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Construct complete P104 forward word and conditional hosting invoice - #2152
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Completes the actual query construction and all eight P104 correction terms in one finite forward word. The certificate uses 31 ordinary dirty fanout helpers and eight sequential rank-seven private copies. Exact replay checks all 735 public input columns, dirty restoration, common scalar charts, and public/private frame chronology. A second certificate changes 339 scalar charts while preserving coefficients, operation order, and every boundary frame, reducing the native invoice.
The package also checks literal native operators and a concrete inherited-window packing of 75,888 helper roles across 144 calls, using the actual lifetime widths rather than the old helper widths. The coalesced word's ideal-packing gain ceiling is only +0.05456%; its concrete packing invoice is 1.21467% below selected κ. Both are exact interval cost results. No improved κ, admitted global supplier, or optimality claim is made. The selected frontier and frozen predecessor sources remain unchanged.
Validation:
-I -O -B, including source pins, scalar identities, native phases, endpoint adapters, all 4096 private-path Gaussian columns per complete word, and rejecting controls.git diff --check.The owner certificate is conditional on inherited schedule windows. A new global emitter, backward interface, route/wrapper proof, and recursive precision/reserve admission remain open. The rejected concrete invoice cannot establish a gain even if those obligations are supplied. The README records feasible next questions and distinguishes this construction from the frozen-schedule obstruction in #2082 and other concurrent P104 work.
Predecessor attribution and exact source pins are retained in
README.mdandSOURCES.json, including the P104 work, selected scalar word, native compiler/interpreter, T16 owner schedule, and exact cost engine. Prepared for David Arias with substantial OpenAI Codex assistance and parallel checking; no human independent review or formal proof assistant is claimed.