Prüft eine vollständig gelieferte endliche Unabhängigkeitsfamilie gegen die drei...
https://detect.halowerk.com/v1/F-B-NIGHT-MATROID_INDEPENDENCE_AXIOMS/finite-matroid-independent-family-axiomsOverview
Prüft eine vollständig gelieferte endliche Unabhängigkeitsfamilie gegen die drei Matroidaxiome, einschließlich Austauschfehlern, Schleifen und leerer Grundmenge; bestätigt keine bloße Stichprobe und berechnet keinen greedy Lösungsweg.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:22
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
x402 Payment Validation
Payment Requirements
—
Asset Verified
—
Facilitator
—
Input Schema
{
"body": {
"artifact": {
"claims": {
"augmentation": true,
"empty_set_present": true,
"ground_elements": 6,
"hereditary": true,
"independent_sets": 22,
"is_matroid": true,
"maximum_cardinality": 2
},
"ground_set": [
"element-0",
"element-1",
"element-2",
"element-3",
"element-4",
"element-5"
],
"independent_sets": [
[],
[
0
],
[
1
],
[
2
],
[
3
],
[
4
],
[
5
],
[
0,
1
],
[
0,
2
],
[
0,
3
],
[
0,
4
],
[
0,
5
],
[
1,
2
],
[
1,
3
],
[
1,
4
],
[
1,
5
],
[
2,
3
],
[
2,
4
],
[
2,
5
],
[
3,
4
],
[
3,
5
],
[
4,
5
]
]
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 100,
"evidence": [],
"limits": [
"Finite matroid independence axioms I1–I3: empty set, every subset of each independent set, and strict-cardinality augmentation. Single-deletion closure is equivalent to all-subset closure on the finite supplied family.",
"Closed COMPLETE independent-family inventory on a supplied finite ground set; not inference from sampled sets, a greedy basis solver, representability, graph connectivity, optimization or certification of an external system. Maximum16elements/256members; set/member order has no semantic effect.",
"Only bounded aggregate counts and booleans returned. Ground labels, members, failed witnesses and caller claims are never returned. All discrete claims compare exactly, including fractional claims."
],
"module": "finite-matroid-independent-family-axioms",
"state": "not_observed",
"value": {
"augmentation": true,
"claim_mismatches": 0,
"claims_match": true,
"empty_set_present": true,
"ground_elements": 6,
"hereditary": true,
"independent_sets": 22,
"is_matroid": true,
"maximum_cardinality": 2
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}