FAILURE MAP
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FA-40306 / Heap invariants / Open access

Heap recycled-slot generation must match exactly · case 01

The bounded handle generation certificate reports an incorrect generation.

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

ROOT CAUSE

Heap recycled-slot generation must match exactly.

THE FAILURE

Heap recycled-slot generation must match exactly.

Unsuccessful approach: The local patch uses [bounds(h) and slots[h[0]][1]==h[1]+1 for h in hs] and still violates the stated relation.

Case contract

A heap handle is [slot,generation,owner]. A slot table stores [live,generation,payload]. A handle resolves only for matching owner, in-range slot, live slot, and exact generation. Inspect each supplied handle; return per-handle ownership, bounds, liveness, generation match, resolution, and next generation after recycling each slot. Missing resolution is None.

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):
    owner=d['owner']; slots=d['slots']; hs=d['handles']
    def bounds(h): return 0<=h[0]<len(slots)
    def live(h): return bounds(h) and slots[h[0]][0]
    def gen(h): return bounds(h) and slots[h[0]][1]==h[1]
    return {'owners': [h[2]==owner for h in hs],
    'bounds': [bounds(h) for h in hs],
    'live': [live(h) for h in hs],
    'generation': [bounds(h) and slots[h[0]][1]>=h[1] for h in hs],
    'resolved': [slots[h[0]][2] if h[2]==owner and live(h) and gen(h) else None for h in hs],
    'recycle': [x[1]+1 for x in slots]}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 10, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [True, False, False], 'resolved': ['z', None, None], 'recycle': [11]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 11, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [12]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 12, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [13]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 13, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [14]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 14, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [15]})]][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{'bounds': [False, False], 'generation': [False, False], 'live': [False, False], 'owners': [True, True], 'recycle': [], 'resolved': [None, None]}{'bounds': [False, False], 'generation': [False, False], 'live': [False, False], 'owners': [True, True], 'recycle': [], 'resolved': [None, None]}Passed
regression certificate 2{'bounds': [True, True], 'generation': [True, True], 'live': [True, True], 'owners': [True, False], 'recycle': [1], 'resolved': [0, None]}{'bounds': [True, True], 'generation': [True, True], 'live': [True, True], 'owners': [True, False], 'recycle': [1], 'resolved': [0, None]}Passed
regression certificate 3{'bounds': [True, True], 'generation': [True, True], 'live': [False, False], 'owners': [True, True], 'recycle': [4], 'resolved': [None, None]}{'bounds': [True, True], 'generation': [True, False], 'live': [False, False], 'owners': [True, True], 'recycle': [4], 'resolved': [None, None]}Failed
regression certificate 4{'bounds': [True, True, True], 'generation': [True, True, True], 'live': [True, True, True], 'owners': [True, True, False], 'recycle': [5, 9], 'resolved': [None, 'b', None]}{'bounds': [True, True, True], 'generation': [False, True, True], 'live': [True, True, True], 'owners': [True, True, False], 'recycle': [5, 9], 'resolved': [None, 'b', None]}Failed
regression certificate 5{'bounds': [True, True, False], 'generation': [True, True, False], 'live': [True, False, False], 'owners': [True, True, True], 'recycle': [2, 3], 'resolved': ['', None, None]}{'bounds': [True, True, False], 'generation': [True, True, False], 'live': [True, False, False], 'owners': [True, True, True], 'recycle': [2, 3], 'resolved': ['', None, None]}Passed
regression certificate 6{'bounds': [True, True, False], 'generation': [False, True, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [10], 'resolved': [None, 'z', None]}{'bounds': [True, True, False], 'generation': [False, True, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [10], 'resolved': [None, 'z', None]}Passed
variant-dependent certificate{'bounds': [True, True, False], 'generation': [True, True, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [11], 'resolved': ['z', None, None]}{'bounds': [True, True, False], 'generation': [True, False, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [11], 'resolved': ['z', None, None]}Failed

SHA-256 / 2b1500bb7060dbf4d2c0d2bb257f45509d4a2ce3fd0f23dc4600c0d60c652241

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(d):
    owner=d['owner']; slots=d['slots']; hs=d['handles']
    def bounds(h): return 0<=h[0]<len(slots)
    def live(h): return bounds(h) and slots[h[0]][0]
    def gen(h): return bounds(h) and slots[h[0]][1]==h[1]
    return {'owners': [h[2]==owner for h in hs],
    'bounds': [bounds(h) for h in hs],
    'live': [live(h) for h in hs],
    'generation': [bounds(h) and slots[h[0]][1]==h[1]+1 for h in hs],
    'resolved': [slots[h[0]][2] if h[2]==owner and live(h) and gen(h) else None for h in hs],
    'recycle': [x[1]+1 for x in slots]}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 10, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [True, False, False], 'resolved': ['z', None, None], 'recycle': [11]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 11, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [12]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 12, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [13]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 13, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [14]})], [({'owner': 2, 'slots': [], 'handles': [[0, 0, 2], [-1, 0, 2]]}, {'owners': [True, True], 'bounds': [False, False], 'live': [False, False], 'generation': [False, False], 'resolved': [None, None], 'recycle': []}), ({'owner': 2, 'slots': [[True, 0, 0]], 'handles': [[0, 0, 2], [0, 0, 1]]}, {'owners': [True, False], 'bounds': [True, True], 'live': [True, True], 'generation': [True, True], 'resolved': [0, None], 'recycle': [1]}), ({'owner': 2, 'slots': [[False, 3, 'x']], 'handles': [[0, 3, 2], [0, 2, 2]]}, {'owners': [True, True], 'bounds': [True, True], 'live': [False, False], 'generation': [True, False], 'resolved': [None, None], 'recycle': [4]}), ({'owner': 2, 'slots': [[True, 4, 'a'], [True, 8, 'b']], 'handles': [[0, 3, 2], [1, 8, 2], [1, 8, 3]]}, {'owners': [True, True, False], 'bounds': [True, True, True], 'live': [True, True, True], 'generation': [False, True, True], 'resolved': [None, 'b', None], 'recycle': [5, 9]}), ({'owner': 2, 'slots': [[True, 1, ''], [False, 2, 5]], 'handles': [[0, 1, 2], [1, 2, 2], [-1, 2, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, False, False], 'generation': [True, True, False], 'resolved': ['', None, None], 'recycle': [2, 3]}), ({'owner': 2, 'slots': [[True, 9, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, True, False], 'resolved': [None, 'z', None], 'recycle': [10]}), ({'owner': 2, 'slots': [[True, 14, 'z']], 'handles': [[0, 10, 2], [0, 9, 2], [1, 9, 2]]}, {'owners': [True, True, True], 'bounds': [True, True, False], 'live': [True, True, False], 'generation': [False, False, False], 'resolved': [None, None, None], 'recycle': [15]})]][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{'bounds': [False, False], 'generation': [False, False], 'live': [False, False], 'owners': [True, True], 'recycle': [], 'resolved': [None, None]}{'bounds': [False, False], 'generation': [False, False], 'live': [False, False], 'owners': [True, True], 'recycle': [], 'resolved': [None, None]}Passed
regression certificate 2{'bounds': [True, True], 'generation': [False, False], 'live': [True, True], 'owners': [True, False], 'recycle': [1], 'resolved': [0, None]}{'bounds': [True, True], 'generation': [True, True], 'live': [True, True], 'owners': [True, False], 'recycle': [1], 'resolved': [0, None]}Failed
regression certificate 3{'bounds': [True, True], 'generation': [False, True], 'live': [False, False], 'owners': [True, True], 'recycle': [4], 'resolved': [None, None]}{'bounds': [True, True], 'generation': [True, False], 'live': [False, False], 'owners': [True, True], 'recycle': [4], 'resolved': [None, None]}Failed
regression certificate 4{'bounds': [True, True, True], 'generation': [True, False, False], 'live': [True, True, True], 'owners': [True, True, False], 'recycle': [5, 9], 'resolved': [None, 'b', None]}{'bounds': [True, True, True], 'generation': [False, True, True], 'live': [True, True, True], 'owners': [True, True, False], 'recycle': [5, 9], 'resolved': [None, 'b', None]}Failed
regression certificate 5{'bounds': [True, True, False], 'generation': [False, False, False], 'live': [True, False, False], 'owners': [True, True, True], 'recycle': [2, 3], 'resolved': ['', None, None]}{'bounds': [True, True, False], 'generation': [True, True, False], 'live': [True, False, False], 'owners': [True, True, True], 'recycle': [2, 3], 'resolved': ['', None, None]}Failed
regression certificate 6{'bounds': [True, True, False], 'generation': [False, False, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [10], 'resolved': [None, 'z', None]}{'bounds': [True, True, False], 'generation': [False, True, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [10], 'resolved': [None, 'z', None]}Failed
variant-dependent certificate{'bounds': [True, True, False], 'generation': [False, True, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [11], 'resolved': ['z', None, None]}{'bounds': [True, True, False], 'generation': [True, False, False], 'live': [True, True, False], 'owners': [True, True, True], 'recycle': [11], 'resolved': ['z', None, None]}Failed

SHA-256 / c87ca5a1bcf45e43dc2e687fad75a4af5920445d27a0f793882d2efc5cd51ed8

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.

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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 2026-09-29T14:43:29.942491+00:00.

Case digest / 2ffb98a985313db9bfa6cbdd75941353b799d734e9c01bc0ef9ac22e7464c67f