FA-501 / Consensus / Open access
Accept a proposal value: A value is accepted below the promised ballot · case 01
The acceptor accept operation is admitted even though a value is accepted below the promised ballot.
ROOT CAUSE
The admission path omits the ballot promised invariant while validating the other operation preconditions.
VERIFIED REPAIR
Require tuple(r['ballot_promised'][0]) >= tuple(r['ballot_promised'][1]) together with every other stated precondition before accepting the operation.
Unsuccessful approach: Adding the ballot promised check repairs the reported defect, but replacing the adjacent ballot value unique check loses that independent invariant.
Case contract
Return a Boolean admission decision for accept a proposal value. The record r must satisfy all of: tuple(r['ballot_promised'][0]) >= tuple(r['ballot_promised'][1]); r['ballot_value_unique'][0] is None or r['ballot_value_unique'][0] == r['ballot_value_unique'][1]; r['slot_untrimmed'][0] > r['slot_untrimmed'][1]; len(r['value_length'][0]) <= r['value_length'][1]; r['accept_persisted'] is True. Extra tracing fields are ignored; validation does not mutate the record.
Why this case matters
A deterministic local contract for consensus. 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 (r['ballot_value_unique'][0] is None or r['ballot_value_unique'][0] == r['ballot_value_unique'][1]) and (r['slot_untrimmed'][0] > r['slot_untrimmed'][1]) and (len(r['value_length'][0]) <= r['value_length'][1]) and (r['accept_persisted'] is True)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'ballot_promised': [[6, 1], [5, 2]], 'ballot_value_unique': ['x', 'x'], 'slot_untrimmed': [11, 10], 'value_length': ['abc', 3], 'accept_persisted': True}
check('valid operation', solve(r), True)
check('A value is accepted below the promised ballot', solve(dict(r, **{'ballot_promised': [[5, 1], [5, 2]]})), False)
check('The same ballot accepts two different values', solve(dict(r, **{'ballot_value_unique': ['x', 'y']})), False)
check('A forgotten slot is reopened without its chosen evidence', solve(dict(r, **{'slot_untrimmed': [10, 10]})), False)
check('An accept request bypasses the bounded value envelope', solve(dict(r, **{'value_length': ['abcd', 3]})), False)
check('An accept acknowledgement precedes durable acceptance', solve(dict(r, **{'accept_persisted': False})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'ballot_promised': [[5, 1], [5, 2]], 'ballot_value_unique': ['x', 'y'], 'slot_untrimmed': [10, 10], 'value_length': ['abcd', 3], 'accept_persisted': False}
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 |
| A value is accepted below the promised ballot | True | False | Failed |
| The same ballot accepts two different values | False | False | Passed |
| A forgotten slot is reopened without its chosen evidence | False | False | Passed |
| An accept request bypasses the bounded value envelope | False | False | Passed |
| An accept acknowledgement precedes durable acceptance | 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 / 4942b3911668cbf0ba52bd2cdaddedb55ce529b8912d18c81dd2ab75cbad8b4b
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(r):
return (tuple(r['ballot_promised'][0]) >= tuple(r['ballot_promised'][1])) and (r['slot_untrimmed'][0] > r['slot_untrimmed'][1]) and (len(r['value_length'][0]) <= r['value_length'][1]) and (r['accept_persisted'] is True)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'ballot_promised': [[6, 1], [5, 2]], 'ballot_value_unique': ['x', 'x'], 'slot_untrimmed': [11, 10], 'value_length': ['abc', 3], 'accept_persisted': True}
check('valid operation', solve(r), True)
check('A value is accepted below the promised ballot', solve(dict(r, **{'ballot_promised': [[5, 1], [5, 2]]})), False)
check('The same ballot accepts two different values', solve(dict(r, **{'ballot_value_unique': ['x', 'y']})), False)
check('A forgotten slot is reopened without its chosen evidence', solve(dict(r, **{'slot_untrimmed': [10, 10]})), False)
check('An accept request bypasses the bounded value envelope', solve(dict(r, **{'value_length': ['abcd', 3]})), False)
check('An accept acknowledgement precedes durable acceptance', solve(dict(r, **{'accept_persisted': False})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'ballot_promised': [[5, 1], [5, 2]], 'ballot_value_unique': ['x', 'y'], 'slot_untrimmed': [10, 10], 'value_length': ['abcd', 3], 'accept_persisted': False}
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 |
| A value is accepted below the promised ballot | False | False | Passed |
| The same ballot accepts two different values | True | False | Failed |
| A forgotten slot is reopened without its chosen evidence | False | False | Passed |
| An accept request bypasses the bounded value envelope | False | False | Passed |
| An accept acknowledgement precedes durable acceptance | 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 / fca08905229152fed36ae3c0cd18bb809976219c1397330d073349cdc6b038ec
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(r):
return (tuple(r['ballot_promised'][0]) >= tuple(r['ballot_promised'][1])) and (r['ballot_value_unique'][0] is None or r['ballot_value_unique'][0] == r['ballot_value_unique'][1]) and (r['slot_untrimmed'][0] > r['slot_untrimmed'][1]) and (len(r['value_length'][0]) <= r['value_length'][1]) and (r['accept_persisted'] is True)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'ballot_promised': [[6, 1], [5, 2]], 'ballot_value_unique': ['x', 'x'], 'slot_untrimmed': [11, 10], 'value_length': ['abc', 3], 'accept_persisted': True}
check('valid operation', solve(r), True)
check('A value is accepted below the promised ballot', solve(dict(r, **{'ballot_promised': [[5, 1], [5, 2]]})), False)
check('The same ballot accepts two different values', solve(dict(r, **{'ballot_value_unique': ['x', 'y']})), False)
check('A forgotten slot is reopened without its chosen evidence', solve(dict(r, **{'slot_untrimmed': [10, 10]})), False)
check('An accept request bypasses the bounded value envelope', solve(dict(r, **{'value_length': ['abcd', 3]})), False)
check('An accept acknowledgement precedes durable acceptance', solve(dict(r, **{'accept_persisted': False})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'ballot_promised': [[5, 1], [5, 2]], 'ballot_value_unique': ['x', 'y'], 'slot_untrimmed': [10, 10], 'value_length': ['abcd', 3], 'accept_persisted': False}
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 |
| A value is accepted below the promised ballot | False | False | Passed |
| The same ballot accepts two different values | False | False | Passed |
| A forgotten slot is reopened without its chosen evidence | False | False | Passed |
| An accept request bypasses the bounded value envelope | False | False | Passed |
| An accept acknowledgement precedes durable acceptance | 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 / eb9d7bbe71755162b65014d96941fc643bc5e72b192956e4bf9414e06f003df2
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 2026-09-29T14:36:53.730813+00:00.
Case digest / 87ab5e60f2613ade9f28e52828bbee642b1e0e1156634d3deba3ab00ce3cb5ef