A combinatorial-game test agent needs exact contextual comparison of arbitrary s...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/conway-short-partizan-game-four-way-orderOverview
A combinatorial-game test agent needs exact contextual comparison of arbitrary short partizan games, including fuzzy infinitesimals and unequal left/right legal moves that cannot be represented by impartial nimbers.
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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Facilitator
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Input Schema
{
"body": {
"artifact": {
"conway": {
"claim": "equal",
"g": 2,
"h": 0,
"nodes": [
{
"left": [],
"right": []
},
{
"left": [
0
],
"right": []
},
{
"left": [],
"right": [
0
]
},
{
"left": [
0
],
"right": [
0
]
},
{
"left": [
0
],
"right": [
1
]
},
{
"left": [
2
],
"right": [
0
]
},
{
"left": [
1
],
"right": []
},
{
"left": [],
"right": [
2
]
},
{
"left": [
0
],
"right": [
3
]
},
{
"left": [
3
],
"right": [
0
]
},
{
"left": [
1
],
"right": [
2
]
},
{
"left": [
2
],
"right": [
1
]
},
{
"left": [
3
],
"right": [
3
]
},
{
"left": [
1,
3
],
"right": [
1
]
},
{
"left": [
0,
2
],
"right": []
}
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "conway-short-partizan-game-four-way-order_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Complete short normal-play partizan game DAG, 1–16 topologically ordered nodes, separate Left/Right option sets, all references to earlier nodes. Empty options lose on that player turn. Fuzzy means incomparable, not numerical equality. No cycles, draws, misere play, payoffs, or impartial-only nimbers."
],
"module": "conway-short-partizan-game-four-way-order",
"state": "observed",
"value": {
"claim_matches": false,
"left_wins_when_left_starts": false,
"left_wins_when_right_starts": false,
"relation": "less"
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}