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FA-41121 / Heap invariants / Open access

Buffered heap logical size counts each buffered entry once across promotion · case 01

The bounded buffered flush certificate reports an incorrect size.

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

ROOT CAUSE

Buffered heap logical size counts each buffered entry once across promotion.

THE FAILURE

Buffered heap logical size counts each buffered entry once across promotion.

Unsuccessful approach: The local patch uses len(merged)+len(b) if flush else len(h)+len(b) and still violates the stated relation.

Case contract

A buffered priority heap has sorted resident entries [id,key] and unsorted insertion buffer of unique ids disjoint from residents. Flush only when buffer length reaches capacity; then merge all records ordered by key then id. Report triggering flag, resident after flush, buffer after flush, visible minimum across both tiers, logical size, and write count of promoted buffer entries.

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):
    h=d['heap']; b=d['buffer']; cap=d['capacity']; flush=len(b)>=cap; merged=sorted(h+b,key=lambda x:(x[1],x[0]))
    return {'trigger': flush,
    'resident': merged if flush else h,
    'buffer': [] if flush else b,
    'minimum': merged[0][1] if merged else None,
    'size': len(h),
    'writes': len(b) if flush else 0}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 3, 'writes': 2})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 4, 'writes': 3})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 5, 'writes': 4})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2], ['103', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['103', 3], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 6, 'writes': 5})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2], ['103', 3], ['104', 4]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['103', 3], ['b', 3], ['104', 4]], 'buffer': [], 'minimum': 0, 'size': 7, 'writes': 6})]][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{'buffer': [], 'minimum': None, 'resident': [], 'size': 0, 'trigger': False, 'writes': 0}{'buffer': [], 'minimum': None, 'resident': [], 'size': 0, 'trigger': False, 'writes': 0}Passed
regression certificate 2{'buffer': [['b', 1]], 'minimum': 1, 'resident': [['a', 5]], 'size': 1, 'trigger': False, 'writes': 0}{'buffer': [['b', 1]], 'minimum': 1, 'resident': [['a', 5]], 'size': 2, 'trigger': False, 'writes': 0}Failed
regression certificate 3{'buffer': [], 'minimum': 2, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'size': 2, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 2, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'size': 4, 'trigger': True, 'writes': 2}Failed
regression certificate 4{'buffer': [], 'minimum': 3, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'size': 1, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 3, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'size': 3, 'trigger': True, 'writes': 2}Failed
regression certificate 5{'buffer': [], 'minimum': 2, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'size': 0, 'trigger': True, 'writes': 3}{'buffer': [], 'minimum': 2, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'size': 3, 'trigger': True, 'writes': 3}Failed
regression certificate 6{'buffer': [], 'minimum': 1, 'resident': [['a', 1], ['b', 3]], 'size': 1, 'trigger': True, 'writes': 1}{'buffer': [], 'minimum': 1, 'resident': [['a', 1], ['b', 3]], 'size': 2, 'trigger': True, 'writes': 1}Failed
variant-dependent certificate{'buffer': [], 'minimum': 0, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'size': 1, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 0, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'size': 3, 'trigger': True, 'writes': 2}Failed

SHA-256 / 51edae2a08b5aae1c4d093fc9754ff8799352ff0638b68b7000e09a87766cd49

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(d):
    h=d['heap']; b=d['buffer']; cap=d['capacity']; flush=len(b)>=cap; merged=sorted(h+b,key=lambda x:(x[1],x[0]))
    return {'trigger': flush,
    'resident': merged if flush else h,
    'buffer': [] if flush else b,
    'minimum': merged[0][1] if merged else None,
    'size': len(merged)+len(b) if flush else len(h)+len(b),
    'writes': len(b) if flush else 0}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 3, 'writes': 2})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 4, 'writes': 3})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 5, 'writes': 4})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2], ['103', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['103', 3], ['b', 3]], 'buffer': [], 'minimum': 0, 'size': 6, 'writes': 5})], [({'heap': [], 'buffer': [], 'capacity': 2}, {'trigger': False, 'resident': [], 'buffer': [], 'minimum': None, 'size': 0, 'writes': 0}), ({'heap': [['a', 5]], 'buffer': [['b', 1]], 'capacity': 2}, {'trigger': False, 'resident': [['a', 5]], 'buffer': [['b', 1]], 'minimum': 1, 'size': 2, 'writes': 0}), ({'heap': [['a', 5], ['b', 7]], 'buffer': [['d', 6], ['c', 2]], 'capacity': 2}, {'trigger': True, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'buffer': [], 'minimum': 2, 'size': 4, 'writes': 2}), ({'heap': [['z', 3]], 'buffer': [['y', 3], ['x', 3]], 'capacity': 2}, {'trigger': True, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'buffer': [], 'minimum': 3, 'size': 3, 'writes': 2}), ({'heap': [], 'buffer': [['a', 8], ['b', 2], ['c', 4]], 'capacity': 2}, {'trigger': True, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'buffer': [], 'minimum': 2, 'size': 3, 'writes': 3}), ({'heap': [['a', 1]], 'buffer': [['b', 3]], 'capacity': 1}, {'trigger': True, 'resident': [['a', 1], ['b', 3]], 'buffer': [], 'minimum': 1, 'size': 2, 'writes': 1}), ({'heap': [['a', 1]], 'buffer': [['b', 3], ['100', 0], ['101', 1], ['102', 2], ['103', 3], ['104', 4]], 'capacity': 1}, {'trigger': True, 'resident': [['100', 0], ['101', 1], ['a', 1], ['102', 2], ['103', 3], ['b', 3], ['104', 4]], 'buffer': [], 'minimum': 0, 'size': 7, 'writes': 6})]][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{'buffer': [], 'minimum': None, 'resident': [], 'size': 0, 'trigger': False, 'writes': 0}{'buffer': [], 'minimum': None, 'resident': [], 'size': 0, 'trigger': False, 'writes': 0}Passed
regression certificate 2{'buffer': [['b', 1]], 'minimum': 1, 'resident': [['a', 5]], 'size': 2, 'trigger': False, 'writes': 0}{'buffer': [['b', 1]], 'minimum': 1, 'resident': [['a', 5]], 'size': 2, 'trigger': False, 'writes': 0}Passed
regression certificate 3{'buffer': [], 'minimum': 2, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'size': 6, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 2, 'resident': [['c', 2], ['a', 5], ['d', 6], ['b', 7]], 'size': 4, 'trigger': True, 'writes': 2}Failed
regression certificate 4{'buffer': [], 'minimum': 3, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'size': 5, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 3, 'resident': [['x', 3], ['y', 3], ['z', 3]], 'size': 3, 'trigger': True, 'writes': 2}Failed
regression certificate 5{'buffer': [], 'minimum': 2, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'size': 6, 'trigger': True, 'writes': 3}{'buffer': [], 'minimum': 2, 'resident': [['b', 2], ['c', 4], ['a', 8]], 'size': 3, 'trigger': True, 'writes': 3}Failed
regression certificate 6{'buffer': [], 'minimum': 1, 'resident': [['a', 1], ['b', 3]], 'size': 3, 'trigger': True, 'writes': 1}{'buffer': [], 'minimum': 1, 'resident': [['a', 1], ['b', 3]], 'size': 2, 'trigger': True, 'writes': 1}Failed
variant-dependent certificate{'buffer': [], 'minimum': 0, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'size': 5, 'trigger': True, 'writes': 2}{'buffer': [], 'minimum': 0, 'resident': [['100', 0], ['a', 1], ['b', 3]], 'size': 3, 'trigger': True, 'writes': 2}Failed

SHA-256 / e8ece92f22a3a6ac4aa2b24b957527b133b3dddc148ac90e20eebbb988cf773a

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.

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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 2026-09-29T14:43:37.760723+00:00.

Case digest / 71f2f5aa500b650b8a550d486ff7e4b8a75065ec4b25fe2ac9f1bff67bf75eda