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Prüft eine vollständig gelieferte endliche Unabhängigkeitsfamilie gegen die drei...

https://detect.halowerk.com/v1/F-B-NIGHT-MATROID_INDEPENDENCE_AXIOMS/finite-matroid-independent-family-axioms

Overview

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

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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" }