Rei: A Four-Axiom Foundation for Computational Existence Theory

Preprint. We present Rei, a computational system founded on exactly four axioms: Center-Periphery (A1), Extension-Reduction (A2), Sigma Accumulation (A3), and Genesis Phase Transition (A4). We prove mutual independence by constructing counter-models, derive fifteen core theorems, and validate the system with 1,689 passing tests. Open-source implementation: https://github.com/fc0web/rei-lang

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-16
DOI
https://doi.org/10.5281/zenodo.18651613
Primary Topic
Probability and Statistical Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Rei: A Four-Axiom Foundation for Computational Existence Theory

Nobuki Fujimoto
Zenodo (CERN European Organization for Nuclear Research)
Probability and Statistical Research
article

Rei: A Four-Axiom Foundation for Computational Existence Theory

Nobuki Fujimoto
article en

Abstract

Preprint. We present Rei, a computational system founded on exactly four axioms: Center-Periphery (A1), Extension-Reduction (A2), Sigma Accumulation (A3), and Genesis Phase Transition (A4). We prove mutual independence by constructing counter-models, derive fifteen core theorems, and validate the system with 1,689 passing tests. Open-source implementation: https://github.com/fc0web/rei-lang

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 57%
Probability and Statistical Research
DOIOpen Access PDFOpenAlex
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.

Rei: A Four-Axiom Foundation for Computational Existence Theory — Nobuki Fujimoto · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS