NET-SEAM-016SOLVER_EXECUTED · EXACT_EXECUTED_CONSTRUCTIVE_WITNESSNET
SOLVER EXECUTED · ZERO RESIDUAL
| context |
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. The problem: Control-System Unobservable-State Witness. This is the SOLVER-EXECUTED version from the Copilot Created store, superseding the earlier scan of the same job. The classical reading projects the complete object to a report — initial state -> output sequence k=0..3. The MuncyNautics Seam Recovery Method names the lost channels, keeps both arms, and reworks the governing equation — Recover [x0]_O=x0+ker(O_T); add a sensor row observing the second state.. Falsifier: { "test": "Require distinct witnesses, reconstruct both reports independently, and reject on any nonzero residual.", "result": "PASS" }. Method: Derrick E. Muncy.
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|---|---|
| schema |
MN-RECOVERY-CERTIFICATE-1.0 |
| certificate_id |
MN-CERT-NET-SEAM-016-SOLVER-20260830 |
| job_id |
NET-SEAM-016 |
| title |
Control-System Unobservable-State Witness |
| author |
Derrick E. Muncy |
| method |
MuncyNautics Seam Recovery Method |
| source |
{
"title": "6.241J Course Notes, Chapter 24: Observability",
"url": "https://ocw.mit.edu/courses/6-241j-dynamic-systems-and-control-spring-2011/2f03f88e1a714f3ccdb0b7b3f05a2c55_MIT6_241JS11_chap24.pdf"
}
|
| governing_formulation |
x(k+1)=Ix(k), y(k)=Cx(k), C=[1,0] |
| projection_operator |
initial state -> output sequence k=0..3 |
| witness_A |
[ "3", "5" ] |
| witness_B |
[ "3", "-7" ] |
| report_A |
[ "3", "3", "3", "3" ] |
| report_B |
[ "3", "3", "3", "3" ] |
| structured_residual |
[ "0", "0", "0", "0" ] |
| reconstruction_error |
0 exact |
| precision |
{
"primary": "exact rational/symbolic arithmetic",
"verification": "independent direct reconstruction of both reports"
}
|
| correction_rule |
Correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself. No raw appended constants; any finite term must be derived from the recovered channels, never fitted. |
| phase_retained |
True |
| reworked_equation |
Recover [x0]_O=x0+ker(O_T); add a sensor row observing the second state. |
| falsifier |
{
"test": "Require distinct witnesses, reconstruct both reports independently, and reject on any nonzero residual.",
"result": "PASS"
}
|
| standing |
EXACT_EXECUTED_CONSTRUCTIVE_WITNESS |
| scope |
Exact two-state, four-step observability witness. |
| promotion_authority |
RED |
| generated_utc |
2026-08-30T21:22:25.745719+00:00 |