Estimation / CONCEPT
Four-state obstruction to the coefficient-two reverse bound
A four-state CAR pair has equal pair collisions and directed deficiencies 1/9 and 5/18; an actual common public partition seed preserves the counterexample after halving.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS1
A complete certificate refutes the proposed reverse inequality
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Approximate CAR recoverystructural-affinity · Closed
- Asymmetric Family Risk and Injective Queriesstructural-affinity · Closed
- Exact CAR revelation scalingstructural-affinity · Closed
- Finite Bayes-Risk Dominance Criterionstructural-affinity · Closed
- Finite Deficiency Risk Transferstructural-affinity · Closed
- Finite Deficiency Trianglestructural-affinity · Closed
- Signed reverse deficiency for three-state CAR profilesstructural-affinity · Closed
- Uniform CAR reverse obstructionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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