A finite-combinatorial-optimization agent needs a maximum common independent set...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/edmonds-two-matroid-common-independent-maximumOverview
A finite-combinatorial-optimization agent needs a maximum common independent set of two arbitrary explicitly supplied matroids anditscardinality. Existing singlematroid independenceaxiom validation cannot solve this pairedoptimization.
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detect
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bazaar
Indexed
2026-11-02 17:26:22
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unknown
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Uptime (30d)
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Input Schema
{
"body": {
"artifact": {
"matroid_intersection": {
"claim": 2,
"first": [
[],
[
0
],
[
1
],
[
0,
1
],
[
2
],
[
0,
2
],
[
1,
2
]
],
"ground": 3,
"second": [
[],
[
0
],
[
1
],
[
2
]
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "edmonds-two-matroid-common-independent-maximum_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Groundset0–8anonymous elements;both entire independentfamilies explicitly supplied andfully checkedasmatroids. Invalidmatroidortruncatedfamily returnsunknown. Deterministic ascendingelement BFS yieldsoneoptimum;otheroptima mayexist.",
"Returnsone commonindependentwitness andrank-sumoptimalitycertificate,not merelysinglematroidaxioms. No weightedoptimization,three-matroidintersection,physicalnetworkor safetyclaim."
],
"module": "edmonds-two-matroid-common-independent-maximum",
"state": "observed",
"value": {
"augmentations": 1,
"claim_matches": false,
"common_independent_set": [
0
],
"first_partition_rank": 0,
"maximum_size": 1,
"minmax_partition": [],
"second_complement_rank": 1
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}