arXiv AI By Hoang-Loc Cao, Truong Thanh Hung Nguyen, Phuc Truong Loc Nguyen, Vo Thanh Khang Nguyen, Phuc Ho, Hung Nguyen, Duc Pham, Long Tran-Thanh, Hung Cao

Replication or Corroboration? An Axiomatic Framework for Evidential Dependence in Multi-Agent Debate

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The paper introduces an axiomatic framework to distinguish replication from corroboration in multi‑agent debates. It formalizes the tension between counting report occurrences and merging matching content, defines root replication invariance (RRI) as a threshold‑uniform replication immunity, and establishes an information boundary that prevents judges from ignoring replicas while responding to fresh roots. The authors propose the lineage quotient to preserve distinct evidential roots and extend the framework to quantitative bipolar argumentation, providing a tight closed‑form response modulus validated by exhaustive audits on thousands of debate profiles.

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