Pre-registration — Complete classification of the well-posed subsets of the Rao (1998) Śrīyantra constraint system (unchanged from v1.0/v1.1)

Version 1.2 adds Amendment-02, which supersedes Amendment-01 in full. Amendment-01's coefficient-parameter family homotopy for plane-form Tier-2 completeness is recorded as computationally intractable (an exploratory negative result). Amendment-02 installs in its place certified real-box enumeration via rigorous affine-arithmetic interval-Newton (AA-Krawczyk) over the registered box, with a queue-exhaustion completeness criterion under outward-rounded arithmetic, new recorded invariants, Gate-1 and Gate-M provisions, and a tooling freeze. The method was validated on an eight-subset exploratory pilot (recorded; not confirmatory). Filed before any confirmatory subset run and before the tooling freeze. The engine under test is unchanged at v0.1.0.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20677502
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
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article

Pre-registration — Complete classification of the well-posed subsets of the Rao (1998) Śrīyantra constraint system (unchanged from v1.0/v1.1)

Salah-Eddin Gherbi
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

Pre-registration — Complete classification of the well-posed subsets of the Rao (1998) Śrīyantra constraint system (unchanged from v1.0/v1.1)

Salah-Eddin Gherbi
article en

Abstract

Version 1.2 adds Amendment-02, which supersedes Amendment-01 in full. Amendment-01's coefficient-parameter family homotopy for plane-form Tier-2 completeness is recorded as computationally intractable (an exploratory negative result). Amendment-02 installs in its place certified real-box enumeration via rigorous affine-arithmetic interval-Newton (AA-Krawczyk) over the registered box, with a queue-exhaustion completeness criterion under outward-rounded arithmetic, new recorded invariants, Gate-1 and Gate-M provisions, and a tooling freeze. The method was validated on an eight-subset exploratory pilot (recorded; not confirmatory). Filed before any confirmatory subset run and before the tooling freeze. The engine under test is unchanged at v0.1.0.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 4%
Polynomial and algebraic computation
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Pre-registration — Complete classification of the well-posed subsets of the Rao (1998) Śrīyantra constraint system (unchanged from v1.0/v1.1) — Salah-Eddin Gherbi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS