Full exposure soundness and policy completeness in general settings

Establish exposure soundness and policy completeness for the Treasury Proof Ledger under strategic behaviour by treasurers, richer policy languages, and partial multi-institution deployments, proving that arbitrary policies and open domain sets satisfy these notions without restricting to closed domain subsets or faithful policies.

Background

Exposure soundness and policy completeness are defined as deployment-level target notions in the paper, but only restricted results are proved: exposure soundness for closed sets of domains under faithful policies and a simple policy-completeness lemma for a history-revealing policy.

The authors explicitly state that extending these notions to the general case—accounting for strategic behavior, richer policy languages, and partial multi-institution participation—remains unresolved and is an open research problem.

References

The general case of exposure soundness and policy completeness under strategic behaviour, richer policy languages, and partial deployment across institutions remains an open problem for future work.

— The Treasury Proof Ledger: A Cryptographic Framework for Accountable Bitcoin Treasuries  (2512.03765 - Puente et al., 3 Dec 2025) in Limitations and open questions (Section 9)

The known residue is selective exhibition: every presented artifact is genuine, yet nothing proves a portfolio complete; completeness proofs are heavier machinery left open (\S\ref{sec:discussion}).

— The Civilization Framework: Sovereign-Anchored Communication Between Personal Multi-Agent Systems  (2609.03425 - Liu, 3 Sep 2026) in Section 5.3, subsection “Three-Component Trust”