FA-44451 / Data systems / Open access
A null list exposes its physically retained child values · case 01
A null list exposes its physically retained child values.
ROOT CAUSE
list-offset-slice: A null list exposes its physically retained child values.
VERIFIED REPAIR
Preserve the stated physical representation and operation order: Gather selected list rows from offset-based child storage. Parent nullness hides child storage; empty valid lists remain []; child nulls remain None. Preserve repeated selected rows and list element order.
Unsuccessful approach: Replacing null lists with empty lists confuses absence with cardinality zero.
Case contract
Gather selected list rows from offset-based child storage. Parent nullness hides child storage; empty valid lists remain []; child nulls remain None. Preserve repeated selected rows and list element order.
Why this case matters
A bounded deterministic data engine model makes representation and changelog faults reproducible.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(d):
try:
offsets,child,parents,valid,selection=d
out=[]
for row in selection:
lo=offsets[row]
hi=offsets[row+1]
items=[child[i] if valid[i] else None for i in range(lo,hi)]
out.append(items)
return out
except (IndexError, KeyError, ValueError, StopIteration) as exc:
return {"representation_error": type(exc).__name__}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('shared child offsets', solve([[0, 2, 3], [1, 2, 3], [True, True], [True, True, True], [1, 0]]), [[3], [1, 2]])
check('null child', solve([[0, 2], [1, 2], [True], [False, True], [0]]), [[None, 2]])
check('hidden null list', solve([[0, 2], [1, 2], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [1], [True, True], [True], [0, 1]]), [[], [1]])
check('repeated list', solve([[0, 1, 2], [1, 2], [True, True], [True, True], [1, 1]]), [[2], [2]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 1, 2], [True], [True, True, True], [0]]), [[1, 2]])
elif N == 2:
check('shared child offsets', solve([[0, 2, 3], [2, 3, 4], [True, True], [True, True, True], [1, 0]]), [[4], [2, 3]])
check('null child', solve([[0, 2], [2, 3], [True], [False, True], [0]]), [[None, 3]])
check('hidden null list', solve([[0, 2], [2, 3], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [2], [True, True], [True], [0, 1]]), [[], [2]])
check('repeated list', solve([[0, 1, 2], [2, 3], [True, True], [True, True], [1, 1]]), [[3], [3]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 2, 3], [True], [True, True, True], [0]]), [[2, 3]])
elif N == 3:
check('shared child offsets', solve([[0, 2, 3], [3, 4, 5], [True, True], [True, True, True], [1, 0]]), [[5], [3, 4]])
check('null child', solve([[0, 2], [3, 4], [True], [False, True], [0]]), [[None, 4]])
check('hidden null list', solve([[0, 2], [3, 4], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [3], [True, True], [True], [0, 1]]), [[], [3]])
check('repeated list', solve([[0, 1, 2], [3, 4], [True, True], [True, True], [1, 1]]), [[4], [4]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 3, 4], [True], [True, True, True], [0]]), [[3, 4]])
elif N == 4:
check('shared child offsets', solve([[0, 2, 3], [4, 5, 6], [True, True], [True, True, True], [1, 0]]), [[6], [4, 5]])
check('null child', solve([[0, 2], [4, 5], [True], [False, True], [0]]), [[None, 5]])
check('hidden null list', solve([[0, 2], [4, 5], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [4], [True, True], [True], [0, 1]]), [[], [4]])
check('repeated list', solve([[0, 1, 2], [4, 5], [True, True], [True, True], [1, 1]]), [[5], [5]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 4, 5], [True], [True, True, True], [0]]), [[4, 5]])
elif N == 5:
check('shared child offsets', solve([[0, 2, 3], [5, 6, 7], [True, True], [True, True, True], [1, 0]]), [[7], [5, 6]])
check('null child', solve([[0, 2], [5, 6], [True], [False, True], [0]]), [[None, 6]])
check('hidden null list', solve([[0, 2], [5, 6], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [5], [True, True], [True], [0, 1]]), [[], [5]])
check('repeated list', solve([[0, 1, 2], [5, 6], [True, True], [True, True], [1, 1]]), [[6], [6]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 5, 6], [True], [True, True, True], [0]]), [[5, 6]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| shared child offsets | [[3], [1, 2]] | [[3], [1, 2]] | Passed |
| null child | [[None, 2]] | [[None, 2]] | Passed |
| hidden null list | [[1, 2]] | [None] | Failed |
| empty valid list | [[], [1]] | [[], [1]] | Passed |
| repeated list | [[2], [2]] | [[2], [2]] | Passed |
| no rows | [] | [] | Passed |
| nonzero physical origin | [[1, 2]] | [[1, 2]] | Passed |
SHA-256 / 64aa4b05bce9fd1c39ad3ab14a4f48903534d40da2d0dc7527066d20b6353142
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(d):
try:
offsets,child,parents,valid,selection=d
out=[]
for row in selection:
lo=offsets[row]
hi=offsets[row+1]
items=[child[i] if valid[i] else None for i in range(lo,hi)]
out.append(items if parents[row] else [])
return out
except (IndexError, KeyError, ValueError, StopIteration) as exc:
return {"representation_error": type(exc).__name__}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('shared child offsets', solve([[0, 2, 3], [1, 2, 3], [True, True], [True, True, True], [1, 0]]), [[3], [1, 2]])
check('null child', solve([[0, 2], [1, 2], [True], [False, True], [0]]), [[None, 2]])
check('hidden null list', solve([[0, 2], [1, 2], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [1], [True, True], [True], [0, 1]]), [[], [1]])
check('repeated list', solve([[0, 1, 2], [1, 2], [True, True], [True, True], [1, 1]]), [[2], [2]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 1, 2], [True], [True, True, True], [0]]), [[1, 2]])
elif N == 2:
check('shared child offsets', solve([[0, 2, 3], [2, 3, 4], [True, True], [True, True, True], [1, 0]]), [[4], [2, 3]])
check('null child', solve([[0, 2], [2, 3], [True], [False, True], [0]]), [[None, 3]])
check('hidden null list', solve([[0, 2], [2, 3], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [2], [True, True], [True], [0, 1]]), [[], [2]])
check('repeated list', solve([[0, 1, 2], [2, 3], [True, True], [True, True], [1, 1]]), [[3], [3]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 2, 3], [True], [True, True, True], [0]]), [[2, 3]])
elif N == 3:
check('shared child offsets', solve([[0, 2, 3], [3, 4, 5], [True, True], [True, True, True], [1, 0]]), [[5], [3, 4]])
check('null child', solve([[0, 2], [3, 4], [True], [False, True], [0]]), [[None, 4]])
check('hidden null list', solve([[0, 2], [3, 4], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [3], [True, True], [True], [0, 1]]), [[], [3]])
check('repeated list', solve([[0, 1, 2], [3, 4], [True, True], [True, True], [1, 1]]), [[4], [4]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 3, 4], [True], [True, True, True], [0]]), [[3, 4]])
elif N == 4:
check('shared child offsets', solve([[0, 2, 3], [4, 5, 6], [True, True], [True, True, True], [1, 0]]), [[6], [4, 5]])
check('null child', solve([[0, 2], [4, 5], [True], [False, True], [0]]), [[None, 5]])
check('hidden null list', solve([[0, 2], [4, 5], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [4], [True, True], [True], [0, 1]]), [[], [4]])
check('repeated list', solve([[0, 1, 2], [4, 5], [True, True], [True, True], [1, 1]]), [[5], [5]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 4, 5], [True], [True, True, True], [0]]), [[4, 5]])
elif N == 5:
check('shared child offsets', solve([[0, 2, 3], [5, 6, 7], [True, True], [True, True, True], [1, 0]]), [[7], [5, 6]])
check('null child', solve([[0, 2], [5, 6], [True], [False, True], [0]]), [[None, 6]])
check('hidden null list', solve([[0, 2], [5, 6], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [5], [True, True], [True], [0, 1]]), [[], [5]])
check('repeated list', solve([[0, 1, 2], [5, 6], [True, True], [True, True], [1, 1]]), [[6], [6]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 5, 6], [True], [True, True, True], [0]]), [[5, 6]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| shared child offsets | [[3], [1, 2]] | [[3], [1, 2]] | Passed |
| null child | [[None, 2]] | [[None, 2]] | Passed |
| hidden null list | [[]] | [None] | Failed |
| empty valid list | [[], [1]] | [[], [1]] | Passed |
| repeated list | [[2], [2]] | [[2], [2]] | Passed |
| no rows | [] | [] | Passed |
| nonzero physical origin | [[1, 2]] | [[1, 2]] | Passed |
SHA-256 / 896a7292fadb5363f179268906925045c26b71b68c99c7a30d46ed2de517e338
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(d):
try:
offsets,child,parents,valid,selection=d
out=[]
for row in selection:
lo=offsets[row]
hi=offsets[row+1]
items=[child[i] if valid[i] else None for i in range(lo,hi)]
out.append(items if parents[row] else None)
return out
except (IndexError, KeyError, ValueError, StopIteration) as exc:
return {"representation_error": type(exc).__name__}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('shared child offsets', solve([[0, 2, 3], [1, 2, 3], [True, True], [True, True, True], [1, 0]]), [[3], [1, 2]])
check('null child', solve([[0, 2], [1, 2], [True], [False, True], [0]]), [[None, 2]])
check('hidden null list', solve([[0, 2], [1, 2], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [1], [True, True], [True], [0, 1]]), [[], [1]])
check('repeated list', solve([[0, 1, 2], [1, 2], [True, True], [True, True], [1, 1]]), [[2], [2]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 1, 2], [True], [True, True, True], [0]]), [[1, 2]])
elif N == 2:
check('shared child offsets', solve([[0, 2, 3], [2, 3, 4], [True, True], [True, True, True], [1, 0]]), [[4], [2, 3]])
check('null child', solve([[0, 2], [2, 3], [True], [False, True], [0]]), [[None, 3]])
check('hidden null list', solve([[0, 2], [2, 3], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [2], [True, True], [True], [0, 1]]), [[], [2]])
check('repeated list', solve([[0, 1, 2], [2, 3], [True, True], [True, True], [1, 1]]), [[3], [3]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 2, 3], [True], [True, True, True], [0]]), [[2, 3]])
elif N == 3:
check('shared child offsets', solve([[0, 2, 3], [3, 4, 5], [True, True], [True, True, True], [1, 0]]), [[5], [3, 4]])
check('null child', solve([[0, 2], [3, 4], [True], [False, True], [0]]), [[None, 4]])
check('hidden null list', solve([[0, 2], [3, 4], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [3], [True, True], [True], [0, 1]]), [[], [3]])
check('repeated list', solve([[0, 1, 2], [3, 4], [True, True], [True, True], [1, 1]]), [[4], [4]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 3, 4], [True], [True, True, True], [0]]), [[3, 4]])
elif N == 4:
check('shared child offsets', solve([[0, 2, 3], [4, 5, 6], [True, True], [True, True, True], [1, 0]]), [[6], [4, 5]])
check('null child', solve([[0, 2], [4, 5], [True], [False, True], [0]]), [[None, 5]])
check('hidden null list', solve([[0, 2], [4, 5], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [4], [True, True], [True], [0, 1]]), [[], [4]])
check('repeated list', solve([[0, 1, 2], [4, 5], [True, True], [True, True], [1, 1]]), [[5], [5]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 4, 5], [True], [True, True, True], [0]]), [[4, 5]])
elif N == 5:
check('shared child offsets', solve([[0, 2, 3], [5, 6, 7], [True, True], [True, True, True], [1, 0]]), [[7], [5, 6]])
check('null child', solve([[0, 2], [5, 6], [True], [False, True], [0]]), [[None, 6]])
check('hidden null list', solve([[0, 2], [5, 6], [False], [True, True], [0]]), [None])
check('empty valid list', solve([[0, 0, 1], [5], [True, True], [True], [0, 1]]), [[], [5]])
check('repeated list', solve([[0, 1, 2], [5, 6], [True, True], [True, True], [1, 1]]), [[6], [6]])
check('no rows', solve([[0], [], [], [], []]), [])
check('nonzero physical origin', solve([[1, 3], [0, 5, 6], [True], [True, True, True], [0]]), [[5, 6]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| shared child offsets | [[3], [1, 2]] | [[3], [1, 2]] | Passed |
| null child | [[None, 2]] | [[None, 2]] | Passed |
| hidden null list | [None] | [None] | Passed |
| empty valid list | [[], [1]] | [[], [1]] | Passed |
| repeated list | [[2], [2]] | [[2], [2]] | Passed |
| no rows | [] | [] | Passed |
| nonzero physical origin | [[1, 2]] | [[1, 2]] | Passed |
SHA-256 / 8b82b4b1704df7570994e3cdfa1520cd2e8d47c877862c456aa26cb0a9a578b7
Verification & scope
Offline stipulated semantics over valid small inputs; no performance, concurrency, or production-engine conformance claim. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:44:12.384642+00:00.
Case digest / 149e7377a4189a92ebaab93cf0e60584434e5d91d0bd593fcf47d30944b7225e