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PPS-06 · Adversarial geometric closure
Projection Possibility Space (PPS)
PPS-06 · Adversarial geometric closure
Neo.K / Aletheia
Adversarial Geometric Closure: Counterexample Generation, Search for Unknown Classes, Stopping Conditions and Finite Geometric Closure
Proposes adversarial geometric closure: search for unknown classes, counter-certificates, a residual-obligation set, honest stopping rules, and a closure-authority ladder (Level 0–5); 'no counterexample found' does not mean 'none exists'.
PPS-06 writes 'closure' as an authority ladder that must survive adversarial search, not a conclusion reached at once. It is an architecture that has not been run.
This paper's ladder (§66: Counterexample-Resistant is L3, below Finite-Branch Certified at L4) is ordered differently from the open-questions list's Part-X ladder; the two have not been reconciled.
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This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.