{ "kind": "PNPProofProgress0", "version": 0, "modelId": "fixed-risk-weighted-checkpoints-v0", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-20-280", "lastReviewedDate": "2026-09-20", "proofCompletion": { "label": "risk-weighted proof completion estimate", "pointsEarned": 40, "pointsAvailable": 100, "percent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "isProbabilityOfCorrectness": false, "isTimeEstimate": false, "mayDecrease": true }, "formalArtefactCoverage": { "label": "formal artefact coverage", "earnedRows": 256, "totalRows": 258, "percentRoundedOneDecimal": 99.2, "isProofCompletionMetric": false, "denominatorCanGrow": true }, "tracks": [ { "id": "formal-foundations", "title": "Formal foundations and proof infrastructure", "pointsAvailable": 15, "pointsEarned": 13, "checkpoints": [ { "id": "foundations-concrete-kernel-interfaces", "title": "Concrete finite machine kernel and formal P, NP, verifier and reduction interfaces", "points": 4, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-machine-cost-kernel" }, { "kind": "milestone-earned", "id": "concrete-complexity-classes" }, { "kind": "status-field", "field": "leanConcreteCNFVerifierCorrectnessFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The concrete finite machine, complexity-class interfaces, verifier correctness and reduction interface are present in the checked status.", "remainingLimitation": "This does not supply the final compatibility linkage required by the eligible root theorem.", "lastReviewedDate": "2026-08-23" }, { "id": "foundations-recursive-pipeline", "title": "Recursive pipeline compilation and raw-machine refinement infrastructure", "points": 4, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanConcretePipelineAllInputCompilationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcretePipelineRawRefinementFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcretePipelineExternalInputSizePolynomialFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The checked status records all-input pipeline compilation, recursive raw refinement and its external-input size bound.", "remainingLimitation": "Infrastructure alone does not complete the final SAT construction or root theorem.", "lastReviewedDate": "2026-08-23" }, { "id": "foundations-inventory-gate", "title": "Compiled theorem inventory, axiom auditing and fail-closed publication gate", "points": 3, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanTheoremInventoryGeneratedFromCompiledEnvironment", "expected": true }, { "kind": "status-field", "field": "leanTheoremInventoryUsesCollectAxioms", "expected": true }, { "kind": "status-field", "field": "concretePublicationGate.unsetFingerprintIsIntentionalFailClosedMigrationGate", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The theorem inventory is compiler-derived, records axiom closures and is consumed by an explicitly fail-closed publication gate.", "remainingLimitation": "The publication gate remains false and therefore emits no final theorem claim.", "lastReviewedDate": "2026-08-23" }, { "id": "foundations-cnfsat-in-np", "title": "Concrete machine-checked proof that CNFSAT is in NP", "points": 2, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanConcreteCNFSATMembershipFormalized", "expected": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.FinalUniversalDesign.cnfSATInNP", "expectedPresent": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The exact concrete CNFSAT-in-NP declaration is present in the compiled inventory and named by the checked status.", "remainingLimitation": "NP membership is not a proof that CNFSAT is in P or NP-complete in the selected model.", "lastReviewedDate": "2026-08-23" }, { "id": "foundations-final-compatibility", "title": "Final concrete-model compatibility and foundational linkage required by the eligible root theorem", "points": 2, "status": "open", "evidence": [ { "kind": "status-field", "field": "rootLeanTheoremPresent", "expected": false }, { "kind": "status-field", "field": "concretePublicationGate.passed", "expected": false } ], "awardedAtCoordinate": null, "justification": "The eligible root is absent and the concrete publication gate is still closed.", "remainingLimitation": "The final concrete compatibility linkage must be formalized for the exact eligible root theorem.", "lastReviewedDate": "2026-08-23" } ] }, { "id": "concrete-reductions", "title": "Concrete reductions and locked-NAND route", "pointsAvailable": 20, "pointsEarned": 20, "checkpoints": [ { "id": "reductions-cook-levin-semantics", "title": "Cook-Levin finite semantics, formula-size bounds and answer-independent schedule specification", "points": 3, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-cook-levin-tableau-cnf-semantics" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-formula-size" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-formula-schedule" } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The finite Cook-Levin semantics, external formula-size bound and fixed schedule rows are all earned.", "remainingLimitation": "These rows do not constitute the complete all-input formula builder.", "lastReviewedDate": "2026-08-23" }, { "id": "reductions-cnf-to-nand", "title": "Concrete CNF-to-NAND polynomial reduction", "points": 3, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-cnf-to-nand-polynomial-reduction" }, { "kind": "status-field", "field": "leanConcreteCNFToNANDPolynomialReductionFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The checked all-input CNF-to-NAND machine reduction and its polynomial bound are formalized.", "remainingLimitation": "The downstream deterministic SAT and complexity transport obligations remain open.", "lastReviewedDate": "2026-08-23" }, { "id": "reductions-locked-nand", "title": "Locked-NAND semantic threshold and strict encoded polynomial reduction", "points": 4, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "global-locked-nand-threshold" }, { "kind": "milestone-earned", "id": "concrete-locked-nand-polynomial-reduction" }, { "kind": "status-field", "field": "leanConcreteLockedNANDPolynomialReductionFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The finite semantic threshold and strict-v0 encoded polynomial reduction are both checked.", "remainingLimitation": "The active compatibility layer is now concrete, but no deterministic locked-NAND decider or downstream residual-band construction follows from this reduction.", "lastReviewedDate": "2026-08-23" }, { "id": "reductions-builder-prefixes", "title": "Substantial literal finite-machine Cook-Levin builder prefixes", "points": 2, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-first-clause-prefix" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-second-constraint-seventh-padding-or-unary-opportunity-step" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-full-schedule-cursor-controller" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-arbitrary-slot-header-router" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-arbitrary-slot-post-header-decoder" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-post-header-raw-divider" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-post-header-raw-launch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-post-header-raw-tape-bridge" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-post-divider-raw-route-classifier" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-post-divider-selected-token-launch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-complete-schedule-iteration" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-optional-token-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-dispatch-schedule" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-finish-request" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-pipeline" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-request" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-workspace-orientation" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-first-body-separator-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-body-staged-request-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-terminal-join" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-staged-request-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-derived-finish-split" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-body-remainder-split" }, { "kind": "status-field", "field": "leanConcreteCookLevinFormulaBuilderFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The originally earned literal finite-machine builder prefixes retain their two-point baseline credit. M230 completes the general construction under the separate fixed complete-builder checkpoint; no additional prefix points are awarded.", "remainingLimitation": "These prefix results alone are not the complete construction. M230 earns the separate full-builder checkpoint and M231 earns the separate concrete NP-hardness checkpoint. Neither is a deterministic SAT algorithm or a closure of residual minimization, unconditional ZeroSlack, complete polynomial PCCMin or the eligible root theorem.", "lastReviewedDate": "2026-09-11" }, { "id": "reductions-report-locked-nand-linkage", "title": "Report-facing all-bitstring concrete locked-NAND reduction linkage", "points": 2, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanConcreteCNFToNANDAllInputExactFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCNFToNANDLockedReductionCompositionFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The report-facing reduction is linked over all bitstrings to the concrete locked-NAND route.", "remainingLimitation": "This linkage does not finish the Cook-Levin builder or deterministic SAT theorem.", "lastReviewedDate": "2026-08-23" }, { "id": "reductions-complete-cook-levin-builder", "title": "Complete all-input polynomial Cook-Levin formula builder and packaged reduction", "points": 3, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanConcreteCookLevinBuilderFullScheduleCursorControllerFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotHeaderRouterFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotHeaderRouterDecodesPostHeaderCoordinate", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotPostHeaderDecoderFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotPostHeaderDecoderAllCoordinateSemanticDecoderFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotPostHeaderDecoderRawDivisionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderArbitrarySlotPostHeaderDecoderRawBodyTokenEmissionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawDividerFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawDividerExactRawTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawDividerRawBodyTokenEmissionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchExactHandoffFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchAllRoutesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchLiteralTapeBridgeFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawLaunchRawBodyTokenEmissionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeExactRouterTapeInputsFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeLiteralTapeBridgeFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeArbitraryWorkspacePreservedFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeShieldedDividerTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeAllRoutesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeCompiledSimulationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostHeaderRawTapeBridgeRawBodyTokenEmissionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierExactDividerTapeInputsFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierProblemClauseCountSidecarDerivedFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierArbitraryWorkspacePreservedFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierShieldedComparatorTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierAllCoordinateBodyFinishAgreementFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierCompiledSimulationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerRawRouteClassifierRawBodyTokenEmissionFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchCanonicalScheduleSelectionFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchPaddingBodyFinishTransitionFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchCanonicalSelectedTokenLaunchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchCompiledSimulationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchLiteralRawSelectionHandoffFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPostDividerSelectedTokenLaunchScheduleIterationFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationAllCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationCompleteEncodedFormulaTokensFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationAggregateSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderCompleteScheduleIterationRawStageHandoffFormalized", "expected": false }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-optional-token-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-dispatch-schedule" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-finish-request" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-pipeline" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-request" }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestCanonicalFinishCoordinateDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestProtectedBuilderSuffixFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestLiteralFinishRequestWritten", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestFixedComposedMachineRuleCount", "expected": 137 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestPrecedingClassifierSuffixHandoffFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalFinishRequestLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineAuditedDeclarationCount", "expected": 63 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineAllCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineFixedComposedMachineRuleCount", "expected": 711 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineExactStageHandoffsFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineRouteAgreementFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierPipelineLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestAuditedDeclarationCount", "expected": 36 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestFixedComposedMachineRuleCount", "expected": 721 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestFinishCoordinateDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestClassifierVerdictSwapFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestExactRequestCellFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestWorkspacePreservationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestDispatcherConnected", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishRequestLiteralRawLoopFormalized", "expected": false }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-workspace-orientation" }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationAuditedDeclarationCount", "expected": 57 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationFixedComposedMachineRuleCount", "expected": 740 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationFinishCoordinateDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationClassifierPrefixDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationClassifierPrefixBlankFreeFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationBlankSentinelFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationWorkspaceOrientationFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationMirroredDispatcherEntryFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationMirroredDispatcherExecuted", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishWorkspaceOrientationLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleAllCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleCompleteEncodedFormulaTokensFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleExactPerCoordinateTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleAggregateSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleRawCoordinateRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalDispatchScheduleRawStageHandoffFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchFiveRequestAlphabetFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchLiteralRequestTapeHandoffFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchCanonicalAllCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchExactCompiledTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchMalformedRequestTimeoutFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchOneStepShortTimeoutFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchSourceSizePolynomialBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchRawCoordinateSelectorFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalOptionalTokenDispatchLiteralScheduleLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinFormulaBuilderFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPolynomialReductionFormalized", "expected": true }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-finish-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-first-body-separator-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-body-staged-request-mirrored-dispatch" }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchAuditedDeclarationCount", "expected": 51 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchFixedMirroredDispatcherRuleCount", "expected": 64 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchFixedComposedMachineRuleCount", "expected": 813 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchGenericMachineReflectionFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchFullClassifierFinishMirroredDispatcherExecuted", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchCompleteCanonicalCNFOutputFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchAllClassifierRoutesConnected", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFinishMirroredDispatchLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchAuditedDeclarationCount", "expected": 121 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFixedRequestWriterRuleCount", "expected": 2 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFixedOrientationRuleCount", "expected": 10 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFixedMirroredDispatcherRuleCount", "expected": 64 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFixedComposedMachineRuleCount", "expected": 814 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchFirstBodyIndexDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchSeparatorRequestDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchExactNextCanonicalPrefixFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchArbitraryBodyOrPaddingRequestDerived", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchAllClassifierRoutesConnected", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierFirstBodySeparatorMirroredDispatchLiteralRawLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchAuditedDeclarationCount", "expected": 82 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchFixedRequestRelayRuleCount", "expected": 14 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchFixedClassifierRelayMachineRuleCount", "expected": 734 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchFixedMirroredDispatcherRuleCount", "expected": 64 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchFixedComposedMachineRuleCount", "expected": 807 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchAllBodyCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchAllBodyAndPaddingRequestsStagedAndDispatched", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchCanonicalRequestStagedOnProtectedTape", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchRawRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchCombinedBodyFinishLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchExactNextCanonicalPrefixFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllBodyStagedRequestMirroredDispatchExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-terminal-join" }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinAuditedDeclarationCount", "expected": 34 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinFixedRedirectRuleCount", "expected": 9 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinFixedComposedMachineRuleCount", "expected": 720 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinAllPostHeaderCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinArbitraryWorkspaceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinBodyZeroAdditionalStepsFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinFinishOneAdditionalStepFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinCommonContinuationStateFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinTapePreservingTerminalJoinFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinRawRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinRequestDispatchFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinRepeatedBuilderLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierTerminalJoinExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-staged-request-mirrored-dispatch" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-derived-finish-split" }, { "kind": "milestone-earned", "id": "concrete-cook-levin-builder-physical-classifier-all-route-body-remainder-split" }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchAuditedDeclarationCount", "expected": 65 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchFixedRequestRelayRuleCount", "expected": 14 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchFixedClassifierRelayMachineRuleCount", "expected": 743 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchFixedMirroredDispatcherRuleCount", "expected": 64 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchFixedComposedMachineRuleCount", "expected": 816 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchAllPostHeaderCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchBodyAndFinishRoutesDispatched", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchCanonicalRequestStagedOnProtectedTape", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchRawRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchSuccessiveConfigurationsFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchRepeatedBuilderLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchExactNextCanonicalPrefixFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteStagedRequestMirroredDispatchExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitAuditedDeclarationCount", "expected": 91 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFixedRouteRelayRuleCount", "expected": 20 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFixedClassifierRelayMachineRuleCount", "expected": 749 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFixedConditionalDispatcherRuleCount", "expected": 65 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFixedComposedMachineRuleCount", "expected": 823 }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitAllPostHeaderCoordinatesFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitCanonicalRequestStagedOnProtectedTape", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitPhysicalBodyFinishRouteDerived", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitBodyPendingMarkerFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitFinishRequestDerivedFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitBodyRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitPaddingRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitRawRequestSynthesisFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitSuccessiveConfigurationsFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitRepeatedBuilderLoopFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitExactNextCanonicalFinishPrefixFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitExactNextCanonicalBodyPrefixFormalized", "expected": false }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitExactWorkTraceFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitCompiledRawMachineFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitOneStepShortNonhaltingFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPhysicalClassifierAllRouteDerivedFinishSplitExternalInputSizePolynomialFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderDynamicCursorFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderRawRefinementFormalized", "expected": true }, { "kind": "milestone-earned", "id": "concrete-cook-levin-complete-builder" }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilderMachine_accept", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilderMachine_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilder_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilder_rawRefinement_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.polynomialReduction_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cook_levin_formula_builder_checked_complete", "expectedPresent": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-10-230", "justification": "One finite source-derived machine now constructs the complete original canonical Cook-Levin formula for every raw input, including empty and odd lengths, with total polynomial runtime and encoded-output-size bounds and exact recursive raw refinement. The compiled PolynomialReduction uses the original formula semantics without a supplied trace or correctness certificate. This retires the full builder dependency, not another prefix or finite fixture.", "remainingLimitation": "M231 separately closes concrete CNFSAT NP-completeness using this complete reduction. The builder is not a deterministic SAT algorithm and does not close residual minimization, unconditional ZeroSlack, complete polynomial PCCMin or the eligible root theorem.", "lastReviewedDate": "2026-09-11" }, { "id": "reductions-concrete-np-hardness", "title": "Concrete NP-hardness or NP-completeness transport in the selected complexity model", "points": 2, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-cnf-np-completeness" }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessAuditedDeclarationCount", "expected": 2 }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cnfSAT_np_hard", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cnfSAT_np_complete", "expectedPresent": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-231", "justification": "The complete M230 source-derived polynomial reduction now applies to every concrete NP language through its verifier witness, and existing concrete CNFSAT membership closes the exact NPComplete CNFSAT proposition. This retires the named uniform NP-hardness transport obligation rather than adding a finite instance or supplied-data implication.", "remainingLimitation": "Every fixed checkpoint in the concrete-reductions track is now earned. These reduction results do not supply deterministic CNFSAT in P, unconditional residual minimization or ZeroSlack, complete polynomial PCCMin or the eligible root theorem. The separate final complexity-transport checkpoint remains open and receives no duplicate credit.", "lastReviewedDate": "2026-09-11" }, { "id": "reductions-final-target-compatibility", "title": "Final concrete SAT-to-target compatibility closure needed by the deterministic SAT theorem", "points": 1, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "concrete-legacy-locked-nand-compatibility" }, { "kind": "status-field", "field": "leanConcreteLegacyLockedNANDCompatibilityFormalized", "expected": true }, { "kind": "inventory-declaration", "name": "PNP.concrete_legacy_locked_nand_compatibility_checked_complete", "expectedPresent": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-186", "justification": "The active report-facing SAT and locked-NAND endpoints are definitionally the concrete languages, and the bridge consumes the compiled all-bitstring polynomial reduction without a caller-supplied trust edge.", "remainingLimitation": "The locked-NAND target still lacks a deterministic polynomial-time decider, and CNFSAT-in-P remains open. M231 separately supplies concrete CNFSAT NP-completeness; compatibility alone does not supply the final P = NP transport or root theorem.", "lastReviewedDate": "2026-09-11" } ] }, { "id": "unconditional-residual-core", "title": "Unconditional residual core and ZeroSlack", "pointsAvailable": 35, "pointsEarned": 2, "checkpoints": [ { "id": "residual-finite-stopping-foundations", "title": "Finite semantic stopping, strict-gain chain and terminal residual foundations", "points": 2, "status": "earned", "evidence": [ { "kind": "milestone-earned", "id": "residual-gain-chain-bound" }, { "kind": "milestone-earned", "id": "residual-gain-stopping-specification" }, { "kind": "status-field", "field": "leanResidualGainChainGlobalStoppingConsequenceFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "Finite strict-gain chains, semantic stopping and their terminal consequence are checked.", "remainingLimitation": "The chain endpoint and downstream terminal data remain proof-bearing or supplied rather than globally constructed.", "lastReviewedDate": "2026-08-23" }, { "id": "residual-derive-terminal-objects", "title": "Derive terminal candidates, supports, families, payloads, maps, ranks and tables from every valid input rather than supplying them", "points": 5, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanResidualBandMinimizerFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.ResidualBandMinimizer" } ], "awardedAtCoordinate": null, "justification": "The residual-band minimizer is not formalized and the relevant global blocker remains open.", "remainingLimitation": "M207 derives the unsigned charge and exact rank transition for M206's successful ambient embedding, but the terminal problem, source cells and cuts, restoration universes and maps, ambient ledgers, semantic full candidates, Packet ranks and claims, dependency table and selector silence remain supplied rather than constructed from every valid terminal input.", "lastReviewedDate": "2026-08-29" }, { "id": "residual-pkgc-bn3-bn6-integration", "title": "Complete PkgC and BN3-BN6 route integration under one terminal-derived family", "points": 4, "status": "open", "evidence": [ { "kind": "status-blocker-open", "id": "Formal.ResidualBandMinimizer" }, { "kind": "status-blocker-open", "id": "Formal.ZeroSlack" } ], "awardedAtCoordinate": null, "justification": "The global residual-minimizer and ZeroSlack blockers remain open despite substantial finite PkgC and BN rows.", "remainingLimitation": "M207 turns M206's successful ambient-reduction outcome into a context-parametric exact chargeSize-coordinate descent while preserving the residual ledger. PkgC/BN3--BN6 must still materialize semantically adequate full candidates, derive all source, restoration, ambient and downstream data from terminal input, connect the remainder transition to the complete terminal state, and turn every Hall deficit, incompatibility and activation mismatch into a genuine gain or formal rank decrease.", "lastReviewedDate": "2026-08-29" }, { "id": "residual-hn-bud-hb-semantics", "title": "Complete HN, BUD and HB blocker semantics and semantic dependency completeness", "points": 4, "status": "open", "evidence": [ { "kind": "status-blocker-open", "id": "Formal.ZeroSlack" } ], "awardedAtCoordinate": null, "justification": "Checked finite dependency tables and sidecars do not close the unconditional ZeroSlack blocker.", "remainingLimitation": "Blocker activity and dependency closure must be derived with the full intended semantics.", "lastReviewedDate": "2026-08-23" }, { "id": "residual-global-route-coverage", "title": "Complete global route coverage and prove every required route decreases the formal rank", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanResidualRoutesGlobalGainCompletenessFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.ZeroSlack" } ], "awardedAtCoordinate": null, "justification": "Global gain-route completeness is explicitly false.", "remainingLimitation": "M207 proves one M206 ambient branch strictly decreases the formal rank at the computed chargeSize coordinate. Hall deficits, ambient incompatibility, source activation mismatch, the other terminal routes, and one complete globally covered decreasing outcome system remain open.", "lastReviewedDate": "2026-08-29" }, { "id": "residual-unconditional-saturate-positive", "title": "Prove unconditional manuscript-level SaturatePositive", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanSaturatePositiveFormalized", "expected": false } ], "awardedAtCoordinate": null, "justification": "The manuscript-level SaturatePositive field is false.", "remainingLimitation": "Finite compositions with explicit positive premises do not establish the unconditional theorem.", "lastReviewedDate": "2026-08-23" }, { "id": "residual-unconditional-bcel-ready", "title": "Prove unconditional BCELReady, including the positive-slack-to-activation bridge", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanBCELReadyFormalized", "expected": false } ], "awardedAtCoordinate": null, "justification": "The manuscript-level BCELReady field is false.", "remainingLimitation": "Positive residual slack has not been turned into the required unconditional activation conclusion.", "lastReviewedDate": "2026-08-23" }, { "id": "residual-unconditional-zero-slack", "title": "Prove unconditional global ZeroSlack", "points": 8, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanZeroSlackCompletenessFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.ZeroSlack" } ], "awardedAtCoordinate": null, "justification": "ZeroSlack completeness is false and the named global blocker remains open.", "remainingLimitation": "Conditional finite sidecars and supplied-data coherence results do not prove unconditional global ZeroSlack.", "lastReviewedDate": "2026-08-23" } ] }, { "id": "exact-pccmin", "title": "Exact PCCMin algorithm, complexity and bounds", "pointsAvailable": 20, "pointsEarned": 1, "checkpoints": [ { "id": "pccmin-strict-gain-scaffold", "title": "Formal strict-gain chain and semantic stopping scaffold", "points": 1, "status": "earned", "evidence": [ { "kind": "status-field", "field": "leanResidualGainChainVerifierFormalized", "expected": true }, { "kind": "status-field", "field": "leanResidualGainStoppingSpecificationFormalized", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "justification": "The strict-gain and semantic stopping scaffold needed by a future loop is formalized.", "remainingLimitation": "No complete executable PCCMin loop or polynomial runtime theorem follows from the scaffold alone.", "lastReviewedDate": "2026-08-23" }, { "id": "pccmin-executable-loop", "title": "Complete executable PCCMin algorithm and loop definition", "points": 3, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsNormalizer", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleConstructsResolvers", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleConstructsSelectorRows", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleProvesZeroSlackClosure", "expected": false }, { "kind": "status-field", "field": "leanPCCMinLoopExactnessFormalized", "expected": false } ], "awardedAtCoordinate": null, "justification": "M191 reconstructs the manuscript's ordered HResolve, BudgetResolve, and complete finite-rank selector control flow inside the total oracle boundary, but the checked status still has no constructed component algorithms or complete PCCMin implementation.", "remainingLimitation": "The normalizer, resolvers, selector rows, realizer, blocker semantics, ZeroSlack closure, and their encoded execution must be constructed from the source input.", "lastReviewedDate": "2026-08-25" }, { "id": "pccmin-iteration-sound-descent", "title": "Prove every iteration is sound and strictly decreases the required measure", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopGainIterationBoundFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionLiftedGainFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsNormalizer", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleCanonicalAllRanksFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleConstructsResolvers", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleConstructsSelectorRows", "expected": false }, { "kind": "status-field", "field": "leanPCCMinLoopExactnessFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.ResidualBandMinimizer" } ], "awardedAtCoordinate": null, "justification": "M191 ensures every resolver or selector gain in the ordered oracle is proof-bearing and feeds the existing strict-slack loop, but it does not construct the route algorithms or prove their semantic completeness.", "remainingLimitation": "Every constructed route must compute the checked gain or terminal evidence from encoded input, and complete routing must prove that no valid transition is omitted.", "lastReviewedDate": "2026-08-25" }, { "id": "pccmin-termination-exactness", "title": "Prove completeness and exactness at termination using unconditional ZeroSlack", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopExactnessUnderOracleFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinTotalOracleLoopConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionExactEndpointTransportFormalized", "expected": true }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsNormalizer", "expected": false }, { "kind": "status-field", "field": "leanPCCMinNormalizeOracleCompositionConstructsOracle", "expected": false }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleCompleteSilenceRequired", "expected": true }, { "kind": "status-field", "field": "leanPCCMinRankOrderedOracleProvesZeroSlackClosure", "expected": false }, { "kind": "status-field", "field": "leanPCCMinLoopExactnessFormalized", "expected": false }, { "kind": "status-field", "field": "leanZeroSlackCompletenessFormalized", "expected": false } ], "awardedAtCoordinate": null, "justification": "M191 permits the terminal ZeroSlack branch only after complete typed silence across every supplied finite rank row, but the implication from that ledger to genuine ZeroSlack remains an explicit supplied closure.", "remainingLimitation": "Exactness must follow from constructed stages and an unconditional proof that the complete terminal-derived silence ledger implies ZeroSlack.", "lastReviewedDate": "2026-08-25" }, { "id": "pccmin-polynomial-objects", "title": "Construct selectors, certificates, families, tables and supporting objects in polynomial encoded size", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanPCCMinPolynomialRuntimeFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.PolynomialRuntimeAndCertificateBounds" } ], "awardedAtCoordinate": null, "justification": "The polynomial-runtime field is false and the size-and-runtime blocker remains open.", "remainingLimitation": "Exhaustive finite enumeration does not supply polynomial encoded-size constructions.", "lastReviewedDate": "2026-08-23" }, { "id": "pccmin-total-polynomial-bounds", "title": "Prove total polynomial runtime, output-size and certificate-size bounds", "points": 4, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanPCCMinPolynomialRuntimeFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.PolynomialRuntimeAndCertificateBounds" } ], "awardedAtCoordinate": null, "justification": "No complete encoded-input polynomial runtime theorem is present.", "remainingLimitation": "Termination and finite search are insufficient without uniform polynomial time and size bounds.", "lastReviewedDate": "2026-08-23" } ] }, { "id": "root-and-axioms", "title": "Root theorem and project-axiom elimination", "pointsAvailable": 10, "pointsEarned": 4, "checkpoints": [ { "id": "axiom-remove-generate-pccpack", "title": "Remove PNP.GeneratePCCPack as a project-specific axiom", "points": 1, "status": "earned", "evidence": [ { "kind": "inventory-project-axiom", "name": "PNP.GeneratePCCPack", "expectedPresent": false }, { "kind": "inventory-declaration", "name": "PNP.GeneratePCCPack", "expectedPresent": true }, { "kind": "milestone-earned", "id": "typed-pccpack-reflection" }, { "kind": "status-field", "field": "leanTypedPCCPackReflectionEndpointProjectAssumptionFree", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-188", "justification": "GeneratePCCPack is now a transparent typed constructor from an explicit PCCMin loop certificate, and the compiled inventory no longer lists it as project-specific proof authority.", "remainingLimitation": "The loop certificate remains an explicit input: no PCCMin construction, ZeroSlack theorem, or encoded-size polynomial bound follows from packaging it.", "lastReviewedDate": "2026-08-24" }, { "id": "axiom-remove-check-pccpackexp", "title": "Remove PNP.CheckPCCPackexp as a project-specific axiom", "points": 1, "status": "earned", "evidence": [ { "kind": "inventory-project-axiom", "name": "PNP.CheckPCCPackexp", "expectedPresent": false }, { "kind": "inventory-declaration", "name": "PNP.CheckPCCPackexp", "expectedPresent": true }, { "kind": "milestone-earned", "id": "typed-pccpack-reflection" }, { "kind": "status-field", "field": "leanTypedPCCPackReflectionEndpointProjectAssumptionFree", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-188", "justification": "CheckPCCPackexp is now a transparent structural identifier check with compiled acceptance and mismatched-identifier rejection theorems, and the inventory no longer lists it as a project axiom.", "remainingLimitation": "The checker does not construct or independently validate the supplied loop certificate, replay historical package bytes, or prove PCCMin exactness and runtime.", "lastReviewedDate": "2026-08-24" }, { "id": "axiom-remove-locked-nand-threshold", "title": "Remove PNP.LockedNANDThreshold as a project-specific axiom", "points": 1, "status": "earned", "evidence": [ { "kind": "inventory-project-axiom", "name": "PNP.LockedNANDThreshold", "expectedPresent": false }, { "kind": "milestone-earned", "id": "concrete-legacy-locked-nand-compatibility" }, { "kind": "status-field", "field": "leanConcreteLegacyLockedNANDCompatibilityEndpointProjectAssumptionFree", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-186", "justification": "LockedNANDThreshold is now a concrete definition used by the active bridge, and the compiled theorem inventory no longer lists it as an axiom.", "remainingLimitation": "The eligible root theorem, deterministic CNFSAT-in-P, and complexity transport remain absent.", "lastReviewedDate": "2026-08-24" }, { "id": "axiom-remove-residual-band-minimum", "title": "Remove PNP.ResidualBandExactMinimization as a project-specific axiom", "points": 1, "status": "earned", "evidence": [ { "kind": "inventory-project-axiom", "name": "PNP.ResidualBandExactMinimization", "expectedPresent": false }, { "kind": "milestone-earned", "id": "concrete-residual-band-compatibility" }, { "kind": "status-field", "field": "leanConcreteResidualBandCompatibilityEndpointProjectAssumptionFree", "expected": true } ], "awardedAtCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-187", "justification": "ResidualBandExactMinimization is now the concrete fail-closed direct-wire minimum-threshold language, the active compatibility edge is an identity reduction, and the compiled inventory no longer lists the former language axiom.", "remainingLimitation": "No executable polynomial residual-band minimizer, PCCMin exactness proof, ZeroSlack theorem, or encoded-size polynomial bound follows from the concrete language definition.", "lastReviewedDate": "2026-08-24" }, { "id": "root-deterministic-cnfsat-in-p", "title": "Prove deterministic CNFSAT is in P in the concrete model", "points": 2, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanConcreteCNFSATInPFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.ConcreteSAT" } ], "awardedAtCoordinate": null, "justification": "The concrete CNFSAT-in-P field is false.", "remainingLimitation": "A deterministic polynomial-time concrete SAT theorem is required.", "lastReviewedDate": "2026-08-23" }, { "id": "root-complexity-transport", "title": "Complete the standard complexity transport required for the concrete P equals NP result", "points": 1, "status": "open", "evidence": [ { "kind": "status-field", "field": "leanConcreteCNFSATInPFormalized", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.RootTheoremAndAxiomAudit" } ], "awardedAtCoordinate": null, "justification": "Concrete CNFSAT NP-completeness is now proved, but the deterministic SAT theorem and its final standard-complexity linkage to the eligible P = NP root remain absent. The two-point reduction checkpoint is credited separately; it cannot also earn this final transport checkpoint.", "remainingLimitation": "An exact concrete CNFSAT-in-P theorem and the remaining standard complexity transport required by the eligible root must be constructed and audited. NP-completeness alone earns no credit here.", "lastReviewedDate": "2026-09-11" }, { "id": "root-eligible-theorem", "title": "Create and successfully build the exact eligible root theorem PNP.Main.p_eq_np", "points": 2, "status": "open", "evidence": [ { "kind": "status-field", "field": "rootLeanTheoremPresent", "expected": false }, { "kind": "status-field", "field": "rootLeanTheoremBuilt", "expected": false }, { "kind": "inventory-declaration", "name": "PNP.Main.p_eq_np", "expectedPresent": false } ], "awardedAtCoordinate": null, "justification": "The exact eligible root theorem is absent from both status and compiled inventory.", "remainingLimitation": "The theorem must exist with the exact concrete type and build successfully.", "lastReviewedDate": "2026-08-23" }, { "id": "root-publication-gate", "title": "Pass the exact root axiom audit, fingerprints and publication gate", "points": 1, "status": "open", "evidence": [ { "kind": "status-field", "field": "rootLeanTheoremAxiomAuditPassed", "expected": false }, { "kind": "status-field", "field": "concretePublicationGate.passed", "expected": false }, { "kind": "status-blocker-open", "id": "Formal.RootTheoremAndAxiomAudit" } ], "awardedAtCoordinate": null, "justification": "The root axiom audit and publication gate are both false.", "remainingLimitation": "Exact type, value, source and axiom-closure fingerprints must be configured and match.", "lastReviewedDate": "2026-08-23" } ] } ], "globalGates": [ { "id": "concrete-sat", "title": "Concrete SAT", "status": "open", "statusBlocker": "Formal.ConcreteSAT" }, { "id": "residual-band-minimizer", "title": "Residual-band minimiser", "status": "open", "statusBlocker": "Formal.ResidualBandMinimizer" }, { "id": "unconditional-zero-slack", "title": "Unconditional ZeroSlack", "status": "open", "statusBlocker": "Formal.ZeroSlack" }, { "id": "polynomial-runtime-bounds", "title": "Polynomial runtime and certificate bounds", "status": "open", "statusBlocker": "Formal.PolynomialRuntimeAndCertificateBounds" }, { "id": "root-theorem-axiom-audit", "title": "Root theorem and axiom audit", "status": "open", "statusBlocker": "Formal.RootTheoremAndAxiomAudit" } ], "projectSpecificAxiomsRemaining": [], "rootTheorem": { "name": "PNP.Main.p_eq_np", "present": false, "built": false, "axiomAuditPassed": false }, "publicationGate": { "passed": false }, "scoreChangePolicy": { "fixedCheckpointWeights": true, "localMilestonesDoNotAutomaticallyChangeScore": true, "externalReviewIsNotMathematicalPremise": true, "requiredChangeRecordFields": [ "checkpointId", "oldStatus", "newStatus", "compiledEvidence", "sourceCoordinateOrCommit", "loadBearingRationale", "remainingTrackLimitations", "oldAndNewTotal", "uncertaintyRangeDecision" ] }, "history": [ { "kind": "baseline", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-184", "formalArtefactCoverage": { "earnedRows": 160, "totalRows": 162 }, "riskWeightedProofCompletionPercent": 30, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "rationale": "The M184 authoritative ledger contains 160 earned rows out of 162, superseding the earlier 152 of 154 example. No named load-bearing checkpoint closed merely because additional local or supplied-data milestones were earned, so the fixed-weight baseline remains 30 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-185", "formalArtefactCoverage": { "earnedRows": 161, "totalRows": 163 }, "riskWeightedProofCompletionPercent": 30, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "rationale": "M185 adds one machine-checked finite activation-coherence obstruction row, but it diagnoses rather than retires the supplied-data, unconditional BCELReady, or unconditional ZeroSlack obligations. No fixed checkpoint changed state, so the score remains 30 percent and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-186", "formalArtefactCoverage": { "earnedRows": 162, "totalRows": 164 }, "riskWeightedProofCompletionPercent": 32, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": true, "changedCheckpointIds": [ "reductions-final-target-compatibility", "axiom-remove-locked-nand-threshold" ], "changeRecords": [ { "checkpointId": "reductions-final-target-compatibility", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "inventory-declaration", "name": "PNP.concrete_legacy_locked_nand_compatibility_checked_complete", "expectedPresent": true }, { "kind": "status-field", "field": "leanConcreteLegacyLockedNANDCompatibilityFormalized", "expected": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-186", "loadBearingRationale": "The report-facing SAT and locked-NAND endpoints now inhabit the exact concrete finite-pipeline model and the active bridge reuses the compiled all-bitstring polynomial reduction without caller-supplied reduction trust.", "remainingTrackLimitations": "The locked-NAND target is not in P, concrete SAT NP-hardness remains absent, and the complete Cook-Levin formula builder remains open.", "oldAndNewTotal": { "old": 30, "new": 31 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "One defined compatibility edge closes, but the unresolved global blockers still dominate the mathematical risk." } }, { "checkpointId": "axiom-remove-locked-nand-threshold", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "inventory-project-axiom", "name": "PNP.LockedNANDThreshold", "expectedPresent": false }, { "kind": "status-field", "field": "leanConcreteLegacyLockedNANDCompatibilityEndpointProjectAssumptionFree", "expected": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-23-186", "loadBearingRationale": "The active LockedNANDThreshold endpoint is now a concrete definition rather than project-specific proof authority, and the compiled inventory removes that axiom from the active source closure.", "remainingTrackLimitations": "Three project-specific axioms remain, deterministic CNFSAT-in-P and complexity transport are open, the eligible root theorem is absent, and the publication gate remains false.", "oldAndNewTotal": { "old": 31, "new": 32 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "Removing one project axiom is load-bearing, but it does not reduce the unresolved ZeroSlack, PCCMin, deterministic SAT, or root-theorem uncertainty enough to narrow the range." } } ], "rationale": "M186 replaces the duplicate name-only report bridge with exact concrete finite-pipeline interfaces, reuses the compiled all-bitstring SAT-to-locked-NAND reduction, and removes PNP.LockedNANDThreshold from project-specific proof authority. Exactly two fixed one-point checkpoints close, moving the score from 30 to 32 percent while all five global gates stay open and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-187", "formalArtefactCoverage": { "earnedRows": 163, "totalRows": 165 }, "riskWeightedProofCompletionPercent": 33, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": true, "changedCheckpointIds": [ "axiom-remove-residual-band-minimum" ], "changeRecords": [ { "checkpointId": "axiom-remove-residual-band-minimum", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "inventory-project-axiom", "name": "PNP.ResidualBandExactMinimization", "expectedPresent": false }, { "kind": "inventory-declaration", "name": "PNP.concrete_residual_band_compatibility_checked_complete", "expectedPresent": true }, { "kind": "status-field", "field": "leanConcreteResidualBandCompatibilityEndpointProjectAssumptionFree", "expected": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-187", "loadBearingRationale": "The report-facing residual-band endpoint is now a concrete encoded candidate/threshold language, its exact arbitrary-candidate semantics are compiled, and the active locked-to-residual edge is an identity polynomial reduction rather than project-specific proof authority.", "remainingTrackLimitations": "GeneratePCCPack and CheckPCCPackexp remain project axioms; deterministic CNFSAT-in-P and complexity transport are open; the eligible root theorem is absent; and the publication gate remains false.", "oldAndNewTotal": { "old": 32, "new": 33 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "Removing one load-bearing language axiom is real progress, but the unresolved ZeroSlack, PCCMin, polynomial-runtime, deterministic-SAT, and root-theorem obligations still dominate the uncertainty." } } ], "rationale": "M187 replaces the residual-band language axiom and caller-supplied compatibility reduction with the concrete fail-closed encoded exact-minimum threshold predicate and a compiled identity reduction. Exactly one fixed one-point checkpoint closes, moving the score from 32 to 33 percent. Formal artefact coverage becomes 163 of 165, all five global gates remain open, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-188", "formalArtefactCoverage": { "earnedRows": 164, "totalRows": 166 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": true, "changedCheckpointIds": [ "axiom-remove-generate-pccpack", "axiom-remove-check-pccpackexp" ], "changeRecords": [ { "checkpointId": "axiom-remove-generate-pccpack", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "inventory-project-axiom", "name": "PNP.GeneratePCCPack", "expectedPresent": false }, { "kind": "inventory-declaration", "name": "PNP.GeneratePCCPack", "expectedPresent": true }, { "kind": "status-field", "field": "leanTypedPCCPackReflectionEndpointProjectAssumptionFree", "expected": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-188", "loadBearingRationale": "The active package generator is now a transparent typed constructor from an explicit loop certificate, so it no longer contributes project-specific proof authority.", "remainingTrackLimitations": "The explicit PCCMin loop certificate still must be constructed and proved exact in polynomial time; deterministic CNFSAT-in-P, complexity transport, the root theorem, and publication gate remain open.", "oldAndNewTotal": { "old": 33, "new": 34 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "One project axiom is removed, but the unresolved ZeroSlack, PCCMin, polynomial-runtime, deterministic-SAT, and root-theorem obligations still dominate the uncertainty." } }, { "checkpointId": "axiom-remove-check-pccpackexp", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "inventory-project-axiom", "name": "PNP.CheckPCCPackexp", "expectedPresent": false }, { "kind": "inventory-declaration", "name": "PNP.CheckPCCPackexp", "expectedPresent": true }, { "kind": "status-field", "field": "leanTypedPCCPackReflectionEndpointProjectAssumptionFree", "expected": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-188", "loadBearingRationale": "The active package checker is now a transparent structural check with compiled generated-package acceptance and mismatched-identifier rejection theorems, so it no longer contributes project-specific proof authority.", "remainingTrackLimitations": "The checker does not construct or independently certify the explicit loop witness, prove unconditional ZeroSlack or PCCMin exactness, establish polynomial runtime, or close any global gate.", "oldAndNewTotal": { "old": 34, "new": 35 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "Removing the final project axiom is load-bearing, but the central constructive and complexity obligations remain fully open." } } ], "rationale": "M188 replaces the two opaque PCCPack generator/checker declarations with transparent typed definitions and compiled reflection theorems. The project-specific axiom inventory falls from two to zero and exactly two fixed one-point checkpoints close, moving the score from 33 to 35 percent. Formal artefact coverage becomes 164 of 166, all five global gates remain open, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-24-189", "formalArtefactCoverage": { "earnedRows": 165, "totalRows": 167 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M189 formalizes the general proof-bearing PCCMin total-oracle control flow: strict gain responses preserve semantics and decrease residual slack, terminal responses carry exact-minimum or ZeroSlack evidence, recursion is well-founded, and gain iterations are bounded by the starting slack. The total oracle remains an explicit supplied boundary and the regression fixture is exhaustive rather than polynomial, so no fixed checkpoint or global gate closes. Formal artefact coverage becomes 165 of 167, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-25-190", "formalArtefactCoverage": { "earnedRows": 166, "totalRows": 168 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M190 composes the manuscript's proof-bearing NormalizeOrGain and PCCOracle stages for arbitrary finite direct-wire implementations. Non-increasing semantic normalization lifts subsequent oracle gains to strict gains from the original implementation, while exact-minimum and ZeroSlack endpoints transport back through normalization and reuse the checked well-founded loop. The total normalizer and total oracle remain explicit supplied boundaries and the regression fixtures are exhaustive rather than polynomial, so no fixed checkpoint or global gate closes. Formal artefact coverage becomes 166 of 168, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-25-191", "formalArtefactCoverage": { "earnedRows": 167, "totalRows": 169 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M191 reconstructs the manuscript's rank-ordered PCCOracle control flow for arbitrary finite selector rows: HResolve precedes BudgetResolve, every canonical rank is scanned, proof-bearing gains return immediately, and ZeroSlack requires a complete typed-blocker ledger. The normalizer, resolver algorithms, selector rows, realizer, blocker semantics, and final ZeroSlack closure remain explicit supplied boundaries, so no fixed checkpoint or global gate closes. Formal artefact coverage becomes 167 of 169, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-25-192", "formalArtefactCoverage": { "earnedRows": 168, "totalRows": 170 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M192 replaces M191's arbitrary selector rows and proof-bearing selector realizer with a complete executable check of data-only Packet claims at every canonical handle, then derives each exact-rank row by filtering that exhaustive handle list with the supplied table-owned rank map. The grouped family, rank assignment, claim data, HResolve and BudgetResolve algorithms, blocker semantics, normalizer, and final ZeroSlack closure remain supplied, so no fixed checkpoint or global gate closes. Formal artefact coverage becomes 168 of 170, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-25-193", "formalArtefactCoverage": { "earnedRows": 169, "totalRows": 171 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M193 replaces M192's opaque complete-silence-to-ZeroSlack callback with a kernel-checked derivation: complete claim acceptance and exact-rank silence feed the executable selector-silence induction, checked HB no-outcome closure eliminates every canonical faithful handle, and one explicit positive-residual-slack-to-faithful-selector premise supplies the final contradiction. That positive-slack bridge, terminal data, resolvers, normalizer, and polynomial construction remain supplied, so unconditional ZeroSlack, complete executable PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 169 of 171, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-25-194", "formalArtefactCoverage": { "earnedRows": 170, "totalRows": 172 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M194 replaces M193's arbitrary positive-slack-to-faithful-selector callback with the manuscript's earlier general route: positive slack supplies the still-explicit constant-activation premise, the existing arbitrary-family BN6 theorem constructs a positive Packet, and the route-clear payload checker constructs a faithful selector in the canonicalized table before the checked HB contradiction derives conditional ZeroSlack. Constant activation, terminal-data construction, resolver algorithms, normalizer, and polynomial bounds remain supplied, so manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 170 of 172, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-26-195", "formalArtefactCoverage": { "earnedRows": 171, "totalRows": 173 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M195 removes M194's opaque positive-slack-to-constant-activation callback from the new endpoint by binding one supplied Packet family to the same-candidate checked finite BCEL nucleus and exhaustively classifying the carrier, cut value, and every canonical nonempty proper-cut activation weight. A coherent result derives constant activation, identifies it with the BCEL projection excess, and reuses M194 for conditional ZeroSlack; each failure remains a typed carrier, cut-value, or activation mismatch route. The terminal problem, positive premise, checked ready certificate, family, tables, ranks, route-clear and HB data, resolvers, normalizer, and polynomial bounds remain supplied, while the mismatch routes are not gains or globally decreasing transitions and the finite cut scan may be exponential. Therefore manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 171 of 173, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-26-196", "formalArtefactCoverage": { "earnedRows": 172, "totalRows": 174 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M196 removes M195's independently supplied Packet carrier and cut value by constructing the BN6 family skeleton from the same checked finite BCEL nucleus. Carrier duplicate-freedom and cut-value positivity are inherited from the computed nucleus, so the carrier and cut-value mismatch branches are impossible by construction; the new endpoint preserves only an exact proper-cut activation mismatch or reuses M195 for conditional ZeroSlack. The terminal problem, positive premise, checked ready certificate, grouped cells and payloads, exact grouping proofs, tables, ranks, route-clear and HB data, resolvers, normalizer, and polynomial bounds remain supplied. The remaining activation mismatch is not a gain or globally decreasing transition, and the inherited finite cut scan may be exponential. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 172 of 174, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-26-197", "formalArtefactCoverage": { "earnedRows": 173, "totalRows": 175 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M197 removes M196's supplied V54 consumer systems, singletonization certificates, exact group-footprint-size proofs, and duplicate-free grouping proof. Each supplied raw support is normalized inside the checked BCEL carrier, its singleton consumer system is constructed, duplicate footprints are coalesced, and every positive payload atom is preserved before the canonical grouped family reuses M196. The terminal problem, positive premise, checked ready certificate, raw supports and payloads, table, ranks, route-clear and HB data, resolvers, normalizer, and polynomial bounds remain supplied; the raw cells are not derived from BN3, BN4, BN5, PkgC, or every terminal input. The remaining activation mismatch is not a gain or globally decreasing transition, and the inherited finite cut scan may be exponential. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 173 of 175, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-27-198", "formalArtefactCoverage": { "earnedRows": 174, "totalRows": 176 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M198 proves an arbitrary-finite conservation theorem at the BN4/BN6 activation edge: collecting raw positive payload atoms by canonical normalized footprint and coalescing duplicate footprints preserves the exact crossing-mass sum on every cut. The checked PCCMin endpoint now expresses its sole surviving BCEL obstruction directly as a mismatch between that raw positive-cell cut ledger and the checked defect rather than through an opaque grouped-family activation total. The terminal problem, positive premise, checked ready certificate, raw cells and payloads, table, ranks, route-clear and HB data, resolvers, normalizer, and polynomial bounds remain supplied; the raw cells are not derived from terminal data, the constant-activation equation remains open, the mismatch is not a gain or globally decreasing transition, and the inherited finite cut scan may be exponential. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 174 of 176, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-27-199", "formalArtefactCoverage": { "earnedRows": 175, "totalRows": 177 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M199 proves that a shape-specific sparse V53 basis is equivalent to the complete constant proper-cut equation on every finite carrier of size at least two, and supplies a total typed classifier using only the two-anchor full weight, three singleton cuts, or four-plus full-span support and weight. The checked PCCMin adapter consumes an accepted basis directly, retains M198's exact raw cut-ledger reflection, and reaches the existing Packet/BN6/BCEL/HB conditional ZeroSlack contradiction without invoking M195's powerset classifier; every rejection remains one explicit structural route. The terminal problem, checked ready certificate, raw cells and payloads, realizer table, claims, ranks, route-clear and HB data, resolvers, normalizer, and encoded-size polynomial bounds remain supplied; a rejected basis is not a gain or globally decreasing transition, raw cells are not derived from every terminal input, and upstream construction may still enumerate subsets. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 175 of 177, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-27-200", "formalArtefactCoverage": { "earnedRows": 176, "totalRows": 178 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M200 proves that all singleton and order-preserving pair cuts form a duplicate-free quadratic-size test family equivalent to the complete constant proper-cut equation on every finite sparse positive V53 carrier of size at least two. Its total classifier returns the first exact small proper-cut mismatch rather than M199's structural-only rejection, and the checked PCCMin adapter reflects that mismatch through M198's direct raw positive-cell activation ledger or reaches M199's Packet/BN6/BCEL/HB conditional ZeroSlack branch. The terminal problem, checked ready certificate, raw cells and payloads, realizer table, claims, ranks, route-clear and HB data, resolvers, normalizer, and complete encoded-input polynomial bounds remain supplied; the local quadratic list bound is not a complete PCCMin runtime theorem, a mismatch is not a gain or globally decreasing transition, raw cells are not derived from every terminal input, and upstream construction may still enumerate subsets. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 176 of 178, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-27-201", "formalArtefactCoverage": { "earnedRows": 177, "totalRows": 179 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M201 proves an arbitrary-finite PkgC-to-BN6 cellization boundary over one supplied carrier and typed restorer. Each supplied active V54 consumer system either yields the exact first same-key PkgC cancellation realization or is proved singletonized; in the all-singletonized branch Lean derives each raw BN6 support from the consumer footprint, derives support size at least two from the active cut, preserves positive payload order, and proves exact activation-weight conservation on every cut. The terminal problem, source consumer systems, active cuts, payload atoms, typed restorer, and all upstream BN3--BN5 construction remain supplied; a returned cancellation is not yet a verified global gain or rank-decreasing transition, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate, and all fixed checkpoints remain open. Formal artefact coverage becomes 177 of 179, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-28-202", "formalArtefactCoverage": { "earnedRows": 178, "totalRows": 180 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M202 composes M201's arbitrary-finite PkgC cellization with M200's checked sparse BN6/BCEL/Packet/HB boundary without accepting an independent raw BN6 ledger. The total classifier retains the exact source-member same-key cancellation, returns genuine conditional ZeroSlack on the checked coherent branch, or reflects one exact nonempty proper singleton/pair cut mismatch through all-cut activation conservation to the original PkgC source activation ledger. The terminal problem, checked finite BCEL-ready certificate, active source systems and cuts, payloads, typed restorer, realizer table, claims, rank assignment, dependency table, checked HB closure, route-clear result and selector silence remain supplied; cancellation or mismatch is not a verified gain or globally rank-decreasing transition, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate and all fixed checkpoints remain open. Formal artefact coverage becomes 178 of 180, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-28-203", "formalArtefactCoverage": { "earnedRows": 179, "totalRows": 181 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M203 removes the caller-supplied remainder and permutation seam from M202's exact PkgC cancellation branch. Constructive remove-first recursion over every arbitrary finite ambient BN4 ledger preserves duplicate multiplicity and accepts every admissible order while computing the exact remainder, multiset embedding and complete residual-ledger reduction, or retaining a generated cell with proof that no exact remainder embedding exists. The same checked BCEL nucleus constructs the ambient BN4 kernel internally, and M202's conditional ZeroSlack and source activation mismatch branches are preserved. The terminal problem, active source systems and cuts, payloads, typed restorer, ambient ledger, realizer table, claims, ranks, dependency table, checked HB closure, route-clear result and selector silence remain supplied; the remainder is not proved empty, extraction incompatibility is not a global route, neither cancellation branch is a verified gain or rank descent, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate and all fixed checkpoints remain open. Formal artefact coverage becomes 179 of 181, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-28-204", "formalArtefactCoverage": { "earnedRows": 180, "totalRows": 182 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M204 replaces the always-total supplied typed-restorer branch at this boundary with the existing arbitrary-finite exact-coordinate restoration classifier. If the first separating pair has incomplete restoration coverage, Lean retains the exact TerminalBN5HallDeficit, its forced qRestorationHall route and strict neighbourhood deficit. Complete coverage constructs one positive and one negative BN4 unit cell for every canonical quotient unit, proves keywise balance, empty executable residual and zero signed mass, then uses constructive exact-subledger extraction to compute an arbitrary-order ambient remainder and complete residual-ledger equality or prove no exact embedding exists. The consumer system, finite restoration-coordinate universe, quotient map, full-restoration coordinate lists and ambient ledger remain supplied; equality-fibre coverage does not materialize semantic full candidates or prove restoration adequacy, the Hall deficit is not yet a verified gain or global rank descent, the remainder is not proved empty, incompatibility is not a complete global route, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate and all fixed checkpoints remain open. Formal artefact coverage becomes 180 of 182, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-28-205", "formalArtefactCoverage": { "earnedRows": 181, "totalRows": 183 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M205 lifts M204's proof-bearing restoration-coverage result over the complete arbitrary-finite active PkgC source ledger in canonical list order without accepting an always-total typed restorer. The all-source singletonized branch constructs M201's complete BN6 positive-cell ledger and proves exact source length, payload order and activation-weight conservation on every cut. Otherwise the classifier retains the first exact source member carrying a Hall deficit and forced qRestorationHall route, a coverage-constructed balanced cancellation with computed ambient remainder and residual-ledger reduction, or a generated cell proving no exact embedding exists. The source cells and active cuts, payloads, per-source restoration universes and maps, full-restoration coordinate lists, and ambient BN4 ledgers remain supplied; coordinate coverage does not materialize semantic full candidates, the Hall route is not a verified global gain or rank descent, the computed remainder is not proved empty, no-embedding is not a complete global route, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore terminal-input derivation, complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate and all fixed checkpoints remain open. Formal artefact coverage becomes 181 of 183, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-29-206", "formalArtefactCoverage": { "earnedRows": 182, "totalRows": 184 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M206 composes M205's arbitrary-finite typed-restorer-free restoration-coverage ledger with the checked sparse BN6/BCEL Packet/HB boundary. Every ambient ledger is tied to the same computed BCEL nucleus. The total classifier retains the first exact source-member Hall deficit, coverage-derived ambient reduction, or no-embedding witness; only the proved all-singletonized branch constructs the M205 BN6 ledger and enters the downstream checked classifier, whose raw small-cut mismatch is reflected back to the original enriched source activation ledger while its coherent branch yields conditional ZeroSlack. The terminal problem, checked BCEL-ready certificate, source cells and cuts, restoration universes and maps, ambient ledgers, semantic full candidates, ranks, claims, dependency table, checked HB closure, route-clear result and selector silence remain supplied; the Hall route is not a verified global gain or rank descent, the remainder is not proved empty, incompatibility and activation mismatch are not complete decreasing routes, and no complete encoded-input polynomial construction or runtime theorem is proved. Therefore terminal-input derivation, complete PkgC/BN3--BN6 integration, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, executable polynomial PCCMin, every global gate and all fixed checkpoints remain open. Formal artefact coverage becomes 182 of 184, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-29-207", "formalArtefactCoverage": { "earnedRows": 183, "totalRows": 185 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M207 upgrades M206's successful ambient-extraction branch to an exact computed rank transition. Unsigned BN4 charge is the sum of every cell mass, is additive under concatenation and invariant under exact permutation. The coverage-derived cancellation subledger has charge 2 times the combined lengths of the two nonempty separating consumers and is therefore strictly positive. M206's exact multiset embedding decomposes ambient charge into that removed charge plus remainder charge, so the remainder strictly decreases the eighth chargeSize coordinate of TerminalResidualRank for every fixed assignment of the other nine coordinates while the complete canonical residual ledger is preserved. No rank, inequality, descent proof or success flag is supplied. Hall, ambient-incompatibility and activation-mismatch branches remain explicit diagnostics rather than complete global routes, the remainder is not proved empty, and terminal, source, restoration, ambient, semantic, Packet and HB data remain supplied. Therefore complete terminal-input derivation, PkgC/BN3--BN6 integration, global route coverage, HN/BUD/HB semantic completeness, manuscript-wide SaturatePositive and BCELReady, unconditional ZeroSlack, exact polynomial PCCMin and every global gate remain open. Formal artefact coverage becomes 183 of 185, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-29-208", "formalArtefactCoverage": { "earnedRows": 184, "totalRows": 186 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M208 replaces continued fixed-slot Cook-Levin control extension with one all-input full-schedule controller. The exact polynomial body-opportunity count covers every rectangular clause-token slot plus final Finish; the semantic cursor traverses the complete canonical schedule and emits the canonical encoded formula. One deterministic finite raw machine composes the complete header, generated count and terminal-coordinate evaluators, three total bridges and the fixed positive countdown table. It consumes the arbitrary count exactly, materializes the terminal coordinate, accepts within an explicit input-size polynomial bound and remains fail-closed for malformed countdown geometry, the unlaunched header endpoint and one-step-short fuel. The raw loop does not decode or emit each visited body entry, so the complete builder, RawRefinement and packaged PolynomialReduction remain false. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 184 of 186, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-29-209", "formalArtefactCoverage": { "earnedRows": 185, "totalRows": 187 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M209 adds the first non-repeatable raw decoder layer after M208's complete-schedule controller. One fixed 54-rule deterministic work machine compares every supplied natural coordinate with the exact problem-derived first-body boundary; its exact trace accepts precisely the header branch, rejects equality and post-header coordinates, stays timeout one step short, and sends malformed symbols into a nonhalting dead state. The semantic route is definitionally faithful to formulaTokenSlotDirect, and every coordinate below the terminal slot compiles within the verifier-derived polynomial 36 * terminalSlotPolynomial^2. The router does not decode the post-header quotient into a clause and within-clause slot or emit a body token, so the complete builder, RawRefinement and packaged PolynomialReduction remain false. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 185 of 187, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-30-210", "formalArtefactCoverage": { "earnedRows": 186, "totalRows": 188 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M210 adds an unbounded semantic decoder after M209's fixed raw header route. For every natural post-header coordinate, a structurally recursive rectangle decoder returns the exact finite clause and within-clause position, the unique final Finish coordinate, or the out-of-range suffix; every body result reconstructs the original coordinate and the typed route agrees exactly with direct token lookup. A checked reader also recovers the exact shifted remainder already encoded by M209's raw result configuration for every comparison trace. M210 does not implement raw division, raw body-token emission, the complete raw builder, RawRefinement or the packaged PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 186 of 188, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-30-211", "formalArtefactCoverage": { "earnedRows": 187, "totalRows": 189 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M211 adds a fixed 99-rule unary quotient/remainder kernel after M210's semantic post-header decoder. For every natural dividend and positive width, its exact work trace accepts with the natural quotient and strict remainder, reconstructs the dividend, compiles with exactly six raw steps per work step, times out one step short and satisfies an explicit quadratic bound in the complete unary encoded input length. The zero-width dispatcher is fail-closed, and M210 body coordinates instantiate the same decoded quotient and remainder. The machine remains standalone: it is not spliced onto M209's checked raw result, does not emit a selected body token or Finish, and does not complete RawRefinement or the packaged PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 187 of 189, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-30-212", "formalArtefactCoverage": { "earnedRows": 188, "totalRows": 190 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M212 joins M209's exact raw remainder endpoint, M210's all-coordinate semantic route classifier and M211's exact fixed divider through executable Lean orchestration. For every natural coordinate it derives the header or post-header launch without a supplied route witness, retains the exact traces of both machines, recovers body, Finish and out-of-range results, excludes the out-of-range post-header branch throughout the complete token schedule, and bounds the summed compiled steps by one verifier-derived polynomial in source-input length. It is not yet a literal raw tape rewrite between the two machines, does not preserve the complete builder workspace through that bridge, and emits no body or Finish token; RawRefinement and the packaged PolynomialReduction remain open. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 188 of 190, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-30-213", "formalArtefactCoverage": { "earnedRows": 189, "totalRows": 191 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M213 replaces M212's value-level launch with a fixed 351-rule literal tape bridge from both exact M209 post-header terminal layouts into M211's shielded unary divider input. For every positive problem-derived width it preserves arbitrary exterior builder workspace, proves exact equality and greater-branch traces, retains the exact shielded divider trace, decodes the quotient and remainder after stripping the exterior, compiles every checked work step to six raw steps, times out one step short, and bounds every in-range staged execution by one verifier-derived source-size polynomial. Zero width enters the nonhalting dead state. The result still emits no selected body or Finish token, does not iterate the complete builder, and supplies neither RawRefinement nor the packaged PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 189 of 191, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-31-214", "formalArtefactCoverage": { "earnedRows": 190, "totalRows": 192 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M214 closes the next literal post-divider routing boundary. One fixed collision-free 180-rule bridge consumes both exact M213 divider-terminal layouts, copies the exact problem-derived clause count from a restored workspace sidecar, preserves the exterior and remainder ledger, and exposes the quotient to a shielded M209 comparator. Exact bridge and comparator traces compile at six raw steps per work step, time out one step short, agree for every in-range coordinate with M210 body or Finish routing, and fit one verifier-derived source-size polynomial. The result does not inspect, select, emit, or append the corresponding token, iterate the complete builder, provide RawRefinement, or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 190 of 192, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-31-215", "formalArtefactCoverage": { "earnedRows": 191, "totalRows": 193 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M215 derives every post-header padding, body-token, or Finish entry from the canonical schedule without a supplied route or token, retains M214's physical classifier evidence, and launches the existing fixed appender on each populated coordinate to reach exactly the next canonical emitted prefix. Exact work and compiled traces, one-step-short nonhalting, and the combined M214-plus-appender work all fit one verifier-derived source-size polynomial. The selection handoff remains executable Lean orchestration rather than a literal raw tape rewrite, and the theorem does not iterate the schedule, complete the formula builder, provide RawRefinement, or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 191 of 193, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-08-31-216", "formalArtefactCoverage": { "earnedRows": 192, "totalRows": 194 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M216 recursively consumes every verifier-derived post-header opportunity without supplied coordinate, token, route, trace, schedule, or precomputed formula. Every bounded run equals the canonical emitted prefix, the complete pass equals the exact encoded CNF token stream, every coordinate retains M215's physical classifier/appender evidence for arbitrary workspace, and aggregate staged compiled work fits one source-size polynomial. The recursion remains executable Lean orchestration over separately checked stages rather than one literal raw-machine loop or physical tape-to-tape stage iteration, and it does not provide builder RawRefinement or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 192 of 194, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-01-217", "formalArtefactCoverage": { "earnedRows": 193, "totalRows": 195 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M217 replaces M215's value-level selector-to-appender handoff with one fixed 64-rule physical work machine over the complete five-symbol optional-token request alphabet. For arbitrary raw input, exterior workspace, output prefix and request, one tape-resident symbol restores the canonical left boundary and either preserves padding output or enters the existing renamed 59-rule appender. Exact work and six-for-one compiled traces, one-step-short nonhalting, malformed-request timeout, canonical all-coordinate specialization through scheduleEntry, and one verifier-derived source-size polynomial are checked. The request remains an input to the stage: it is not yet produced from M214's raw classifier, connected as a literal classifier-to-dispatcher tape handoff, or iterated as one physical schedule loop, and the result does not provide builder RawRefinement or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 193 of 195, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-01-218", "formalArtefactCoverage": { "earnedRows": 194, "totalRows": 196 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M218 composes M217 fixed physical optional-token dispatcher across every canonical post-header opportunity. A total recursion agrees at every bounded prefix with the canonical emitted schedule and reaches the exact encoded CNF formula. Every coordinate and arbitrary exterior retains exact work, compiled and one-step-short physical traces, M214 physical classifier evidence, and an aggregate source-size polynomial bound. Each request remains constructed from the canonical Lean schedule and the exact traces are not connected by one literal raw-machine loop or physical tape-to-tape handoff. Builder RawRefinement and the packaged PolynomialReduction remain absent, and concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 194 of 196, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-01-219", "formalArtefactCoverage": { "earnedRows": 195, "totalRows": 197 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M219 closes the first literal physical classifier-to-request branch for the unique canonical Finish coordinate. For every verifier problem, the coordinate is derived internally, M214 supplies its equal classifier result, the builder suffix is protected beyond the comparator end marker, one fixed writer creates M217's tape-resident Finish request, and one collision-free 137-rule composition runs the comparator, writer and dispatcher. Exact work, six-for-one compiled and one-step-short traces hold for arbitrary classifier exterior, and one verifier-derived polynomial bounds compiled work. Body and padding request derivation, the preceding suffix-preserving classifier handoff, one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 195 of 197, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-01-220", "formalArtefactCoverage": { "earnedRows": 196, "totalRows": 198 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M220 composes the complete suffix-preserving physical classifier pipeline for every canonical post-header coordinate. One fixed collision-free 711-rule machine joins the router-to-divider bridge, raw divider, divider-to-comparator bridge and comparator through three exact tape handoffs over arbitrary protected builder workspace. The final raw state agrees with the typed body-or-Finish result, and exact work, compiled execution, one-step-short nonhalting, component decomposition and a source-size polynomial bound are kernel checked. Body-token and padding request symbols are not generated, the classifier result is not connected to the request dispatcher, and one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 196 of 198, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-02-221", "formalArtefactCoverage": { "earnedRows": 197, "totalRows": 199 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M221 connects the unique canonical Finish terminal of M220's complete physical classifier pipeline to one literal M217-compatible request cell. For every verifier problem and arbitrary protected workspace, the coordinate is derived internally, the classifier verdict names are swapped without changing transition semantics, and one collision-free 721-rule composition changes exactly the focused end marker into the Finish request. Exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound are kernel checked. Body-token and padding request symbols are not generated, the preserved workspace is not reoriented or connected to M217's dispatcher, and one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 197 of 199, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-02-222", "formalArtefactCoverage": { "earnedRows": 198, "totalRows": 200 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M222 physically reorients the unique full-classifier Finish workspace. For every verifier problem, one blank sentinel protects the canonical builder workspace, the complete M220/M221 classifier prefix is derived and proved blank-free, and a fixed ten-rule left scanner is chained to M221. The resulting collision-free 740-rule machine crosses exactly that prefix and halts with a tape equal to the spatial mirror of M217's canonical Finish request entry; exact work, compiled execution, one-step-short nonhalting, a derived prefix-size bound and a source-size polynomial bound are kernel checked. M217 is not executed on the mirrored representation, body-token and padding request symbols are not generated, and one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 198 of 200, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-02-223", "formalArtefactCoverage": { "earnedRows": 199, "totalRows": 201 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M223 executes the unique full-classifier Finish path through a mechanically reflected copy of M217. Reflection exchanges left and right moves while preserving each finite rule query and state, and its exact-run transport is proved once. Chained after M222, the collision-free 813-rule machine reaches a reflected appender endpoint containing the complete canonical CNF token encoding, with exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. Body-token and padding request symbols are not generated, all classifier outcomes are not connected to dispatch, and one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 199 of 201, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-03-224", "formalArtefactCoverage": { "earnedRows": 200, "totalRows": 202 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M224 closes the first populated body route through the complete physical classifier and reflected dispatcher. For every verifier problem it derives first-body coordinate zero and its separator schedule entry, executes the 711-rule classifier through the positive body terminal, crosses the exact remaining unary clause count with a fixed two-rule request writer, reorients the protected workspace with a fixed ten-rule scanner, and executes M223's reflected 64-rule dispatcher. The collision-free 814-rule composition reaches the exact next canonical prefix ending in the first clause separator, with exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. Arbitrary body-token and padding request generation, all-route dispatcher connection, one literal repeated schedule loop, builder RawRefinement and the packaged PolynomialReduction remain absent; concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 200 of 202, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-03-225", "formalArtefactCoverage": { "earnedRows": 201, "totalRows": 203 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M225 replaces M224's single populated coordinate with one theorem and one fixed physical machine covering every coordinate in the complete clause-token body rectangle. For each verifier-derived body coordinate, the 711-rule classifier preserves an explicitly staged canonical optional-token request, a fixed 14-rule relay crosses the blank-free classifier prefix and validates that request, and M223's reflected 64-rule dispatcher reaches the exact next canonical emitted prefix. The collision-free 807-rule composition covers populated and padding coordinates with exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. The request is still staged rather than synthesized from raw classifier state; the unique Finish path is not combined with body execution in one repeated schedule loop, and builder RawRefinement and the packaged PolynomialReduction remain absent. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 201 of 203, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-03-226", "formalArtefactCoverage": { "earnedRows": 202, "totalRows": 204 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M226 normalizes the complete physical classifier's terminal control flow for every verifier-derived post-header coordinate and arbitrary protected workspace. It injectively embeds M220's fixed 711-rule classifier and adds a total nine-symbol, tape-preserving redirect from the unique Finish/reject terminal to the same continuation-ready accepting state reached by every body coordinate. The collision-free 720-rule wrapper gives body routes zero additional steps and Finish exactly one, with exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. It does not synthesize or dispatch a body request, connect successive coordinates, implement one repeated physical builder loop, prove builder RawRefinement or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 202 of 204, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-04-227", "formalArtefactCoverage": { "earnedRows": 203, "totalRows": 205 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M227 unifies the complete physical classifier route domain with the reflected optional-token dispatcher in one fixed machine. For every verifier-derived post-header coordinate, including every body coordinate and the unique Finish coordinate, M226's terminal-joined classifier reaches a blank-free body-or-Finish prefix while preserving a canonical optional-token request explicitly staged behind a protected blank sentinel. A fixed 14-rule relay validates all five request values and feeds M217's reflected fixed 64-rule dispatcher. The collision-free 816-rule composition reaches the exact next canonical emitted prefix with exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. It does not synthesize the request from raw classifier state, connect successive configurations, implement one repeated physical builder loop, prove builder RawRefinement or package the PolynomialReduction. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 203 of 205, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-05-228", "formalArtefactCoverage": { "earnedRows": 204, "totalRows": 206 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M228 removes M227's staged optional-token request cell while preserving one uniform theorem over the complete verifier-derived post-header schedule. M226's terminal-joined classifier now drives a fixed 20-rule physical split: every body terminal produces a collision-free non-request pending marker, while the unique Finish terminal produces the canonical Finish request and executes a fixed 65-rule conditional reflected dispatcher to the exact next emitted prefix. The collision-free 823-rule composition has exact work, compiled execution, one-step-short nonhalting and a source-size polynomial bound kernel checked. Every body-token and padding request remains unsynthesized, body routes intentionally halt at that boundary, and successive configurations, one repeated loop, builder RawRefinement and the packaged PolynomialReduction remain open. Concrete NP-hardness transport, CNFSAT in P and all residual, PCCMin, ZeroSlack and root obligations are unchanged. Therefore no fixed checkpoint or global gate closes. Formal artefact coverage becomes 204 of 206, the score remains 35 percent, and the uncertainty range remains 20 to 40 percent." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-05-229", "formalArtefactCoverage": { "earnedRows": 205, "totalRows": 207 }, "riskWeightedProofCompletionPercent": 35, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "For every concrete verifier problem and every coordinate in its complete post-header schedule, M229 runs M228 without a staged request, route, remainder or success certificate. It preserves the completed Finish endpoint and sends every body route through one fixed 36-rule physical scanner. The scanner crosses the retained clause-count and exterior boundaries, skips consumed-dividend marks, and distinguishes zero from positive remainder by the actual separator or unit symbol. The physical remainder equals the canonical body token coordinate. The collision-free 895-rule graph has exact work, six-for-one compiled execution, one-step-short nonhalting, and a verifier-input-size polynomial bound. All 71 public declarations are axiom-audited: 39 have empty closure, nine use only propext, and 23 use only propext and Quot.sound, with no project axiom or Classical.choice. This milestone reads the physical body remainder but leaves clause occupancy and body-token and padding request synthesis open. Both body outcomes remain incomplete terminal configurations, distinguished by tape content. It does not connect successive schedule configurations, implement the repeated builder loop, prove builder FunctionProgram.RawRefinement, or package the Cook-Levin PolynomialReduction. It does not establish CNFSAT NP-hardness or NP-completeness transport or CNFSAT in P, close a fixed checkpoint or global gate, create the eligible root theorem, or prove P = NP. No fixed checkpoint changes state. Formal artefact coverage is 205 of 207 current scoped publication rows earned. The risk-weighted proof completion estimate remains 35 percent, with an uncertainty range of 20 to 40 percent. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-10-230", "formalArtefactCoverage": { "earnedRows": 206, "totalRows": 208 }, "riskWeightedProofCompletionPercent": 38, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": true, "changedCheckpointIds": [ "reductions-complete-cook-levin-builder" ], "changeRecords": [ { "checkpointId": "reductions-complete-cook-levin-builder", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "status-field", "field": "leanConcreteCookLevinBuilderDynamicCursorFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinFormulaBuilderFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderRawRefinementFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCookLevinBuilderPolynomialReductionFormalized", "expected": true }, { "kind": "milestone-earned", "id": "concrete-cook-levin-complete-builder" }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilderMachine_accept", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilderMachine_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilder_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.formulaBuilder_rawRefinement_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.polynomialReduction_output", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cook_levin_formula_builder_checked_complete", "expectedPresent": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-10-230", "loadBearingRationale": "One finite source-derived machine now constructs the complete original canonical Cook-Levin formula for every raw input, including empty and odd lengths, with total polynomial runtime and encoded-output-size bounds and exact recursive raw refinement. The compiled PolynomialReduction uses the original formula semantics without a supplied trace or correctness certificate. This retires the full builder dependency, not another prefix or finite fixture.", "remainingTrackLimitations": "The separate named concrete NP-hardness or NP-completeness transport remains open. The reduction is not a deterministic SAT algorithm and does not close residual minimization, unconditional ZeroSlack, complete polynomial PCCMin or the eligible root theorem.", "oldAndNewTotal": { "old": 35, "new": 38 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "Retain the existing 20-to-40-percent range. The all-input builder retires its fixed three-point obligation, but the unconditional residual core, polynomial PCCMin construction, deterministic SAT theorem and root gate still dominate unresolved mathematical risk." } } ], "rationale": "M230 completes the all-input finite-machine Cook–Levin formula builder and exact polynomial reduction to CNFSAT. Its ordinary output is the original canonical formula, with complete runtime and encoded-output bounds in the original input length. This closes only the fixed complete-builder checkpoint; deterministic SAT, unconditional ZeroSlack, full polynomial PCCMin and the eligible root theorem remain open. Formal artefact coverage: 206 of 208 current scoped publication rows earned. Risk-weighted proof completion estimate: 38%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-231", "formalArtefactCoverage": { "earnedRows": 207, "totalRows": 209 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": true, "changedCheckpointIds": [ "reductions-concrete-np-hardness" ], "changeRecords": [ { "checkpointId": "reductions-concrete-np-hardness", "oldStatus": "open", "newStatus": "earned", "compiledEvidence": [ { "kind": "milestone-earned", "id": "concrete-cnf-np-completeness" }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessFormalized", "expected": true }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessAxiomAuditPassed", "expected": true }, { "kind": "status-field", "field": "leanConcreteCNFNPCompletenessAuditedDeclarationCount", "expected": 2 }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cnfSAT_np_hard", "expectedPresent": true }, { "kind": "inventory-declaration", "name": "PNP.Concrete.CookLevin.cnfSAT_np_complete", "expectedPresent": true } ], "sourceCoordinateOrCommit": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-231", "loadBearingRationale": "The complete M230 source-derived polynomial reduction now applies to every concrete NP language through its verifier witness, and existing concrete CNFSAT membership closes the exact NPComplete CNFSAT proposition. This retires the named uniform NP-hardness transport obligation rather than adding a finite instance or supplied-data implication.", "remainingTrackLimitations": "Every fixed checkpoint in the concrete-reductions track is now earned. These reduction results do not supply deterministic CNFSAT in P, unconditional residual minimization or ZeroSlack, complete polynomial PCCMin or the eligible root theorem. The separate final complexity-transport checkpoint remains open and receives no duplicate credit.", "oldAndNewTotal": { "old": 38, "new": 40 }, "uncertaintyRangeDecision": { "lowPercent": 20, "highPercent": 40, "changed": false, "rationale": "Retain the reviewed 20-to-40-percent uncertainty range. Completing uniform concrete NP-hardness earns its fixed two points but does not reduce the unresolved risk in deterministic SAT, the unconditional residual core, polynomial PCCMin or the final root." } } ], "rationale": "M231 proves concrete CNF-SAT NP-hardness and the closed NP-completeness theorem using the complete M230 construction. Only the fixed two-point reductions-concrete-np-hardness checkpoint changes. No final root-transport point or global gate is awarded. Formal artefact coverage: 207 of 209 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-232", "formalArtefactCoverage": { "earnedRows": 208, "totalRows": 210 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M232 proves semantic reflection of computed profile influence, exact role-labelled profile-to-gate dependencies and noninterference for the actual computed saturation in every canonical context. The executable observer and profile model remain supplied, and influence construction enumerates all subsets. This closes a local semantic dependency edge, not input-derived terminal families, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin. No fixed checkpoint or global gate changes. Formal artefact coverage: 208 of 210 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-233", "formalArtefactCoverage": { "earnedRows": 209, "totalRows": 211 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M233 proves structural normalization of arbitrary primitive-record supports, locality with respect to the actual computed saturation, and preservation of retained ambient-profile observations of the complete gate universe. The executable observer and profile model remain supplied, and influence construction enumerates all subsets. The retained-profile premise is necessary. This closes a local semantic dependency edge, not input-derived terminal families, transparent cost, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin. No fixed checkpoint or global gate changes. Formal artefact coverage: 209 of 211 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-234", "formalArtefactCoverage": { "earnedRows": 210, "totalRows": 212 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M234 proves actual saturation replay fidelity, generated event validity, canonical ambient endpoint and cost snapshot agreement, and structural transparency of generated non-gate metadata. The executable observer and profile model remain supplied data; influence and semantic minima use exhaustive finite reference constructions. Metadata cost balance does not establish physical-gate transparency, obligation discharge or complete closure safety, as checked counterexamples demonstrate. No input-derived terminal family, global route coverage, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin construction is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 210 of 212 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-235", "formalArtefactCoverage": { "earnedRows": 211, "totalRows": 213 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M235 derives fresh generated contexts, exact physical support charges, active dependency ownership, and the first physical ownership/minimum obstruction at canonical saturation. The executable observer and profile model remain supplied data; influence and semantic minima use exhaustive finite reference constructions. Active ownership is not uniqueness, and exact physical support growth does not establish full-minimum growth, a quotient bound, obligation discharge, complete closure safety or a global named route. No input-derived terminal family, global route coverage, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin construction is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 211 of 213 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-236", "formalArtefactCoverage": { "earnedRows": 212, "totalRows": 214 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M236 derives a duplicate-free and complete physical-NAND charge partition directly from normalized seeds and the actual saturation trace, with verified introduction provenance, an exact lookup specification and total support-size accounting. Introduction provenance can depend on the seed and traversal; it is not the fixed manuscript-wide ownership map or the complete materializer/profile charge universe. Active requesting pairs are not assigned manuscript owners. The observer and profile model remain supplied data, while influence and semantic minima use exhaustive finite reference constructions. No full-minimum growth, global route coverage, input-derived terminal family, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin runtime and certificate bounds is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 212 of 214 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-11-237", "formalArtefactCoverage": { "earnedRows": 213, "totalRows": 215 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M237 derives a computed physical replacement frame for every production saturated support, including its primary-input boundary, exact selected/complement gate partition, whole Boolean reconstruction, arbitrary equivalent replacement transport and physical residual-slack bound. These are physical Boolean laws, not arbitrary raw-support serializability or full-profile compatibility. The complete profile/materializer charge universe, fixed global ownership map and full-profile replacement transport remain open. The observer and profile model remain supplied data, while influence and semantic minima use exhaustive finite reference constructions. No full-minimum growth, global route coverage, input-derived complete terminal family, unconditional SaturatePositive, BCELReady or ZeroSlack, or complete polynomial PCCMin runtime and certificate bounds is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 213 of 215 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-238", "formalArtefactCoverage": { "earnedRows": 214, "totalRows": 216 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M238 computes the reference-minimum whole replacement for every production saturated physical support and proves exact physical size and slack descent. Its total optional gain step uses the actual candidate-derived proper-positive search and returns a smaller equivalent whole circuit on success, while failure excludes exactly canonical proper positive supports rather than proving global minimality. The executable regressions retain rich output and bypass coverage on fixed-seed replacement and use a smaller circuit for the complete exhaustive search; the arbitrary-dimension theorem statements are unchanged. These are physical Boolean laws, not full-profile compatibility, global materializer ownership, obligation transport or a complete named route. The observer remains supplied and influence, seed search and reference minima remain exhaustive. No input-derived complete terminal family, full-minimum growth, global rank-decreasing route coverage, unconditional SaturatePositive, BCELReady or ZeroSlack, complete polynomial PCCMin or deterministic SAT theorem is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 214 of 216 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-239", "formalArtefactCoverage": { "earnedRows": 215, "totalRows": 217 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M239 computes the full-mode acceptance boundary for the actual production physical gain. It checks every profile coordinate, returns the first mismatch with its agreeing prefix, or constructs a full-carrier realization and proves exact full-profile slack descent using invariance of the full-profile minimum. The seven general theorem statements and axiom closures are kernel checked; one expensive semantic-observer fixture is a guarded runtime execution test, not theorem authority. These are accepted-result laws for a supplied executable profile model, not a proof that every physical gain is full-profile compatible. The observer remains supplied and influence, seed search and reference minima remain exhaustive. Complete materializer ownership, full-minimum growth, faithful carrier derivation, terminal families and global rank-decreasing routes remain open. No unconditional SaturatePositive, BCELReady or ZeroSlack, complete polynomial PCCMin or deterministic SAT theorem is earned. No fixed checkpoint or global gate changes. Formal artefact coverage: 215 of 217 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-240", "formalArtefactCoverage": { "earnedRows": 216, "totalRows": 218 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M240 proves exact physical semantic-minimum growth for an arbitrary original circuit with an arbitrary bank of independently computed fresh-input NAND outputs, via derived gate selection and exact erasure plus the attained-witness upper bound. This retires a genuine forced-cost subcase, not complete materializer/profile transparency, global ownership, terminal-family derivation, global routes, unconditional SaturatePositive/BCELReady/ZeroSlack or polynomial PCCMin. No fixed weighted checkpoint or global gate changes; the evidence row changes coverage only. Formal artefact coverage: 216 of 218 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-241", "formalArtefactCoverage": { "earnedRows": 217, "totalRows": 219 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M241 proves a general support-independent physical charge partition with computed first-requester ownership, a fixed remainder, actual extracted NAND materializers and an exact whole-support integer cost identity. Overlaps and unrequested gates are covered without supplied partition proofs or weights. This is not complete admissible materializer ownership: the raw request family remains supplied data, and canonical assignment does not discharge the production unique-active-owner, frontier or obligation conditions. No fixed weighted checkpoint or global gate changes. The evidence row changes coverage only. Formal artefact coverage: 217 of 219 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-242", "formalArtefactCoverage": { "earnedRows": 218, "totalRows": 220 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M242 constructs a general whole-program NAND-sharing stage rather than taking a supplied normalizer: every alias and reuse decision is computed, with exact physical gate savings and residual-slack accounting. This closes the structural-sharing input edge of the existing normalization/oracle composition only. A no-fold branch is not semantic minimality or ZeroSlack; complete N1-N10 normalization, full-profile rewrite transport, the total oracle and uniformly encoded-size polynomial construction remain open. No fixed weighted checkpoint or global gate changes. The evidence row changes coverage only.Formal artefact coverage: 218 of 220 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-243", "formalArtefactCoverage": { "earnedRows": 219, "totalRows": 221 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M243 strengthens the existing active conditional final-report bridge by consuming M231's checked all-input concrete SAT NP-completeness and removing the supplied SAT-hardness parameter. It does not construct the complete proof-bearing PCCMin loop or its residual-band polynomial decider. The explicit loop-existence antecedent remains open. M231 hardness was already credited and receives no duplicate points. The standard Classical.choice dependency comes from that previously reviewed M231 theorem, not a new project axiom. No fixed weighted checkpoint or global gate changes; the evidence row changes coverage only.Formal artefact coverage: 219 of 221 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-244", "formalArtefactCoverage": { "earnedRows": 220, "totalRows": 222 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M244 adds a general computed physical output-cone pruning stage: actual output seeds and program predecessors determine the least closed gate support, checked extraction preserves the original complete I/O semantics, and deleted physical gates give exact slack savings. A no-deletion branch is not semantic minimality or ZeroSlack; arbitrary full-profile observations are not claimed preserved. The physical component does not derive global families, a complete proper Package E ledger, global routing or polynomial PCCMin. No fixed weighted checkpoint or global gate changes. This evidence row changes coverage only; the risk-weighted estimate remains 40% with 20% to 40% uncertainty.Formal artefact coverage: 220 of 222 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-245", "formalArtefactCoverage": { "earnedRows": 221, "totalRows": 223 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M245 adds a general computed dead-support replacement context: the actual unused-gate complement has no outgoing ports, the live frontier computes its incoming values, the extracted support is preserved exactly, and a concrete frame performs a checked zero-gate replacement with exact size and slack accounting. Only a nonempty proper physical support is accepted; all-unused circuits are excluded from that witness. This is not complete manuscript full-profile Package E admissibility, a complete rewrite ledger, global routing or polynomial PCCMin. No fixed weighted checkpoint or global gate changes. This evidence row changes coverage only; the risk-weighted estimate remains 40% with 20% to 40% uncertainty.Formal artefact coverage: 221 of 223 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-246", "formalArtefactCoverage": { "earnedRows": 222, "totalRows": 224 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M246 checks the actual computed proper dead-support replacement against every input finite-profile coordinate and observed obligation role. It constructs a full-carrier result only when all coordinates agree and all observed obligations are closed, otherwise retaining a precise rejecting outcome and canonical first-failure prefix. The observation system remains input data: no manuscript carrier or R5/R6-R8 obligation ledger is derived. No global family, complete route coverage, full PCCMin algorithm or encoded-size polynomial observer/runtime theorem is supplied. No fixed weighted checkpoint or global gate changes. This evidence row changes coverage only; the risk-weighted estimate remains 40% with 20% to 40% uncertainty. Formal artefact coverage: 222 of 224 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-247", "formalArtefactCoverage": { "earnedRows": 223, "totalRows": 225 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M247 constructs the physical literal-constant structural-congruence pass over every finite NAND program. Actual source aliases propagate earlier constants, preserve every ordered output and account exactly for retained gates, eliminations and residual-slack descent. The no-elimination branch is not semantic minimality, as a checked correlated-input constant example demonstrates. This does not derive the complete manuscript carrier, obligation ledger, traceable normalization, total PCCMin oracle or an encoded-size polynomial runtime theorem. No fixed weighted checkpoint or global gate changes. This evidence row changes coverage only; the risk-weighted estimate remains 40% with 20% to 40% uncertainty. Formal artefact coverage: 223 of 225 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-248", "formalArtefactCoverage": { "earnedRows": 224, "totalRows": 226 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M248 constructs a total priority-respecting loop over the actual constant-propagation, sharing and output-cone-pruning passes. It derives a finite strict-gain trace, complete output equivalence, exact savings and common operational quiescence, including idempotent re-execution and a gate-saving iteration bound. Quiescence for these three passes is not semantic minimality, as a checked smaller equivalent constant word demonstrates. The arbitrary-support transport, full-profile carrier, obligation lifecycle, complete manuscript normalization, total PCCMin oracle and encoded-size polynomial runtime obligations remain open. No fixed weighted checkpoint or global gate changes. This evidence row changes coverage only; the risk-weighted estimate remains 40% with 20% to 40% uncertainty.Formal artefact coverage: 224 of 226 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-249", "formalArtefactCoverage": { "earnedRows": 225, "totalRows": 227 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M249 closes the physical arbitrary-support substitution and topological well-formedness edge from the pinned manuscript's section 2 Compatible replacement and section 5 N1. The literal graph and its order are computed from actual data, successful replacement semantics and physical savings are general, and production saturation supplies acyclicity without a caller proof. Cyclic raw splices are rejected even when their open functions agree. This does not derive the full carrier, complete Package E, global ZeroSlack or the exact polynomial PCCMin algorithm. No fixed load-bearing checkpoint changes state, so all checkpoint weights, earned statuses and the proof estimate remain unchanged. Formal artefact coverage: 225 of 227 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-250", "formalArtefactCoverage": { "earnedRows": 226, "totalRows": 228 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M250 reconstructs the computational-value preservation edge in the pinned manuscript's sections 2, 4 and 5. Required internal field wires are explicit observations, so actual physical normalization and successful literal replacement preserve them without arbitrary observers or extra gate charges. This is not the derivation of the full carrier, noncomputational record histories, R5/R6-R8 obligation calculus, complete Package E, unconditional global ZeroSlack or exact polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, earned checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 226 of 228 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-251", "formalArtefactCoverage": { "earnedRows": 227, "totalRows": 229 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M251 reconstructs the computational lost-wire restoration edge in the pinned manuscript's section 4 touch-to-charge and unique materializer rules, section 5 full/quotient firewall and section 6.1 R5/full-R8 requirements. The actual program restores every field and pays the complete shared materializer; the mask-derived event sequence carries full-value witnesses and globally unique creation IDs. This does not complete the manuscript carrier, R6/R7 and general dependency-DAG calculus, Package E, global ZeroSlack or exact polynomial PCCMin. The output gate-count bound is not a total encoded-size polynomial execution theorem. No fixed load-bearing checkpoint changes state; weights, earned checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 227 of 229 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-252", "formalArtefactCoverage": { "earnedRows": 228, "totalRows": 230 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M252 reconstructs the word-level local quotient replacement edge of the pinned manuscript's compatible-replacement, matched materializer accounting and full/quotient firewall. It derives actual expanded full-value sources and charges the shared materializer identically on both lifted words. The exact original-cost test and the checked no-net-gain example prevent cancellation against a larger lifted reference from being misreported as an original-circuit saving. This does not supply arbitrary-support embedding, derive the mask or local quotient agreement, complete the obligation calculus or Package E, close global ZeroSlack or prove polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, earned checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 228 of 230 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-12-253", "formalArtefactCoverage": { "earnedRows": 229, "totalRows": 231 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M253 reconstructs the original-circuit matched-cost edge of the pinned manuscript's compatible extraction, unique physical ownership, full-frontier replacement and strict proper-support obligations. Unlike the larger reference lift in M252, it derives an original gate partition and retains each exterior gate once. Its complete local open-function premise explicitly includes forgotten retained frontier wires; the kernel-checked wrong-frontier fixture rules out substituting quotient-only agreement. The proper-gain query rejects whole-support and non-strict replacements. This is one computed computational predecessor cone, not every arbitrary support across the full carrier and all traces; the obligation calculus, Package E, global ZeroSlack and polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, earned checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 229 of 231 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-254", "formalArtefactCoverage": { "earnedRows": 230, "totalRows": 232 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M254 reconstructs the pinned manuscript's full-mode R6 dependency for an actual retained original wire, paired with computed R8 restoration for every unmatched forgotten field. The all-valuation full witness follows from original source identity and the precise local quotient agreement, not masked padding. Actual expanded sources, one remaining materializer and whole-transcript unique obligation identities are checked. This is a bounded computational cancellation component; arbitrary semantic cancellations, R7 and dependency DAGs, the full carrier, all-trace normalization, complete Package E, global ZeroSlack and polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 230 of 232 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-255", "formalArtefactCoverage": { "earnedRows": 231, "totalRows": 233 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M255 reconstructs the pinned manuscript's unary R7 realization component directly from each original computational carrier. The actual two unary values determine a complete word with one shared NOT gate only when required; the lower bound compares every equivalent full carrier rather than only ordinary outputs. Source-exact full R7 discharges and a complete whole-word strict-gain query require no supplied replacement, truth table, agreement or minimizer. Arbitrary ambient cuts, the full carrier and obligation DAGs, all-trace normalization, complete Package E, global ZeroSlack and polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 231 of 233 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-256", "formalArtefactCoverage": { "earnedRows": 232, "totalRows": 234 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M256 reconstructs the pinned manuscript's constant/unary R7 frontier step by joining the source-derived complete frontier with an actual minimum local word, then deriving successful expansion into the original exterior. Complete open-function equality, every full field value, exact physical charge and source-bound R7 discharge are proved rather than supplied. Proper-support gain requires both a positive original exterior and strict local saving. This closes a named dependency from M253 and M255, not every arbitrary ambient cut, the full carrier and obligation DAGs, all-trace normalization, complete Package E, global ZeroSlack or polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 232 of 234 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-257", "formalArtefactCoverage": { "earnedRows": 233, "totalRows": 235 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M257 reconstructs the pinned manuscript's constant/unary R7 realization on arbitrary completed computational supports. It removes the primary-boundary predecessor-cone restriction by proving open prefix causality and deriving an acyclic rebound rank for the actual minimum word, including a sole external boundary gate. Compiler success, all ordinary outputs and full computational fields, exact physical charge and source-exact R7 discharge are derived from the source rather than supplied. Proper gain still requires positive exterior and strict local saving. This closes the named M249/M256 compilation dependency, not arbitrary boundary width, the full carrier and obligation DAG calculus, all-trace normalization, complete Package E, global ZeroSlack or polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 233 of 235 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-258", "formalArtefactCoverage": { "earnedRows": 234, "totalRows": 236 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M258 closes the pinned manuscript section 6.1 support-discovery edge for proper zero/unary computational R7 gains. It derives a bounded maximal-and-singleton candidate family from actual gate sources and proves completeness for every eligible arbitrary physical support and any strictly smaller equivalent complete local word. The executable carrier-only search, actual full-field expansion, strict fully paid charge and scoped negative-result theorem are kernel checked. Candidate-count and record-count bounds do not retire the complete encoded-size construction and runtime obligations; inherited physical extraction has independent costs. This is a substantial general computational capability, not the full terminal-derived manuscript family, every boundary width, the obligation DAG calculus, all-trace normalization, complete Package E, global ZeroSlack or exact polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 234 of 236 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-259", "formalArtefactCoverage": { "earnedRows": 235, "totalRows": 237 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M259 closes the pinned manuscript whole-span descent and NormalizeOrGain restart edge for the computational zero/unary support class. The carrier-only procedure derives the whole-span branch, combines it with complete proper-support discovery, performs actual full-field-preserving gain expansions and restarts physical normalization until both branches and the physical passes are quiescent. The general closure, exact savings, idempotence, scoped negative result and residual-slack accounting are kernel checked without a supplied family, trajectory or completeness certificate. A guarded counterexample proves that this common fixed point need not be globally minimal. These results do not retire arbitrary-boundary or obligation-DAG completeness, full-carrier normalization, unconditional ZeroSlack, exact general PCCMin or total encoded-size polynomial execution. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 235 of 237 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-13-260", "formalArtefactCoverage": { "earnedRows": 236, "totalRows": 238 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M260 closes the unused-primary-input enumeration dependency in the pinned manuscript physical boundary construction. The active extractor derives its complete ordered boundary from actual gate-source occurrences, with exact reference-list equality and twice-gate-count occurrence and boundary bounds for arbitrary finite dimensions. Existing physical extraction and support theorem interfaces are preserved without a supplied boundary or completeness certificate. These are structural size bounds, not a total encoded-input-size polynomial execution theorem. This does not retire the full manuscript carrier, arbitrary obligation-DAG completeness, unconditional ZeroSlack, exact general PCCMin or complete runtime and certificate bounds. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 236 of 238 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-14-261", "formalArtefactCoverage": { "earnedRows": 237, "totalRows": 239 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M261 closes the context-aware Boolean transport dependency for the pinned manuscript support square: ordinary selected-gate inclusion derives a computed boundary substitution for every larger open-boundary valuation, with identity, composition and two-path equality. Retained outputs agree for the original extraction, arbitrary valid realizations and actual canonical full and quotient local minima. This does not equate arbitrary observers, physically glue local minima, derive charge or obligation ownership, complete the manuscript dependency DAG or establish global routing, unconditional ZeroSlack, exact general PCCMin or complete polynomial bounds. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 237 of 239 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-14-262", "formalArtefactCoverage": { "earnedRows": 238, "totalRows": 240 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M262 closes the source-derived causal physical expansion prerequisite at arbitrary computational-support and incoming-boundary widths. A computed rank proves total compilation, complete local open-function agreement yields all-open mask and full-field semantics, and every actual exterior/copy gate is uniquely owned and charged. Strict original-size saving is equivalent to K * R < S, not merely R < S; properness remains separate. Existing R5 bindings retain their original full source values. This does not prove matched-kappa Pull/Expand, arbitrary observers or profiles, the complete obligation calculus and Package E, global routing, unconditional ZeroSlack, exact general PCCMin or complete encoded polynomial bounds. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the 40% proof estimate and 20% to 40% uncertainty remain unchanged. Formal artefact coverage: 238 of 240 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-15-263", "formalArtefactCoverage": { "earnedRows": 239, "totalRows": 241 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M263 closes the computed dependency-ordered physical history prerequisite for arbitrary finite raw events. The constructor validates identities and references, executes the actual evolving carrier, retains creation snapshots, requires strictly later full-value discharges and charges every appended materializer. Final physical gate balance is exact. Acyclicity is not semantic admissibility or confluence. This remains one computational R5/R6/R8 history component, not all manuscript rewrite and normalization families, noncomputational records, matched-kappa Pull/Expand, complete Package E, input-derived terminal families, global routes, unconditional ZeroSlack or full polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, the proof estimate and uncertainty remain unchanged. Formal artefact coverage: 239 of 241 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-15-264", "formalArtefactCoverage": { "earnedRows": 240, "totalRows": 242 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M264 closes the source-derived causal link from actual extraction and closed R5/R6/R8 histories to literal one-copy arbitrary-support replacement. Current and captured-snapshot bounds imply a decreasing graph rank, complete literal compilation, all ordered output semantics and the full removal/materializer-charge equation. The support and history are still input data, not an input-derived terminal family or globally successful rewrite strategy. Full manuscript rule families, Package E, global routes, unconditional SaturatePositive/BCELReady/ZeroSlack and complete polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 240 of 242 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-16-265", "formalArtefactCoverage": { "earnedRows": 241, "totalRows": 243 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M265 closes the computed zero/unary R7 edge in raw computational histories. All support coordinates are decoded against the identified creation snapshot, and exact boundary recognition selects the actual source-derived realization. Full-field discharge, actual materializer charges, pending-snapshot bounds, source lifecycle and literal one-copy ambient splicing are kernel checked. Supports and histories remain input data, not derived terminal families or a globally successful rewrite strategy. Full manuscript R1-R9/N1-N10, observer/profile compatibility, complete Package E, global routes, unconditional SaturatePositive/BCELReady/ZeroSlack and complete polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 241 of 243 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-16-266", "formalArtefactCoverage": { "earnedRows": 242, "totalRows": 244 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M266 derives physical ownership from the literal computational history and ambient splice. Actual normalizer origins, executing-event allocation labels, exact live/removed/historical-charge partitions, the compiler-position inverse and one-copy exterior transport are kernel checked. Derived disjoint event requests reuse the existing ownership kernel for support-stable membership, extracted piece sizes and exact charges without supplied ownership or partition proofs. Removing an allocated gate does not erase its historical charge. Supports and raw events remain inputs, not terminal-derived families or a globally successful history. The complete manuscript carrier/profile universe, remaining rule families, full Package E, global routes, unconditional SaturatePositive/BCELReady/ZeroSlack and complete polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 242 of 244 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-16-267", "formalArtefactCoverage": { "earnedRows": 243, "totalRows": 245 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M267 derives persistent physical ownership through arbitrary finite raw stage sequences. Every stage uses the actual preceding descendant, while stage/event/local allocation identities follow literal compiler positions. The arbitrary-program conservation theorem uses actual execution totals, retains historical charges after later removal and derives disjoint support-stable owners from the raw input event family. The complete-program final gain adapter permits intermediate expansion and uses structural semantics rather than an oracle. Each local history remains closed; cross-support open-obligation transport, the full manuscript carrier/profile and rule universe, full ChargeSoundness, complete Package E, global route coverage, terminal-derived families, unconditional SaturatePositive/BCELReady/ZeroSlack and complete polynomial PCCMin remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 243 of 245 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-17-268", "formalArtefactCoverage": { "earnedRows": 244, "totalRows": 246 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M268 verifies source-only proper-support certificates for arbitrary finite computational descendant programs. Execution-derived causal bounds make literal outer compilation total for every accepted complete local run. Exact acceptance requires complete decoding, complete local execution, proper physical support and strict final local saving. All ordinary outputs, literal fields and actual historical costs are preserved; intermediate expansion is allowed. This retires the computational offered-program acceptance edge, not certificate discovery for every nonminimal input, full manuscript profiles and rules, full VerifyDW or Package E, global routing, unconditional ZeroSlack or polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 244 of 246 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-17-269", "formalArtefactCoverage": { "earnedRows": 245, "totalRows": 247 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M269 verifies source-only proper-support certificates for complete mixed computational programs whose ambient obligations can remain open across actual descendant support changes. The computed complete schedule includes intrinsic creation references; the same captured snapshots persist until genuine full-mode discharge, and final closure restores the complete interface. Actual compiler positions determine unique physical ownership and retain all historical allocation charges and removals, including later-deleted allocations. Proper support and strict final saving are checked without supplied correctness, initial state, schedule, snapshots, ownership, costs or splice witnesses. This retires the computational mixed-program lifecycle and accounting edge, not global certificate discovery, full manuscript profiles and rules, full VerifyDW or Package E, unconditional ZeroSlack or polynomial PCCMin. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 245 of 247 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-17-270", "formalArtefactCoverage": { "earnedRows": 246, "totalRows": 248 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M270 reconstructs computational structural reordering with arbitrary descendant-support transport. Actual compiler placement derives canonical boundary, interface and ownership maps; all independent open values, literal replacement sources and ordered outputs are preserved. Both matched signed surcharges are zero, exact local and whole savings agree, and raw dependency, acyclicity and compiler rejection correspond in both directions. An actually accepted compatible descendant splice computes its predecessor without a supplied order or transport witness. This retires the computational reordering component, not full profile semantics, remaining materializer rules, global certificate discovery or an unconditional residual theorem. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 246 of 248 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-17-271", "formalArtefactCoverage": { "earnedRows": 247, "totalRows": 249 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M271 integrates computed structural reordering into complete source-only replacement programs. Literal field wires, exact causal labels and pending snapshots are preserved. Local physical ownership uses the actual backward bijection with no allocation or removal, and the complete ledger retains earlier global identities and charge/removal history. Proper-support verification still requires complete acceptance, a closed final ledger and actual strict saving; invalid tails and reordering without gain receive no certificate. This retires a computational integration edge, not full manuscript profiles, all normalization/materializer rules, global certificate discovery, unconditional residual theorems or polynomial bounds. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 247 of 249 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-18-272", "formalArtefactCoverage": { "earnedRows": 248, "totalRows": 250 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M272 integrates literal computational recoding into complete source-only replacement programs and proper-support verification. The existing raw codec checks both actual circuits and dimensions; computed inverse and syntactic dependency checks cover full fields and arbitrary causal labels. Real additions, deletions and derived encoder/decoder allocation identities remain in the complete historical ledger, and pending snapshots survive until actual restoration. Complete execution, final closure and strict saving remain mandatory. A constructive structural-code completeness theorem supports the existing route. This retires a computational integration edge, not full manuscript profiles, all rules, global discovery, unconditional residual theorems or polynomial bounds. The inverse check remains exhaustive over field valuations. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 248 of 250 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-18-273", "formalArtefactCoverage": { "earnedRows": 249, "totalRows": 251 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M273 constructs and checks the literal input/constant/old-output alias branch of zero-cost exposure for arbitrary finite circuits. Two-way transfer of arbitrary realizations proves exact semantic-minimum and slack preservation, and the source-derived tuple recognizer connects that guarantee to actual computational carrier fields. Refusal is exact only for the syntactic alias class and does not provide a positive route. Kernel-checked counterexamples prevent equating zero new gates with zero semantic cost or unique physical charging with a forced minimum increase. Existing independent-materializer work is reused. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Full profiles, arbitrary materializers, global routes, unconditional residual theorems and polynomial bounds remain open. Formal artefact coverage: 249 of 251 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-19-274", "formalArtefactCoverage": { "earnedRows": 250, "totalRows": 252 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M274 derives full and quotient computational profile semantics from actual wire sources at every valuation, with mandatory ordinary outputs in both modes. Constructed exhaustive minima and attained witnesses prove the exact full-lift boundary, universal cost bounds and conservation of full slack plus projection defect. Nested exposure masks transfer exactly the lost full slack to defect; an attained deficient quotient witness cannot silently become full replacement evidence. Source-derived all-gate fields and checked normalization and splicing connect the model to actual carriers. This closes a general computational comparison/accounting edge, not the full manuscript grammar, canonical terminal-family construction, forced-cost transparency, Package E, global routing or polynomial minimization. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 250 of 252 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-19-275", "formalArtefactCoverage": { "earnedRows": 251, "totalRows": 253 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M275 connects the existing actual shared hidden-wire materializer to wire-profile full and quotient minima. It proves exact paid and normalized overhead and the strict original-size gain boundary without a supplied replacement, minimum, charge or correctness certificate. A kernel-checked positive-slack refusal records the limit of restoration alone; the already complete one-input constructor recovers that example, and its general output/field-width minimum is identified with the current full minimum. This reuses existing construction and unary completeness rather than awarding duplicate progress. Reference minimization remains exhaustive. Complete profile grammar, derived terminal families, forced-cost transparency, global route coverage and polynomial minimization remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 251 of 253 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-19-276", "formalArtefactCoverage": { "earnedRows": 252, "totalRows": 254 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M276 combines the source-derived computational-profile model with an exact independent-field cost family, then proves their general coupling. One uniformly valid actual source is computed for each available field; arbitrary input padding and output rewording preserve the observer, and actual field seeds derive a preserving support. A semantic gate-retraction argument and matching extension prove the exact additional cost for arbitrary old implementations and arbitrary widths of independent fresh NAND fields. This retires those bounded model and cost interfaces, not arbitrary manuscript-field transparency, proper-support discovery, terminal-family derivation, global routing or polynomial minimization. The two prepared components are integrated and reviewed as one milestone rather than separate release cycles. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 252 of 254 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-19-277", "formalArtefactCoverage": { "earnedRows": 253, "totalRows": 255 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M277 derives the computational observations of actual closed supports and proves uniform preservation of requested fields at every corner of a constructed support square. The source table, arbitrary-family union law and profile-seeded construction close that bounded compatibility interface without supplied correctness data. Existing extraction, structural square laws and profile locality are reused, not awarded again. The positive-slack duplicate obstruction is explicitly candidate-level: the existing physical normalizer removes it, so it is not evidence against a normalized-terminal manuscript theorem. Ordinary-output reconstruction, the complete profile grammar, proper-positive support discovery, terminal-derived families, global routing and polynomial minimization remain open. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 253 of 255 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-19-278", "formalArtefactCoverage": { "earnedRows": 254, "totalRows": 256 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M278 connects an actual computed closed support to a full-profile-preserving whole-circuit replacement, with an exact gate saving and exact retirement of whole-carrier full slack. The reference minimum, physical complement, input bindings and field sources are derived rather than supplied as correctness premises. This closes a bounded positive-branch reconstruction dependency, but not proper-positive support discovery, the complete manuscript profile grammar, terminal-derived families, global route coverage or polynomial minimization. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 254 of 256 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-20-279", "formalArtefactCoverage": { "earnedRows": 255, "totalRows": 257 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M279 closes the concrete whole-support compatibility edge between the candidate-derived ambient support minimum and the independent whole-carrier output-and-computational-field minimum. The proof uses actual size-preserving translations in both directions, not a supplied equality or an assumed optimal replacement. The resulting exact whole-span branch still performs exhaustive reference minimization and supplies neither proper-local rewrite discovery nor global route coverage or polynomial bounds. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 255 of 257 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." }, { "kind": "milestone-review", "asOfCoordinate": "PNP-FORMAL-RECONSTRUCTION-STATUS-2026-09-20-280", "formalArtefactCoverage": { "earnedRows": 256, "totalRows": 258 }, "riskWeightedProofCompletionPercent": 40, "uncertaintyLowPercent": 20, "uncertaintyHighPercent": 40, "globalGatesClosed": 0, "globalGatesAvailable": 5, "scoreChanged": false, "changedCheckpointIds": [], "changeRecords": [], "rationale": "M280 derives actual full and quotient comparison circuits for every pair of computed nested completed supports, replacing a supplied cost-balance premise with a physical construction and exact field observations. It closes the completed-support enlargement edge of positive-slack preservation, but not raw-witness completion, manuscript-wide profile semantics, global route completeness or polynomial minimization. No fixed load-bearing checkpoint changes state; weights, checkpoint statuses, proof estimate and uncertainty are unchanged. Formal artefact coverage: 256 of 258 current scoped publication rows earned. Risk-weighted proof completion estimate: 40%. Uncertainty range: 20% to 40%. Global gates closed: 0 of 5." } ], "nonClaims": [ "The risk-weighted score is not the probability that P equals NP or that the proposed route is correct.", "The risk-weighted score is not a delivery or time-remaining estimate.", "Formal artefact coverage is not proof completion and its denominator can grow.", "External review may provide validation evidence but is not a mathematical premise.", "This ledger does not alter any theorem statement or proof authority." ] }