A Fail-Safe Exact Kernel for Rational Sphere-Plane CSG with a Machine-Checked Combinatorial Boundary

Companion preprint. We present an exact, deterministic boundary kernel for regularized Boolean CSG over rational spheres and planes, with a Lean-checked combinatorial closure rule, a fail-safe outcome classification, and benchmark artifacts. The deposit includes the paper PDF, SHA-256 list, and a source-and-artifact archive. The source archive contains the GPL research kernel, Lean proofs, test vectors, artifact tables, and reproduction scripts. Licenses: paper CC BY 4.0; research code and Lean proofs GPL-3.0-or-later; artifact data CC BY 4.0. The Axiom product QA core is not included.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23684035
Citations
1
Primary Topic
Computational Geometry and Mesh Generation
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

A Fail-Safe Exact Kernel for Rational Sphere-Plane CSG with a Machine-Checked Combinatorial Boundary

Shikisai Project
1 citations
Zenodo (CERN European Organization for Nuclear Research)
Computational Geometry and Mesh Generation
preprint

A Fail-Safe Exact Kernel for Rational Sphere-Plane CSG with a Machine-Checked Combinatorial Boundary

Shikisai Project
preprint en
1 citations

Abstract

Companion preprint. We present an exact, deterministic boundary kernel for regularized Boolean CSG over rational spheres and planes, with a Lean-checked combinatorial closure rule, a fail-safe outcome classification, and benchmark artifacts. The deposit includes the paper PDF, SHA-256 list, and a source-and-artifact archive. The source archive contains the GPL research kernel, Lean proofs, test vectors, artifact tables, and reproduction scripts. Licenses: paper CC BY 4.0; research code and Lean proofs GPL-3.0-or-later; artifact data CC BY 4.0. The Axiom product QA core is not included.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Computational Geometry and Mesh Generation
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon