FA-47201 / Bounded deques / Open access
Deque rollback replays before-images in forward order · case 01
Deque rollback replays before-images in forward order.
ROOT CAUSE
Deque rollback replays before-images in forward order.
THE FAILURE
Deque rollback replays before-images in forward order.
Unsuccessful approach: The partial repair still applies the incorrect transition to an admitted boundary or multi-element case.
Case contract
Undo a failed bounded ring mutation from a before-image journal. Replay writes newest-first, restore captured head/size/epoch, release reserved capacity, reclaim newly allocated blocks newest-first and consume the journal.
Why this case matters
Controlled bounded deque implementation model with explicit storage and lifecycle observations.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
slots,journal,old_head,old_size,old_epoch,reserved,created=x
restored=slots[:]
for index,value in journal:restored[index]=value
head=old_head
size=old_size
epoch=old_epoch
permits=0
reclaimed=created[::-1]
remaining=[]
return [restored,head,size,epoch,permits,reclaimed,remaining]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('0', solve([[N+2,None],[[0,N],[0,N+1]],1,1,3,2,[4,5]]), {1: [[1, None], 1, 1, 3, 0, [5, 4], []], 2: [[2, None], 1, 1, 3, 0, [5, 4], []], 3: [[3, None], 1, 1, 3, 0, [5, 4], []], 4: [[4, None], 1, 1, 3, 0, [5, 4], []], 5: [[5, None], 1, 1, 3, 0, [5, 4], []]}[N])
check('1', solve([[N,N+1,N+2],[[1,None],[2,None]],0,1,2,1,[7]]), {1: [[1, None, None], 0, 1, 2, 0, [7], []], 2: [[2, None, None], 0, 1, 2, 0, [7], []], 3: [[3, None, None], 0, 1, 2, 0, [7], []], 4: [[4, None, None], 0, 1, 2, 0, [7], []], 5: [[5, None, None], 0, 1, 2, 0, [7], []]}[N])
check('2', solve([[N],[],0,1,4,0,[]]), {1: [[1], 0, 1, 4, 0, [], []], 2: [[2], 0, 1, 4, 0, [], []], 3: [[3], 0, 1, 4, 0, [], []], 4: [[4], 0, 1, 4, 0, [], []], 5: [[5], 0, 1, 4, 0, [], []]}[N])
check('3', solve([[None,N+1,None],[[1,N]],1,1,0,1,[8,9,10]]), {1: [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []], 2: [[None, 2, None], 1, 1, 0, 0, [10, 9, 8], []], 3: [[None, 3, None], 1, 1, 0, 0, [10, 9, 8], []], 4: [[None, 4, None], 1, 1, 0, 0, [10, 9, 8], []], 5: [[None, 5, None], 1, 1, 0, 0, [10, 9, 8], []]}[N])
check('4', solve([[N,N+1],[[0,None],[1,None]],1,0,2,2,[3,6]]), {1: [[None, None], 1, 0, 2, 0, [6, 3], []], 2: [[None, None], 1, 0, 2, 0, [6, 3], []], 3: [[None, None], 1, 0, 2, 0, [6, 3], []], 4: [[None, None], 1, 0, 2, 0, [6, 3], []], 5: [[None, None], 1, 0, 2, 0, [6, 3], []]}[N])
check('5', solve([[N+3,N+1],[[0,N],[0,N+2]],0,2,7,3,[4,7]]), {1: [[1, 2], 0, 2, 7, 0, [7, 4], []], 2: [[2, 3], 0, 2, 7, 0, [7, 4], []], 3: [[3, 4], 0, 2, 7, 0, [7, 4], []], 4: [[4, 5], 0, 2, 7, 0, [7, 4], []], 5: [[5, 6], 0, 2, 7, 0, [7, 4], []]}[N])
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 |
|---|---|---|---|
| 0 | [[2, None], 1, 1, 3, 0, [5, 4], []] | [[1, None], 1, 1, 3, 0, [5, 4], []] | Failed |
| 1 | [[1, None, None], 0, 1, 2, 0, [7], []] | [[1, None, None], 0, 1, 2, 0, [7], []] | Passed |
| 2 | [[1], 0, 1, 4, 0, [], []] | [[1], 0, 1, 4, 0, [], []] | Passed |
| 3 | [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []] | [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []] | Passed |
| 4 | [[None, None], 1, 0, 2, 0, [6, 3], []] | [[None, None], 1, 0, 2, 0, [6, 3], []] | Passed |
| 5 | [[3, 2], 0, 2, 7, 0, [7, 4], []] | [[1, 2], 0, 2, 7, 0, [7, 4], []] | Failed |
SHA-256 / b68e9b70ccc158aad7e314e9abffdeaffcfa5633f5d349716e0196caf49050a5
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
slots,journal,old_head,old_size,old_epoch,reserved,created=x
restored=slots[:]
for index,value in (reversed(journal) if len(created)<=1 else journal):restored[index]=value
head=old_head
size=old_size
epoch=old_epoch
permits=0
reclaimed=created[::-1]
remaining=[]
return [restored,head,size,epoch,permits,reclaimed,remaining]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('0', solve([[N+2,None],[[0,N],[0,N+1]],1,1,3,2,[4,5]]), {1: [[1, None], 1, 1, 3, 0, [5, 4], []], 2: [[2, None], 1, 1, 3, 0, [5, 4], []], 3: [[3, None], 1, 1, 3, 0, [5, 4], []], 4: [[4, None], 1, 1, 3, 0, [5, 4], []], 5: [[5, None], 1, 1, 3, 0, [5, 4], []]}[N])
check('1', solve([[N,N+1,N+2],[[1,None],[2,None]],0,1,2,1,[7]]), {1: [[1, None, None], 0, 1, 2, 0, [7], []], 2: [[2, None, None], 0, 1, 2, 0, [7], []], 3: [[3, None, None], 0, 1, 2, 0, [7], []], 4: [[4, None, None], 0, 1, 2, 0, [7], []], 5: [[5, None, None], 0, 1, 2, 0, [7], []]}[N])
check('2', solve([[N],[],0,1,4,0,[]]), {1: [[1], 0, 1, 4, 0, [], []], 2: [[2], 0, 1, 4, 0, [], []], 3: [[3], 0, 1, 4, 0, [], []], 4: [[4], 0, 1, 4, 0, [], []], 5: [[5], 0, 1, 4, 0, [], []]}[N])
check('3', solve([[None,N+1,None],[[1,N]],1,1,0,1,[8,9,10]]), {1: [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []], 2: [[None, 2, None], 1, 1, 0, 0, [10, 9, 8], []], 3: [[None, 3, None], 1, 1, 0, 0, [10, 9, 8], []], 4: [[None, 4, None], 1, 1, 0, 0, [10, 9, 8], []], 5: [[None, 5, None], 1, 1, 0, 0, [10, 9, 8], []]}[N])
check('4', solve([[N,N+1],[[0,None],[1,None]],1,0,2,2,[3,6]]), {1: [[None, None], 1, 0, 2, 0, [6, 3], []], 2: [[None, None], 1, 0, 2, 0, [6, 3], []], 3: [[None, None], 1, 0, 2, 0, [6, 3], []], 4: [[None, None], 1, 0, 2, 0, [6, 3], []], 5: [[None, None], 1, 0, 2, 0, [6, 3], []]}[N])
check('5', solve([[N+3,N+1],[[0,N],[0,N+2]],0,2,7,3,[4,7]]), {1: [[1, 2], 0, 2, 7, 0, [7, 4], []], 2: [[2, 3], 0, 2, 7, 0, [7, 4], []], 3: [[3, 4], 0, 2, 7, 0, [7, 4], []], 4: [[4, 5], 0, 2, 7, 0, [7, 4], []], 5: [[5, 6], 0, 2, 7, 0, [7, 4], []]}[N])
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 |
|---|---|---|---|
| 0 | [[2, None], 1, 1, 3, 0, [5, 4], []] | [[1, None], 1, 1, 3, 0, [5, 4], []] | Failed |
| 1 | [[1, None, None], 0, 1, 2, 0, [7], []] | [[1, None, None], 0, 1, 2, 0, [7], []] | Passed |
| 2 | [[1], 0, 1, 4, 0, [], []] | [[1], 0, 1, 4, 0, [], []] | Passed |
| 3 | [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []] | [[None, 1, None], 1, 1, 0, 0, [10, 9, 8], []] | Passed |
| 4 | [[None, None], 1, 0, 2, 0, [6, 3], []] | [[None, None], 1, 0, 2, 0, [6, 3], []] | Passed |
| 5 | [[3, 2], 0, 2, 7, 0, [7, 4], []] | [[1, 2], 0, 2, 7, 0, [7, 4], []] | Failed |
SHA-256 / 6d15af6a042b2b2b8f3f93ec978672a5e7c693a3a4a4f2e3124f3e88a1ffc86d
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 6 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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Sign in to the archive ↗Verification & scope
Offline finite deterministic model; no claim of production implementation or concurrent memory-model conformance. 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 2026-09-29T14:44:39.549989+00:00.
Case digest / 7f6050ef5879424203b9a48332ad9ff684b6e7486e3bcaa0b50320ab416a180a