trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Refinement, Target Risk, and Cost

Refinement shrinks target risk while increasing attained-coordinate cost.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES18
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Refinement reduces risk and raises coordinate cost

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Concept Join Universal PropertyConcept Join Universal PropertyRefinement, Target Risk, and CostRefinement, Target Risk, andCostBudgeted Escape Rate Bounds and AntitonicityBudgeted Escape Rate Bounds andAntitonicityDomain Immunization AuditDomain Immunization AuditMinimum Audit Set CoverMinimum Audit Set CoverTarget-Conditioned Admission AuditTarget-Conditioned AdmissionAuditTranslation Loss under PostprocessingTranslation Loss underPostprocessingKnowledge Along DependencyKnowledge Along DependencyResidual Join LawResidual Join LawDefect Relation Minimum ColoringDefect Relation MinimumColoringProcedural Justice Does Not Guarantee a Correct OutcomeProcedural Justice Does NotGuarantee a Correct OutcomeRedundant Appeal and Defect PersistenceRedundant Appeal and DefectPersistenceComplete History-Sensitive Outcome ReductionComplete History-SensitiveOutcome ReductionIndexed Target-Defect MonotonicityIndexed Target-DefectMonotonicityTarget Recovery CriterionTarget Recovery CriterionLocal-Global Residual and Target ExpressibilityLocal-Global Residual andTarget ExpressibilityRefinement Monotonicity of Target RiskRefinement Monotonicity ofTarget RiskClosure, Method Stop, and Three-Parameter Completion/ReopeningClosure, Method Stop, andThree-ParameterCompletion/ReopeningTransport Licensing and Scope OverreachTransport Licensing and ScopeOverreachModel-Class Transportability CriterionModel-Class TransportabilityCriterion
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/TargetRisk/RefinementRiskCostTradeoff
Repository path
D5/S3/ConceptDynamics/TargetRisk/RefinementRiskCostTradeoff.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.