
In capitalized economies, transactions affect not only contemporaneous exchange (payment and delivery) but also the allocation of long-run residual claims through capitalization. Yet most institutional “crediting” for long-run value—points, cashback, CLV metrics, or governance narratives—remains mutable and non-auditable, and therefore fails to constitute settlement. This paper formalizes Two-Layer Transactions (TLT) and Long-Term Layer Settlement (LTL), treating settlement as a committed information channel. LTL is an acceptance-grade predicate requiring: (i) existence of a claim object, (ii) third-party replayability, (iii) verifiable finality via publicly visible forward-linked corrections (no silent retroactive rewrites), (iv) hard-budget auditability under a version-bound issuance identity, and (v) visible version binding with activation-time discipline. We derive two feasibility results under hard budgets. If the long-term verifiable object is strictly more Blackwell-informative than price-layer observables, LTL strictly expands the hard-budget feasible set; under state-dependent participation constraints, no policy measurable only in price-layer observables can generally substitute for LTL. Methodologically, we identify a prior gate for event-study/DiD designs: admissible semantics-based treatments must be adapted, i.e., Dt = d(θt) must be Ft-measurable. Without visible versioning and verifiable finality, treatment timing can be non-adapted and hence not well-defined; with committed semantics, it is well-defined. A characterization theorem links externally auditable long-term settlement with definability to LTL with activation discipline. The analysis is value-neutral and scoped to user-facing, verifiable-event environments.
transaction completion semantics, settlement, definability, capitalization, hard budgets, committed information channels, information structures, finality, activation discipline, contractibility, event studies, version binding, structural equity dilution
transaction completion semantics, settlement, definability, capitalization, hard budgets, committed information channels, information structures, finality, activation discipline, contractibility, event studies, version binding, structural equity dilution
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