trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Causal State Factorization

Predictively sufficient interfaces uniquely factor onto the causal-state image.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Predictive sufficiency induces the unique causal-state factor

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Inductive SufficiencyInductive SufficiencyCausal State FactorizationCausal State FactorizationMinimal Prediction Belief StateMinimal Prediction Belief StateConditional Probability Profile MinimalityConditional Probability ProfileMinimalityPredictive State Universal MinimalityPredictive State UniversalMinimalityCanonical Minimal RealizationCanonical Minimal Realization
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
ObserverMemory
Node ID
D5/S3/ObserverMemory/PredictionFactors/CausalStateFactorization
Repository path
D5/S3/ObserverMemory/PredictionFactors/CausalStateFactorization.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.