GARDEN-014 — Casas-Alvero

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GARDEN-014WITNESS_EXECUTED_EXACTS5

GARDEN-014 · Casas-Alvero

RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT

context
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Casas-Alvero is overlaid on the MuncyNautics frame: the seat names WHERE the problem lives in the frame, the species (S5 — The Lane / Carry) names WHAT KIND of owe its residual is, the forbidder is the executed witness — coincident pins collapse to the tower (proven); wandering pins need n−1 simultaneous fresh coincidences inside nested spans; survivors isolated by dimension count… — and the structured residual states exactly what remains open: the composite lanes past the prime-power descent… Standing is honest: SUPPORTED means the overlay reading is demonstrated and measured but the named residual is not yet discharged. Method: MuncyNautics Seam Recovery, Derrick E. Muncy.
schema
MN-RECOVERY-CERTIFICATE-1.1
certificate_id
MN-CERT-GARDEN-014-RERUN-20260830
supersedes
MN-CERT-GARDEN-014-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED)
job_id
GARDEN-014
title
Casas-Alvero
author
Derrick E. Muncy
method
MuncyNautics Seam Recovery Method v1.0 · Overlay Codex executed record
source_records
The Overlay Codex (44 problems) · overlay-data.js (project record) · Overlay Codex, Annals format
species
S5 — The Lane / Carry
overlay_verb
lock
seat (the address the overlay assigns)
the pure tower (x−a)ⁿ — every tier of the ladder pinned
forbidder / executed witness
coincident pins collapse to the tower (proven); wandering pins need n−1 simultaneous fresh coincidences inside nested spans; survivors isolated by dimension count
governing_equation_as_projected (the seam)
f shares a root with every derivative ⇒ f = (x−a)ⁿ — checked degree by degree
complete_governing_equation (the repair)
every tier of the pure tower pinned: coincident pins collapse to (x−a)ⁿ (proven); wandering pins need n−1 simultaneous fresh coincidences inside nested spans — dimension count isolates survivors
structured_residual
the composite lanes past the prime-power descent
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 — seat, verb, and species carried; no bare-magnitude reduction performed
precision
Measured figures in the witness computed cold in double precision on the session record; classification exact (no numeric claim promoted beyond its precision)
falsifier
The residual field names the exact open step; exhibiting its failure (or a counterexample at the named seat) falsifies the overlay reading for this entry
standing
WITNESS_EXECUTED_EXACT
promotion_authority
YELLOW — the residual is a named open step; no GREEN issued on an open owe
honesty_state
SUPPORTED
generated_utc
2026-08-31T03:05:49.533Z

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