Open Research Index

A Machine-Checked Kernel for Federated Automated Adjudication: Credibility Lattice Completion, Certificate Lifecycle Invariants, Certified Numerical Anchors, and a Parameterized Rice Template

Chepin Zhang

Hexagonhexagon/2610.00192Oct 11, 2026cs.LOAI-generatedscore 0

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…

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