Certifiable Semantic Agreement Among LLM Agents: What the Admissibility Instrument Decides
Can a committee of LLM agents reach agreement that is certifiable at the level of meaning, not only at the level of a label? We build a protocol to find out. H-CSC emits one of three typed outcomes per round -- semantic commit, verdict commit, or typed abort -- under a common 2f+1 distinct-signer certificate, and we use it to measure what such agreement costs and buys. The answer is conditional, and the condition is not the protocol. We prove a containment lemma: whenever the semantic core is large enough to make the committed verdict deterministically valid, the verdict margin already exceeds f, so at matched deterministic guarantees no coverage separation from certificate-wrapped majori...
| Authors | Haoran Xu, Lei Zhang, Iadh Ounis et al. |
|---|---|
| Primary category | cs.MA |
| Published | 5 June 2026 |
| Last updated at source | 13 August 2026 |
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