

• The aim is to address the scalability and governance challenges of AI agents by introducing a structured framework.
• Introduced an architectural framework combining ontological and topological representations.
• Utilized category theory, mereotopology, and graph theory for formal definitions.
• Proved five core properties: composability, interoperability, provenance preservation, auditability, and verifiability.
• Defined a framework that enhances scalability and governance of AI agents.
• Demonstrated properties like composability and interoperability, which contribute to better AI systems.
• Confirmed the framework's effectiveness through formal proofs of the defined properties.