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ConceptDynamics / CONCEPT

Joint Faithfulness and the Leibniz Criterion

Joint faithfulness is exactly state separation by an indexed concept family, and constant readouts show that the condition is substantive.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES38
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Joint faithfulness, point separation, and diagonal kernels coincide

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Joint Faithfulness and the Leibniz CriterionJoint Faithfulness and theLeibniz CriterionHorizontal Joint KernelHorizontal Joint KernelMinimum Audit Set CoverMinimum Audit Set CoverAdaptive Modular IdentificationAdaptive Modular IdentificationIndexed Common-Source Upper BoundIndexed Common-Source UpperBoundJoint Lossless Communication CriterionJoint Lossless CommunicationCriterionTyped Definition Graph SliceTyped Definition Graph SliceBlind Kernel ObstructionBlind Kernel ObstructionSubfamily Inadequacy PersistenceSubfamily InadequacyPersistenceSubfamily Readout RefinementSubfamily Readout RefinementExperiment IdentifiabilityExperiment IdentifiabilityPassive Adaptive Transcript Upper BoundPassive Adaptive TranscriptUpper BoundFinite Identification Output CapacityFinite Identification OutputCapacityStatic Exact Experiment DesignStatic Exact Experiment DesignCoordinate-Deletion RobustnessCoordinate-Deletion RobustnessFaithful Observation Commutation CriterionFaithful ObservationCommutation CriterionFinite Extraction of a Faithful Observer FamilyFinite Extraction of a FaithfulObserver FamilyLocal-Global Residual CriterionLocal-Global Residual CriterionObserver and Concept Readout CorrespondenceObserver and Concept ReadoutCorrespondenceAdaptive Depth of Independent Role ProfilesAdaptive Depth of IndependentRole ProfilesOracle Intervention-Law Error DetectionOracle Intervention-Law ErrorDetectionComplete Observation Expressibility CriterionComplete ObservationExpressibility CriterionIndexed Readout MonotonicityIndexed Readout MonotonicityIntervention-Family Kernel MonotonicityIntervention-Family KernelMonotonicityIntervention Target FactorizationIntervention TargetFactorizationFixed Observation Dominance AsymmetryFixed Observation DominanceAsymmetryRetained Residue Recovery CriterionRetained Residue RecoveryCriterionIndexed Target SufficiencyIndexed Target SufficiencyMinimal Prediction Belief StateMinimal Prediction Belief StateMinimal Quotient for a Target FamilyMinimal Quotient for a TargetFamilyTask Identity and Global IdentityTask Identity and GlobalIdentitySelected Observation Information Monotonicity, Canonical FormSelected ObservationInformation Monotonicity,Canonical FormBinary Character Profile Rank CardinalityBinary Character Profile RankCardinalityBinary Character Subfamily CriterionBinary Character SubfamilyCriterionMinimum Complete Set CoverMinimum Complete Set CoverWeighted Joint Ultrapseudometric and Zero KernelWeighted JointUltrapseudometric and ZeroKernelIntervention-Family Transcript ObstructionIntervention-Family TranscriptObstructionFinite Realization CertificateFinite Realization CertificateDiagonal Phase BlindnessDiagonal Phase Blindness
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Faithfulness/JointFaithfulnessLeibnizCriterion
Repository path
D5/S3/ConceptDynamics/Faithfulness/JointFaithfulnessLeibnizCriterion.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
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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.