trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Graded Prediction Shift

Consecutive finite prediction quotients carry a graded shift that closes after stabilization.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

The graded shift closes on a stabilized quotient

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Prediction Partition StabilityPrediction Partition StabilityPredictive Completion under Observation RefinementPredictive Completion underObservation RefinementGraded Prediction ShiftGraded Prediction ShiftObservation-Word and Completion Information DecompositionObservation-Word and CompletionInformation DecompositionFinite Observation Refinement BoundFinite Observation RefinementBoundLeast Invariant Observable AlgebraLeast Invariant ObservableAlgebra
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
ObserverMemory
Node ID
D5/S3/ObserverMemory/Refinement/GradedPredictionShift
Repository path
D5/S3/ObserverMemory/Refinement/GradedPredictionShift.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.