trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Minimum Complete Set Cover

Finite observer completeness is exactly coverage of all distinct ordered state pairs; minimum complete budgets are the corresponding natural-cost set covers.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Finite-budget injectivity is separation coverage

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Direct recorded relationships
Joint Faithfulness and the Leibniz CriterionJoint Faithfulness and theLeibniz CriterionMinimum Complete Set CoverMinimum Complete Set CoverPrime-Time Cover EquivalencePrime-Time Cover EquivalenceFinite Pairwise Global ClassifierFinite Pairwise GlobalClassifier
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Budget/MinimumCompleteSetCover
Repository path
D5/S3/Observer/Budget/MinimumCompleteSetCover.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.