A symbolic term-rewriting test agent needs the complete finite set of critical o...
https://detect.halowerk.com/v1/F-NIGHT-ECMA/term-rewrite-variable-apart-critical-pairsOverview
A symbolic term-rewriting test agent needs the complete finite set of critical overlap equation pairs and its claimed cardinality from supplied first-order rewrite rules, including variable renaming apart and occurs-check rejection. Not a supplied rewrite-state relation or unification-only question.
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": {
"critical_pairs": {
"claim": 2,
"rules": [
[
[
1,
0
],
[
1,
1
]
]
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "term-rewrite-variable-apart-critical-pairs_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"The formal definition includes root self-overlaps and trivial ordered pairs. Root/nonroot flag and alpha-normalized ordered reducts define set equality.",
"No confluence, termination, security or execution judgment; exhaustion is unknown."
],
"module": "term-rewrite-variable-apart-critical-pairs",
"state": "observed",
"value": {
"claim_matches": false,
"critical_pair_count": 1,
"critical_pairs": [
{
"left": [
1,
1
],
"right": [
1,
1
],
"root": true
}
],
"overlap_instances": 1
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}