A Unified Symbolic Proof of the Collatz Conjecture

This project presents a complete and rigorously verified proof of the Collatz Conjecture via a symbolic transformation framework based on residue analysis and contraction dynamics. It combines three integrated components: analytical modeling, formal convergence proof, and verified Lean 4 implementation.

Publication Details

Journal
OSF Preprints (OSF Preprints)
Published
2025-01-01
DOI
https://doi.org/10.17605/osf.io/h7xj6
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

A Unified Symbolic Proof of the Collatz Conjecture

OSF Preprints (OSF Preprints)
Benford’s Law and Fraud Detection
article

A Unified Symbolic Proof of the Collatz Conjecture

article en

Abstract

This project presents a complete and rigorously verified proof of the Collatz Conjecture via a symbolic transformation framework based on residue analysis and contraction dynamics. It combines three integrated components: analytical modeling, formal convergence proof, and verified Lean 4 implementation.

OSF Preprints (OSF Preprints)
Openalex Percentile: Top 48%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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A Unified Symbolic Proof of the Collatz Conjecture · OSF Preprints (OSF Preprints) (2025) | TGRS Research Map | TGRS