Formalizing Trust: A Modal Logic Approach to Trust Management in Distributed Systems

• Ujjwal Yadav

  Author

Trust is a core concept in secure and cooperative distributed systems. However, the dynamic, context-dependent nature of trust poses challenges to its formalization and enforcement. In this paper, we offer a framework for trust management in a modal logic-based setting. In particular, we offer a rigorous method to model belief, knowledge, and delegation among agents. In multi-agent systems, we study how modal operators can represent fundamental aspects of trust, such as permissions, obligations, and authority propagation. Our framework improves the specification and verification of trust-based decisions, enabling reasoning through modal logic to formalize trust relationships. The system were proposed can induce both monotonic and non-monotonic inferences, thus providing flexibility in inducing or revoking trust. The framework is demonstrated to be wide-ranging, robust, and useful in policy specification, access control, and automated trust negotiation. The proposed work promotes transparent, verifiable, and intelligent trust management mechanisms in distributed and decentralized systems.

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