Eliminate one existential integer variable from a bounded affine/congruence DNF ...
https://detect.halowerk.com/v1/F-TD2000-DATASTRUCTURES-10/presburger-existential-integer-projection-congruence-floor-certificateOverview
Eliminate one existential integer variable from a bounded affine/congruence DNF and recover an exact quantifier-free periodic/floor formula valid for every remaining integer parameter; not bounded ILP feasibility.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:09
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
x402 Payment Validation
Payment Requirements
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Asset Verified
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Facilitator
—
Input Schema
{
"body": {
"artifact": {
"presburger": {
"claim": null,
"data": {
"branches": [
[]
],
"parameters": 1
}
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 1,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "presburger-existential-integer-projection-congruence-floor-certificate_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Exact one-existential-integer projection of affine-inequality/divisibility DNF to a quantifier-free congruence/ceil-floor formula for all integer parameters. BigInt arithmetic; explicit coefficient/residue/output caps. No multiplication of variables, rational-domain substitution or finite-sampling equivalence claim."
],
"module": "presburger-existential-integer-projection-congruence-floor-certificate",
"state": "observed",
"value": {
"claim_matches": false,
"computed": {
"parameters": 1,
"quantifier_free_dnf": [
[]
]
}
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}