trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Counted edges and overlap conjugacy

A nonnegative matrix records numbered parallel edges. Lexicographic fiber ranks split and reassemble each product edge.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES8
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Recover both numbered half-edges

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Bipartite overlap conjugacyBipartite overlap conjugacyCounted edges and overlap conjugacyCounted edges and overlapconjugacyCounted-edge ray images and intrinsic endpoint multiplicitiesCounted-edge ray images andintrinsic endpointmultiplicitiesCounted matrix chains and bounded-window codesCounted matrix chains andbounded-window codesFinite order types of counted cyclic wordsFinite order types of countedcyclic wordsFirst response diamondFirst response diamondExact numbered positive recoding and inverse time signsExact numbered positiverecoding and inverse time signsCentered response histories and their numbered edgesCentered response histories andtheir numbered edgesResponse quotient kernelsResponse quotient kernelsFinite two-sided state-splitting inductionFinite two-sided state-splitting induction
Proof dependencyStructural affinityDocument link

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Coding/CountedMatrixOverlap
Repository path
D5/S3/ConceptDynamics/Coding/CountedMatrixOverlap.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.