Multi-Agent Belief Fusion: A Modal Logic Framework

Title: Multi-Agent Belief Fusion: A Modal Logic Framework

Abstract: This research aimed to develop a uniform framework for reasoning about the beliefs of multiple agents and their fusion. It presented two strategies for cautious merging of beliefs: level cutting and level skipping. The study extended the logics both syntactically and semantically to cover more sophisticated belief fusion and revision operators. It discussed the relationship of the extended logics with conditional logics of belief revision.

Main Research Question: How can we develop a uniform framework for reasoning about the beliefs of multiple agents and their fusion?

Methodology: The study combined multi-agent epistemic logic and multi-sources reasoning systems to develop a modal logic framework. It considered two strategies for cautious merging of beliefs: level cutting and level skipping.

Results: The study presented formal semantics and axiomatic systems for these two strategies. It extended the logics to cover more sophisticated belief fusion and revision operators, and discussed their relationship with conditional logics of belief revision.

Implications: The developed framework allows for reasoning not only with the merged results but also about the fusion process. It can be applied to various fields such as AI, economics, and theoretical computer science, particularly in the analysis of distributed and multi-agent systems.

Link to Article: https://arxiv.org/abs/0201020v1 Authors: arXiv ID: 0201020v1