trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Information Cost of Concept Completion

Completion cost is conditional entropy on supported concept fibers, not a global factorization criterion.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Completion cost is conditional entropy

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Equality at the Lower Endpoint of Conditional EntropyEquality at the Lower Endpointof Conditional EntropyEntropy and Capacity under Carrier ForgettingEntropy and Capacity underCarrier ForgettingInformation Cost of Concept CompletionInformation Cost of ConceptCompletionReadout and Completion Law CompatibilityReadout and Completion LawCompatibilityBudget and Efficiency AssemblyBudget and Efficiency AssemblyCanonical Completion Information Chain DecompositionCanonical CompletionInformation Chain Decomposition
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Completion/CompletionInformationCost
Repository path
D5/S3/ConceptDynamics/Completion/CompletionInformationCost.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

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.