Semantic Target-Laundering Bundle Elimination

Abstract

Body-level semantic target laundering eliminates its coordinate witness bundle.

Theorem 1.1 (Body-level laundering is characterized by protected-coordinate inequality).

$$\begin{array}{c}\forall Commitment,Evidence,Verdict,Time,TargetChain,Domain,Epsilon,Condition,Comparator,Baseline,WeightSpec,Report:\mathrm{Type},\\ [\mathrm{LT}\left(Time\right)],[\mathrm{DecidableEq}\left(TargetChain\right)],[\mathrm{DecidableEq}\left(Domain\right)],[\mathrm{DecidableEq}\left(Epsilon\right)],\\ [\mathrm{DecidableEq}\left(Condition\right)],[\mathrm{DecidableEq}\left(Comparator\right)],[\mathrm{DecidableEq}\left(Baseline\right)],[\mathrm{DecidableEq}\left(WeightSpec\right)],\\ S:\mathrm{RegradeSemantics}\left(Commitment,Evidence,Verdict,Time,\mathrm{ProtectedCoordinates}\left(TargetChain,Domain,Epsilon,Condition,Comparator,Baseline,WeightSpec\right),Report\right),\\ oldK,newK:Commitment,Z:Evidence,regrade:\mathrm{SemanticRegrade}\left(S\right),\\ \mathrm{SemanticTargetLaunderingAt}\left(S,oldK,newK,Z,regrade\right)⟺\\ \mathrm{SemanticRegradeAt}\left(regrade,oldK,newK,Z\right)\wedge \\ \mathrm{PostArrivalSemanticRegrade}\left(S,regrade\right)\wedge \\ S.reportAttributedTo(regrade.report)=oldK\wedge \\ S.protected(oldK)\ne S.protected(newK).\end{array}$$

Proof. Machine-checked in Lean as D5/S3/ConceptDynamics/DefinitionEscapeRegrade/SemanticTargetLaunderingBundleElimination.semantic_target_laundering_iff_protected_coordinates_ne (✓ std3). ∎

Source. Repository-derived.

Commentary.

The semantic frame reads protected coordinates, evaluations, timing, and report fields from existing carriers. SemanticTargetLaunderingAt retains report identity, strict post-arrival timing, attribution to the original commitment, and a closed nonempty coordinate witness bundle.

The frozen coordinate-bundle characterization replaces only that final bundle with inequality of the complete protected-coordinate records. No report condition, timing condition, or attribution condition is removed, and neither verdict change nor a report-timestamp equality is assumed.

This discharges obligation 57.2-C from definition-escape-completion-theory atom generic-residual-c42f6cc861bde491da258e3f06a84362929990f099ec729da096b9d25774bb1b.

References

• Truth anchor: D5/S3/ConceptDynamics/DefinitionEscapeRegrade/SemanticTargetLaunderingBundleElimination.semantic_target_laundering_iff_protected_coordinates_ne
• Dependency: D5/S3/ConceptDynamics/DefinitionEscapeRegrade/CoordinateWitnessBundle