trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Adaptive Binary Protocol Depth Lower Bound

Identifying a target by adaptive binary questions requires logarithmic fiber depth.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Binary identification depth is bounded below by fiber diversity

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Binary Repair CostBinary Repair CostAdaptive Binary Protocol Depth Lower BoundAdaptive Binary Protocol DepthLower BoundBinary Identification and Repair Depth EqualityBinary Identification andRepair Depth EqualityAdaptive Depth of Independent Role ProfilesAdaptive Depth of IndependentRole Profiles
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Coding/BinaryProtocolDepthLowerBound
Repository path
D5/S3/ConceptDynamics/Coding/BinaryProtocolDepthLowerBound.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.