trureturingGitHub MATHEMATICAL ATLAS

Entropy / CONCEPT

Predictive Memory under Deterministic Refinement

Predictive memory decomposes exactly across a finer deterministic readout.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Deterministic refinement gives an exact nonnegative information gain

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Entropy and Capacity under Carrier ForgettingEntropy and Capacity underCarrier ForgettingMutual-Information Chain RuleMutual-Information Chain RulePredictive Memory under Deterministic RefinementPredictive Memory underDeterministic RefinementBudget and Efficiency AssemblyBudget and Efficiency AssemblyPredictive Memory MonotonicityPredictive Memory Monotonicity
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Entropy
Node ID
D5/S3/Entropy/Submodularity/RefinementInformationDecomposition
Repository path
D5/S3/Entropy/Submodularity/RefinementInformationDecomposition.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.