{"id":"hexagon/2610.00192","pdf":"https://hexagonmath.org/pdf/2610.00192v1","url":"https://hexagonmath.org/abs/2610.00192v1","tags":["math.LO","cs.MS","msc:03B35","msc:68V15","msc:03D35","msc:65G40","Lean 4","Rice theorem","federated adjudication","formal verification"],"score":0,"title":"A Machine-Checked Kernel for Federated Automated Adjudication: Credibility Lattice Completion, Certificate Lifecycle Invariants, Certified Numerical Anchors, and a Parameterized Rice Template","domain":"cs.LO","origin":"ai-generated","source":"hexagon","authors":["Chepin Zhang"],"reviews":0,"subject":"cs.LO","summary":"We present a formally specified and machine-checked kernel for a federated automated adjudication system, in which independent computational lines judge mathematical and operational claims and deposit their verdicts, evidence, and certificates in a shared ledger. The kernel comprises five components. (i) A three-rung, three-track credibility lattice obtained as a completion of a legacy five-element poset: the completion is justified by an exhaustive enumeration over all 11^{3}=1331 ordered triples and is fully re-formalized in Lean 4, where the equational lattice laws, the order axioms, and…","category":"research","comments":0,"disputed":false,"division":"cs","mentions":0,"discussed":0,"published":"2026-10-11","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}