FAILURE MAP
← Case archive

FA-40981 / Heap invariants / Open access

Persistent heap update copies the full search path while sharing off-path subtrees · case 01

The bounded persistent path copy certificate reports an incorrect allocations.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Persistent heap update copies the full search path while sharing off-path subtrees.

THE FAILURE

Persistent heap update copies the full search path while sharing off-path subtrees.

Unsuccessful approach: The local patch uses [[x,new] for x in path+siblings] and still violates the stated relation.

Case contract

A persistent array-backed heap update supplies a root-to-target node-id path, off-path sibling ids, old node generations, and a new generation. Allocate one copy per path node, reconnect copied edges, share every sibling, and preserve old node references. Report allocated pairs, copied edges, shared ids, old generation list, new root reference, and target reference.

Why this case matters

This isolates an internal heap representation or priority-structure invariant using deterministic finite records.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(d):
    path=d['path']; siblings=d['siblings']; old=d['old_generation']; new=d['new_generation']; copies=[[x,new] for x in path]
    return {'allocations': [[path[-1],new]] if path else [],
    'edges': [[[path[i],new],[path[i+1],new]] for i in range(len(path)-1)],
    'shared': [[x,old] for x in siblings],
    'old_refs': [[x,old] for x in path],
    'root': [path[0],new] if path else None,
    'target': [path[-1],new] if path else None}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 10}, {'allocations': [[5, 10], [3, 10], [100, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'target': [100, 10]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 11}, {'allocations': [[5, 11], [3, 11], [100, 11], [101, 11]], 'edges': [[[5, 11], [3, 11]], [[3, 11], [100, 11]], [[100, 11], [101, 11]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2]], 'root': [5, 11], 'target': [101, 11]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 12}, {'allocations': [[5, 12], [3, 12], [100, 12], [101, 12], [102, 12]], 'edges': [[[5, 12], [3, 12]], [[3, 12], [100, 12]], [[100, 12], [101, 12]], [[101, 12], [102, 12]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2]], 'root': [5, 12], 'target': [102, 12]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102, 103], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 13}, {'allocations': [[5, 13], [3, 13], [100, 13], [101, 13], [102, 13], [103, 13]], 'edges': [[[5, 13], [3, 13]], [[3, 13], [100, 13]], [[100, 13], [101, 13]], [[101, 13], [102, 13]], [[102, 13], [103, 13]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2], [103, 2]], 'root': [5, 13], 'target': [103, 13]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102, 103, 104], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 14}, {'allocations': [[5, 14], [3, 14], [100, 14], [101, 14], [102, 14], [103, 14], [104, 14]], 'edges': [[[5, 14], [3, 14]], [[3, 14], [100, 14]], [[100, 14], [101, 14]], [[101, 14], [102, 14]], [[102, 14], [103, 14]], [[103, 14], [104, 14]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2], [103, 2], [104, 2]], 'root': [5, 14], 'target': [104, 14]})]][N-1]
check('regression certificate 1', solve(cases[0][0]), cases[0][1])
check('regression certificate 2', solve(cases[1][0]), cases[1][1])
check('regression certificate 3', solve(cases[2][0]), cases[2][1])
check('regression certificate 4', solve(cases[3][0]), cases[3][1])
check('regression certificate 5', solve(cases[4][0]), cases[4][1])
check('regression certificate 6', solve(cases[5][0]), cases[5][1])
check('variant-dependent certificate', solve(cases[6][0]), cases[6][1])
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 fixtureActualExpectedOutcome
regression certificate 1{'allocations': [], 'edges': [], 'old_refs': [], 'root': None, 'shared': [], 'target': None}{'allocations': [], 'edges': [], 'old_refs': [], 'root': None, 'shared': [], 'target': None}Passed
regression certificate 2{'allocations': [[1, 9]], 'edges': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'shared': [], 'target': [1, 9]}{'allocations': [[1, 9]], 'edges': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'shared': [], 'target': [1, 9]}Passed
regression certificate 3{'allocations': [[3, 9]], 'edges': [[[1, 9], [3, 9]]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'shared': [[2, 2]], 'target': [3, 9]}{'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'shared': [[2, 2]], 'target': [3, 9]}Failed
regression certificate 4{'allocations': [[5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'shared': [[3, 2], [4, 2]], 'target': [5, 9]}{'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'shared': [[3, 2], [4, 2]], 'target': [5, 9]}Failed
regression certificate 5{'allocations': [[2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'shared': [[8, 2], [5, 2], [1, 2]], 'target': [2, 9]}{'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'shared': [[8, 2], [5, 2], [1, 2]], 'target': [2, 9]}Failed
regression certificate 6{'allocations': [[3, 9]], 'edges': [[[5, 9], [3, 9]]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [3, 9]}{'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [3, 9]}Failed
variant-dependent certificate{'allocations': [[100, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [100, 10]}{'allocations': [[5, 10], [3, 10], [100, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [100, 10]}Failed

SHA-256 / 2930e79ce939280484b7e096af06ec5f49bdad6e67101115dd78ffc6ca1abeb8

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(d):
    path=d['path']; siblings=d['siblings']; old=d['old_generation']; new=d['new_generation']; copies=[[x,new] for x in path]
    return {'allocations': [[x,new] for x in path+siblings],
    'edges': [[[path[i],new],[path[i+1],new]] for i in range(len(path)-1)],
    'shared': [[x,old] for x in siblings],
    'old_refs': [[x,old] for x in path],
    'root': [path[0],new] if path else None,
    'target': [path[-1],new] if path else None}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 10}, {'allocations': [[5, 10], [3, 10], [100, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'target': [100, 10]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 11}, {'allocations': [[5, 11], [3, 11], [100, 11], [101, 11]], 'edges': [[[5, 11], [3, 11]], [[3, 11], [100, 11]], [[100, 11], [101, 11]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2]], 'root': [5, 11], 'target': [101, 11]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 12}, {'allocations': [[5, 12], [3, 12], [100, 12], [101, 12], [102, 12]], 'edges': [[[5, 12], [3, 12]], [[3, 12], [100, 12]], [[100, 12], [101, 12]], [[101, 12], [102, 12]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2]], 'root': [5, 12], 'target': [102, 12]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102, 103], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 13}, {'allocations': [[5, 13], [3, 13], [100, 13], [101, 13], [102, 13], [103, 13]], 'edges': [[[5, 13], [3, 13]], [[3, 13], [100, 13]], [[100, 13], [101, 13]], [[101, 13], [102, 13]], [[102, 13], [103, 13]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2], [103, 2]], 'root': [5, 13], 'target': [103, 13]})], [({'path': [], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [], 'edges': [], 'shared': [], 'old_refs': [], 'root': None, 'target': None}), ({'path': [1], 'siblings': [], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9]], 'edges': [], 'shared': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'target': [1, 9]}), ({'path': [1, 3], 'siblings': [2], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'shared': [[2, 2]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'target': [3, 9]}), ({'path': [1, 2, 5], 'siblings': [3, 4], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'shared': [[3, 2], [4, 2]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'target': [5, 9]}), ({'path': [7, 4, 9, 2], 'siblings': [8, 5, 1], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'shared': [[8, 2], [5, 2], [1, 2]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'target': [2, 9]}), ({'path': [5, 3], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 9}, {'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'target': [3, 9]}), ({'path': [5, 3, 100, 101, 102, 103, 104], 'siblings': [8, 2, 9], 'old_generation': 2, 'new_generation': 14}, {'allocations': [[5, 14], [3, 14], [100, 14], [101, 14], [102, 14], [103, 14], [104, 14]], 'edges': [[[5, 14], [3, 14]], [[3, 14], [100, 14]], [[100, 14], [101, 14]], [[101, 14], [102, 14]], [[102, 14], [103, 14]], [[103, 14], [104, 14]]], 'shared': [[8, 2], [2, 2], [9, 2]], 'old_refs': [[5, 2], [3, 2], [100, 2], [101, 2], [102, 2], [103, 2], [104, 2]], 'root': [5, 14], 'target': [104, 14]})]][N-1]
check('regression certificate 1', solve(cases[0][0]), cases[0][1])
check('regression certificate 2', solve(cases[1][0]), cases[1][1])
check('regression certificate 3', solve(cases[2][0]), cases[2][1])
check('regression certificate 4', solve(cases[3][0]), cases[3][1])
check('regression certificate 5', solve(cases[4][0]), cases[4][1])
check('regression certificate 6', solve(cases[5][0]), cases[5][1])
check('variant-dependent certificate', solve(cases[6][0]), cases[6][1])
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 fixtureActualExpectedOutcome
regression certificate 1{'allocations': [], 'edges': [], 'old_refs': [], 'root': None, 'shared': [], 'target': None}{'allocations': [], 'edges': [], 'old_refs': [], 'root': None, 'shared': [], 'target': None}Passed
regression certificate 2{'allocations': [[1, 9]], 'edges': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'shared': [], 'target': [1, 9]}{'allocations': [[1, 9]], 'edges': [], 'old_refs': [[1, 2]], 'root': [1, 9], 'shared': [], 'target': [1, 9]}Passed
regression certificate 3{'allocations': [[1, 9], [3, 9], [2, 9]], 'edges': [[[1, 9], [3, 9]]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'shared': [[2, 2]], 'target': [3, 9]}{'allocations': [[1, 9], [3, 9]], 'edges': [[[1, 9], [3, 9]]], 'old_refs': [[1, 2], [3, 2]], 'root': [1, 9], 'shared': [[2, 2]], 'target': [3, 9]}Failed
regression certificate 4{'allocations': [[1, 9], [2, 9], [5, 9], [3, 9], [4, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'shared': [[3, 2], [4, 2]], 'target': [5, 9]}{'allocations': [[1, 9], [2, 9], [5, 9]], 'edges': [[[1, 9], [2, 9]], [[2, 9], [5, 9]]], 'old_refs': [[1, 2], [2, 2], [5, 2]], 'root': [1, 9], 'shared': [[3, 2], [4, 2]], 'target': [5, 9]}Failed
regression certificate 5{'allocations': [[7, 9], [4, 9], [9, 9], [2, 9], [8, 9], [5, 9], [1, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'shared': [[8, 2], [5, 2], [1, 2]], 'target': [2, 9]}{'allocations': [[7, 9], [4, 9], [9, 9], [2, 9]], 'edges': [[[7, 9], [4, 9]], [[4, 9], [9, 9]], [[9, 9], [2, 9]]], 'old_refs': [[7, 2], [4, 2], [9, 2], [2, 2]], 'root': [7, 9], 'shared': [[8, 2], [5, 2], [1, 2]], 'target': [2, 9]}Failed
regression certificate 6{'allocations': [[5, 9], [3, 9], [8, 9], [2, 9], [9, 9]], 'edges': [[[5, 9], [3, 9]]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [3, 9]}{'allocations': [[5, 9], [3, 9]], 'edges': [[[5, 9], [3, 9]]], 'old_refs': [[5, 2], [3, 2]], 'root': [5, 9], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [3, 9]}Failed
variant-dependent certificate{'allocations': [[5, 10], [3, 10], [100, 10], [8, 10], [2, 10], [9, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [100, 10]}{'allocations': [[5, 10], [3, 10], [100, 10]], 'edges': [[[5, 10], [3, 10]], [[3, 10], [100, 10]]], 'old_refs': [[5, 2], [3, 2], [100, 2]], 'root': [5, 10], 'shared': [[8, 2], [2, 2], [9, 2]], 'target': [100, 10]}Failed

SHA-256 / 60fb3422c549c819606d8583b5123c7f7d87686c04e6c072aa41e641a36ee3f1

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 7 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

Member access is invitation-based. Sign in with your invited account to inspect the repair.

Sign in to the archive ↗

Verification & scope

A stipulated offline diagnostic model; it does not implement a production allocator, concurrency protocol, or complete heap library. 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 2026-09-29T14:43:36.602501+00:00.

Case digest / 9c9d7dd558d0dfcef2853be414599d4727991d5b2e9bd80d2e24bf7a18242716