An algebra test agent needs exact membership in a finitely generated free subgro...
https://detect.halowerk.com/v1/F-NIGHT-ECMA/stallings-folded-subgroup-word-membershipOverview
An algebra test agent needs exact membership in a finitely generated free subgroup, via a folded inverse automaton, without enumerating products of subgroup generators.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:19
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": {
"free_group": {
"claim": false,
"generators": [
[
1
]
],
"query": [
1
],
"rank": 2
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "stallings-folded-subgroup-word-membership_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Own bounded exact mathematical rule; no source execution, remote data or personal values."
],
"module": "stallings-folded-subgroup-word-membership",
"state": "observed",
"value": {
"claim_matches": false,
"folded_unoriented_edges": 1,
"folded_vertices": 1,
"member": true,
"reduced_query_length": 1,
"subgroup_rank": 1
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}