Alignment Workspace

continuation BRIA is canonical: the hypothesis is `(continuation, claim)` at a system block contract, the test is realized execution, the weighted auction is opening-timed, and non-dominance is the schedule boundary

2026-09-08 · settled · DECISIONS.md line 679

agent-decided, reversible. Closing pass on the continuation-BRIA round, landed with its wiki page Continuation-BRIA. (1) A continuation hypothesis is h(χ_k) = (c_{h,k}, e_{h,k}): a causal advisor continuation for the block and an accountable contextual claim, at the system's block contract χ_k = (H_k, m_k, Exec^G, R_k); the earlier (q, τ, e) form with a "treatment" component is demoted to an explanatory factorization c = τ(q). (2) A test is the derived event that the selected continuation is executed under the block contract; data is evidence about a claim only when generated by executing the continuation the claim names. (3) The block duration m_k is system-scheduled and revealed at the block's opening; bidders do not choose horizons (hypothesis-requested durations OPEN). (4) The weighted auction credits the round's subsidy at the opening of the round it funds — the paper's auction under a reindexed allowance with an initial endowment, a named modification; capital adequacy is A_i(K) − w_K → ∞ with the subsidy through K inclusive (the timing audit's interim factor 2 removed by the cancellation of the claim at a wealth-constrained win, Lean record_succ_lt_of_rejected_opening); the prefix rule is A(k,i) = ΔM_k + 1/k on s(k) = ⌊√(S_k/M_k)⌋. (5) Non-dominance m_K/S_K → 0 is the sharp schedule-level boundary: the prefix-online opening-timed auction covers every c.e. e.c. class exactly there, no estimating agent satisfies the criterion beyond it, and under the paper's settlement timing no prefix-online rule serves every non-dominant schedule. (6) Regret = LEARN + SLACK + SHIFT are three separate interfaces: continuation BRIA controls LEARN under the bounded-record condition (BR); promise recognizability and joinability are external; Π_leg-wide regret stays false. Nothing is registered: no filed item is answered at registration strength (item 86 keeps recognizability, joinability and composition). (7) Two maintainer instructions given during the pass: the deference line is no longer described as paused on the wiki — both of its targets are live, the older one waiting on the succession of item 28 and its temporal-depth half now supplied by continuation BRIA — and the wiki gains a Theorem-Spine page stating the program's mature results at theorem level, labelled by strength and citing Lean names and claim ids; that page is a presentation of the record, not a registry, and the claims registries and the checkpoint status ledger remain the statements of record. It also states, for the first time on the wiki, the withdrawal of the one-sided completion interval and the sign hypothesis of the authoritative-regret bound. Rejected alternatives: keeping τ as a hypothesis component; letting bidders request durations now; the settlement-timed auction with a lookahead rule; registering the existence theorem as a statement of record ahead of a consumer; leaving the "paused" label with a footnote; mirroring registry rows onto the theorem-spine page.

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