trureturingGitHub MATHEMATICAL ATLAS

Automata / CONCEPT

Prefix Coloring Soundness

Every DFAO compatible with a labeled prefix graph induces a transition- and output-consistent state coloring.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Uncolorability excludes compatible machines

RELATIONSHIP ATLAS

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Direct recorded relationships
DFAO State Lower BoundsDFAO State Lower BoundsPrefix Coloring SoundnessPrefix Coloring Soundness
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

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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.