trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Concept Entropy under Refinement

Refinement increases concept information and decreases residual entropy.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH7
DOCUMENT LINKS1
THEOREM

Refinement increases information and decreases residual entropy

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Direct recorded relationships
Concept Join Universal PropertyConcept Join Universal PropertyEquality and Strict Loss under Deterministic ForgettingEquality and Strict Loss underDeterministic ForgettingConcept Entropy under RefinementConcept Entropy underRefinementEqual Entropy, Different Target ValueEqual Entropy, Different TargetValueShared Source Observation DependenceShared Source ObservationDependenceCanonical Completion Information Chain DecompositionCanonical CompletionInformation Chain DecompositionDeterministic Readout Entropy DecompositionDeterministic Readout EntropyDecomposition
Proof dependencyStructural affinityDocument link

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Information/RefinementEntropyMonotonicity
Repository path
D5/S3/ConceptDynamics/Information/RefinementEntropyMonotonicity.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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