trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Shortest-Distance Semantics

First-mismatch distance exactly measures future separation and stable depth.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH12
DOCUMENT LINKS1
THEOREM

First separation determines distance and stable depth

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Finite History StabilityFinite History StabilityLocal Prediction Certificate MinimalityLocal Prediction CertificateMinimalityShortest-Distance SemanticsShortest-Distance SemanticsSharp Product Completion DepthSharp Product Completion Depth
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
12
Layer
D5/S3
Domain
ObserverMemory
Node ID
D5/S3/ObserverMemory/PredictionCertificates/ShortestDistanceSemantics
Repository path
D5/S3/ObserverMemory/PredictionCertificates/ShortestDistanceSemantics.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.