FA-1376 / Concurrency / Open access

Grant permits from a distributed semaphore: The grant exceeds the configured total permit count · case 01

The semaphore grant operation is admitted even though the grant exceeds the configured total permit count.

Verified by executionVariant 1 · 9 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The admission path omits the permit capacity invariant while validating the other operation preconditions.

VERIFIED REPAIR

Require r['permit_capacity'][0]+r['permit_capacity'][1] <= r['permit_capacity'][2] together with every other stated precondition before accepting the operation.

Unsuccessful approach: Adding the permit capacity check repairs the reported defect, but replacing the adjacent positive request check loses that independent invariant.

Case contract

Return a Boolean admission decision for grant permits from a distributed semaphore. The record r must satisfy all of: r['permit_capacity'][0]+r['permit_capacity'][1] <= r['permit_capacity'][2]; r['positive_request'] > 0; r['request_not_granted'][0] not in r['request_not_granted'][1]; r['weighted_fifo'][0] == r['weighted_fifo'][1][0]; r['grant_session'] in ['active']. Extra tracing fields are ignored; validation does not mutate the record.

Why this case matters

A deterministic local contract for concurrency. 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['positive_request'] > 0) and (r['request_not_granted'][0] not in r['request_not_granted'][1]) and (r['weighted_fifo'][0] == r['weighted_fifo'][1][0]) and (r['grant_session'] in ['active'])
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'permit_capacity': [3, 2, 5], 'positive_request': 1, 'request_not_granted': ['r2', ['r1']], 'weighted_fifo': ['big', ['big', 'small']], 'grant_session': 'active'}
check('valid operation', solve(r), True)
check('The grant exceeds the configured total permit count', solve(dict(r, **{'permit_capacity': [4, 2, 5]})), False)
check('A zero or negative grant corrupts permit accounting', solve(dict(r, **{'positive_request': 0})), False)
check('A retried grant allocates the same request twice', solve(dict(r, **{'request_not_granted': ['r1', ['r1']]})), False)
check('A later small request overtakes the queued weighted head', solve(dict(r, **{'weighted_fifo': ['small', ['big', 'small']]})), False)
check('A session destroyed while waiting receives permits', solve(dict(r, **{'grant_session': 'closed'})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'permit_capacity': [4, 2, 5], 'positive_request': 0, 'request_not_granted': ['r1', ['r1']], 'weighted_fifo': ['small', ['big', 'small']], 'grant_session': 'closed'}
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
The grant exceeds the configured total permit count	`True`	`False`	Failed
A zero or negative grant corrupts permit accounting	`False`	`False`	Passed
A retried grant allocates the same request twice	`False`	`False`	Passed
A later small request overtakes the queued weighted head	`False`	`False`	Passed
A session destroyed while waiting receives permits	`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 / 1948061f19f7b7d659a1d56bf08c0a23183402a9a2568b0c39d3747f4d1398ed

2 / The unsuccessful fix

Exit 1

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

N = 1
observations = []
def solve(r):
    return (r['permit_capacity'][0]+r['permit_capacity'][1] <= r['permit_capacity'][2]) and (r['request_not_granted'][0] not in r['request_not_granted'][1]) and (r['weighted_fifo'][0] == r['weighted_fifo'][1][0]) and (r['grant_session'] in ['active'])
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'permit_capacity': [3, 2, 5], 'positive_request': 1, 'request_not_granted': ['r2', ['r1']], 'weighted_fifo': ['big', ['big', 'small']], 'grant_session': 'active'}
check('valid operation', solve(r), True)
check('The grant exceeds the configured total permit count', solve(dict(r, **{'permit_capacity': [4, 2, 5]})), False)
check('A zero or negative grant corrupts permit accounting', solve(dict(r, **{'positive_request': 0})), False)
check('A retried grant allocates the same request twice', solve(dict(r, **{'request_not_granted': ['r1', ['r1']]})), False)
check('A later small request overtakes the queued weighted head', solve(dict(r, **{'weighted_fifo': ['small', ['big', 'small']]})), False)
check('A session destroyed while waiting receives permits', solve(dict(r, **{'grant_session': 'closed'})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'permit_capacity': [4, 2, 5], 'positive_request': 0, 'request_not_granted': ['r1', ['r1']], 'weighted_fifo': ['small', ['big', 'small']], 'grant_session': 'closed'}
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
The grant exceeds the configured total permit count	`False`	`False`	Passed
A zero or negative grant corrupts permit accounting	`True`	`False`	Failed
A retried grant allocates the same request twice	`False`	`False`	Passed
A later small request overtakes the queued weighted head	`False`	`False`	Passed
A session destroyed while waiting receives permits	`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 / 2438cb4b2fa93168131114187e195f410b37c3964c5c22c26e9a829f0f38b6e3

3 / The verified repair

Exit 0

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

N = 1
observations = []
def solve(r):
    return (r['permit_capacity'][0]+r['permit_capacity'][1] <= r['permit_capacity'][2]) and (r['positive_request'] > 0) and (r['request_not_granted'][0] not in r['request_not_granted'][1]) and (r['weighted_fifo'][0] == r['weighted_fifo'][1][0]) and (r['grant_session'] in ['active'])
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
r = {'permit_capacity': [3, 2, 5], 'positive_request': 1, 'request_not_granted': ['r2', ['r1']], 'weighted_fifo': ['big', ['big', 'small']], 'grant_session': 'active'}
check('valid operation', solve(r), True)
check('The grant exceeds the configured total permit count', solve(dict(r, **{'permit_capacity': [4, 2, 5]})), False)
check('A zero or negative grant corrupts permit accounting', solve(dict(r, **{'positive_request': 0})), False)
check('A retried grant allocates the same request twice', solve(dict(r, **{'request_not_granted': ['r1', ['r1']]})), False)
check('A later small request overtakes the queued weighted head', solve(dict(r, **{'weighted_fifo': ['small', ['big', 'small']]})), False)
check('A session destroyed while waiting receives permits', solve(dict(r, **{'grant_session': 'closed'})), False)
check('unrelated tracing metadata', solve(dict(r, trace='run-'+str(N))), True)
check('repeat validation is pure', solve(r), True)
invalid = {'permit_capacity': [4, 2, 5], 'positive_request': 0, 'request_not_granted': ['r1', ['r1']], 'weighted_fifo': ['small', ['big', 'small']], 'grant_session': 'closed'}
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
The grant exceeds the configured total permit count	`False`	`False`	Passed
A zero or negative grant corrupts permit accounting	`False`	`False`	Passed
A retried grant allocates the same request twice	`False`	`False`	Passed
A later small request overtakes the queued weighted head	`False`	`False`	Passed
A session destroyed while waiting receives permits	`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 / a11e2ba6a0891119d35921dbf86a983fbccb1841608df63888f86a6c46b994a6

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 2026-09-29T14:37:01.635278+00:00.

Case digest / 46434943ed3ebf00748e29d28e571a934580f1a5765d8fd866ebd23845b4e3df