FA-706 / Replication / Open access
Acknowledge a replicated write concern: Volatile receipt acknowledgements satisfy durable concern · case 01
The write concern operation is admitted even though volatile receipt acknowledgements satisfy durable concern.
ROOT CAUSE
The admission path omits the durable acks invariant while validating the other operation preconditions.
VERIFIED REPAIR
Require sum(r['durable_acks'][0]) >= r['durable_acks'][1] together with every other stated precondition before accepting the operation.
Unsuccessful approach: Adding the durable acks check repairs the reported defect, but replacing the adjacent failure domains check loses that independent invariant.
Case contract
Return a Boolean admission decision for acknowledge a replicated write concern. The record r must satisfy all of: len(set(r['distinct_replicas'][0])) >= r['distinct_replicas'][1]; sum(r['durable_acks'][0]) >= r['durable_acks'][1]; len(set(r['failure_domains'][0])) >= r['failure_domains'][1]; all(x == r['write_binding'][0] for x in r['write_binding'][1]); r['ack_deadline'][0] < r['ack_deadline'][1]. Extra tracing fields are ignored; validation does not mutate the record.
Why this case matters
A deterministic local contract for replication. Each negative fixture violates exactly one invariant. No transport timing, persistence, cryptographic verification, or full protocol implementation is claimed.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(r):
return (len(set(r['distinct_replicas'][0])) >= r['distinct_replicas'][1]) and (len(set(r['failure_domains'][0])) >= r['failure_domains'][1]) and (all(x == r['write_binding'][0] for x in r['write_binding'][1])) and (r['ack_deadline'][0] < r['ack_deadline'][1])
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'distinct_replicas': [['a', 'b'], 2], 'durable_acks': [[True, True, False], 2], 'failure_domains': [['z1', 'z2'], 2], 'write_binding': ['w2', ['w2', 'w2']], 'ack_deadline': [9, 10]}
check('valid operation', solve(r), True)
check('Repeated acknowledgements count as separate replicas', solve(dict(r, **{'distinct_replicas': [['a', 'a'], 2]})), False)
check('Volatile receipt acknowledgements satisfy durable concern', solve(dict(r, **{'durable_acks': [[True, False, False], 2]})), False)
check('Multiple copies in one failure domain satisfy zone concern', solve(dict(r, **{'failure_domains': [['z1', 'z1'], 2]})), False)
check('Replica acknowledgements refer to another write', solve(dict(r, **{'write_binding': ['w2', ['w1', 'w2']]})), False)
check('A write is reported successful after its response deadline', solve(dict(r, **{'ack_deadline': [10, 10]})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'distinct_replicas': [['a', 'a'], 2], 'durable_acks': [[True, False, False], 2], 'failure_domains': [['z1', 'z1'], 2], 'write_binding': ['w2', ['w1', 'w2']], 'ack_deadline': [10, 10]}
keys = list(invalid)
pair = {keys[N % len(keys)]: invalid[keys[N % len(keys)]], keys[(N+1) % len(keys)]: invalid[keys[(N+1) % len(keys)]]}
check('two independent violations in variant', solve(dict(r, **pair)), False)
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 |
|---|---|---|---|
| valid operation | True | True | Passed |
| Repeated acknowledgements count as separate replicas | False | False | Passed |
| Volatile receipt acknowledgements satisfy durable concern | True | False | Failed |
| Multiple copies in one failure domain satisfy zone concern | False | False | Passed |
| Replica acknowledgements refer to another write | False | False | Passed |
| A write is reported successful after its response deadline | False | False | Passed |
| unrelated tracing metadata | True | True | Passed |
| repeat validation is pure | True | True | Passed |
| two independent violations in variant | False | False | Passed |
SHA-256 / c556841fdf4ddc6a46dccf159ee33df030f5dc80e1967d27aa86a812a1fa23f3
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(r):
return (len(set(r['distinct_replicas'][0])) >= r['distinct_replicas'][1]) and (sum(r['durable_acks'][0]) >= r['durable_acks'][1]) and (all(x == r['write_binding'][0] for x in r['write_binding'][1])) and (r['ack_deadline'][0] < r['ack_deadline'][1])
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'distinct_replicas': [['a', 'b'], 2], 'durable_acks': [[True, True, False], 2], 'failure_domains': [['z1', 'z2'], 2], 'write_binding': ['w2', ['w2', 'w2']], 'ack_deadline': [9, 10]}
check('valid operation', solve(r), True)
check('Repeated acknowledgements count as separate replicas', solve(dict(r, **{'distinct_replicas': [['a', 'a'], 2]})), False)
check('Volatile receipt acknowledgements satisfy durable concern', solve(dict(r, **{'durable_acks': [[True, False, False], 2]})), False)
check('Multiple copies in one failure domain satisfy zone concern', solve(dict(r, **{'failure_domains': [['z1', 'z1'], 2]})), False)
check('Replica acknowledgements refer to another write', solve(dict(r, **{'write_binding': ['w2', ['w1', 'w2']]})), False)
check('A write is reported successful after its response deadline', solve(dict(r, **{'ack_deadline': [10, 10]})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'distinct_replicas': [['a', 'a'], 2], 'durable_acks': [[True, False, False], 2], 'failure_domains': [['z1', 'z1'], 2], 'write_binding': ['w2', ['w1', 'w2']], 'ack_deadline': [10, 10]}
keys = list(invalid)
pair = {keys[N % len(keys)]: invalid[keys[N % len(keys)]], keys[(N+1) % len(keys)]: invalid[keys[(N+1) % len(keys)]]}
check('two independent violations in variant', solve(dict(r, **pair)), False)
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 |
|---|---|---|---|
| valid operation | True | True | Passed |
| Repeated acknowledgements count as separate replicas | False | False | Passed |
| Volatile receipt acknowledgements satisfy durable concern | False | False | Passed |
| Multiple copies in one failure domain satisfy zone concern | True | False | Failed |
| Replica acknowledgements refer to another write | False | False | Passed |
| A write is reported successful after its response deadline | False | False | Passed |
| unrelated tracing metadata | True | True | Passed |
| repeat validation is pure | True | True | Passed |
| two independent violations in variant | False | False | Passed |
SHA-256 / 63a3d8afa6a11aa104820d45f54bf2ec3f361db669ffad658eed41d926ae00cb
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(r):
return (len(set(r['distinct_replicas'][0])) >= r['distinct_replicas'][1]) and (sum(r['durable_acks'][0]) >= r['durable_acks'][1]) and (len(set(r['failure_domains'][0])) >= r['failure_domains'][1]) and (all(x == r['write_binding'][0] for x in r['write_binding'][1])) and (r['ack_deadline'][0] < r['ack_deadline'][1])
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'distinct_replicas': [['a', 'b'], 2], 'durable_acks': [[True, True, False], 2], 'failure_domains': [['z1', 'z2'], 2], 'write_binding': ['w2', ['w2', 'w2']], 'ack_deadline': [9, 10]}
check('valid operation', solve(r), True)
check('Repeated acknowledgements count as separate replicas', solve(dict(r, **{'distinct_replicas': [['a', 'a'], 2]})), False)
check('Volatile receipt acknowledgements satisfy durable concern', solve(dict(r, **{'durable_acks': [[True, False, False], 2]})), False)
check('Multiple copies in one failure domain satisfy zone concern', solve(dict(r, **{'failure_domains': [['z1', 'z1'], 2]})), False)
check('Replica acknowledgements refer to another write', solve(dict(r, **{'write_binding': ['w2', ['w1', 'w2']]})), False)
check('A write is reported successful after its response deadline', solve(dict(r, **{'ack_deadline': [10, 10]})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'distinct_replicas': [['a', 'a'], 2], 'durable_acks': [[True, False, False], 2], 'failure_domains': [['z1', 'z1'], 2], 'write_binding': ['w2', ['w1', 'w2']], 'ack_deadline': [10, 10]}
keys = list(invalid)
pair = {keys[N % len(keys)]: invalid[keys[N % len(keys)]], keys[(N+1) % len(keys)]: invalid[keys[(N+1) % len(keys)]]}
check('two independent violations in variant', solve(dict(r, **pair)), False)
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 |
|---|---|---|---|
| valid operation | True | True | Passed |
| Repeated acknowledgements count as separate replicas | False | False | Passed |
| Volatile receipt acknowledgements satisfy durable concern | False | False | Passed |
| Multiple copies in one failure domain satisfy zone concern | False | False | Passed |
| Replica acknowledgements refer to another write | False | False | Passed |
| A write is reported successful after its response deadline | False | False | Passed |
| unrelated tracing metadata | True | True | Passed |
| repeat validation is pure | True | True | Passed |
| two independent violations in variant | False | False | Passed |
SHA-256 / db9f09117c9c355156490a5d2d48c5add06f61edc801b1cbadee59668a6c1532
Verification & scope
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 2026-09-29T14:36:55.528858+00:00.
Case digest / 3b91ed7e126cab51df094dcc32f6d91fa9992378f5fa2e7ce88484d7ee32cbf7