trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

LRAT Certificates for Sparse DFAO State Lower Bounds

A kernel-checked LRAT refutation of any certified finite-prefix encoding rules out every globally correct DFAO within the same state budget.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Finite-prefix refutation gives a global bounded-state exclusion

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Certified CNF Semantics for DFA IdentificationCertified CNF Semantics for DFAIdentificationLRAT Refutations and UnsatisfiabilityLRAT Refutations andUnsatisfiabilityLRAT Certificates for Sparse DFAO State Lower BoundsLRAT Certificates for SparseDFAO State Lower BoundsGolden-Ratio DFAO Minimality TargetsGolden-Ratio DFAO MinimalityTargets
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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/LRATDFAStateLowerBound
Repository path
D5/S0/Certificates/LRATDFAStateLowerBound.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.