Machine-Checked Proofs for Structural Governance of Cognitive Workflows

Hey! So, there’s this new preprint on arXiv that talks about five key discoveries in structural governance theory for cognitive workflow systems. Out of these, three are formalized using Coq 8.19 and the Interaction Trees library with some coinduction techniques, while the other two are shown through written reductions. They introduce the Coinductive Safety Predicate (gov_safe), which defines when governance is safe for infinite program behaviors, indicating that it’s false for ungoverned inputs and true for governed ones. There’s also the Governance Invariance Theorem, which states that governance at level n+1 is the same as at level n. Lastly, the Sufficiency Theorem explains that four basic elements—code, reason, memory, and call—can completely express any discrete intelligent system.