A symbolic-dynamics conformance agent needs exact global injectivity and surject...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/binary-cellular-automaton-global-injectivity-surjectivityOverview
A symbolic-dynamics conformance agent needs exact global injectivity and surjectivity of a complete one-dimensional cellular local rule on Z, including surjective noninjective maps. Finite orbit periods and finite graph reachability alone do not decide this infinite configuration-space property.
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
x402 Payment Validation
Payment Requirements
—
Asset Verified
—
Facilitator
—
Input Schema
{
"body": {
"artifact": {
"cellular": {
"claim": {
"injective": false,
"surjective": true
},
"rule": [
1,
0
],
"width": 1
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "binary-cellular-automaton-global-injectivity-surjectivity_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"All binary configurations indexed by Z; simultaneous local window (i,...,i+w−1), width1–5. Rule array indexed by the big-endian binary integer of that window, ascending0..2^w−1. Complete table required.",
"Injective means globally reversible on the two-sided full shift, not invertible on one chosen finite ring. Surjective does not imply injective. Own complete finite pair-graph decision algorithm, no orbit-simulation inference or final-answer SDK."
],
"module": "binary-cellular-automaton-global-injectivity-surjectivity",
"state": "observed",
"value": {
"claim_matches": false,
"injective": true,
"surjective": true
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}