Revised and Improved Final Part of "An Interval-Based Approach to the Collatz Conjecture"

Abstract

This document contains a revised and improved version of the final part of the previously deposited article, “An Interval-Based Approach to the Collatz Conjecture.”The revision focuses on the formulation and presentation of the inductive argument, including the transition between consecutive intervals and the concluding section. The purpose of this revision is to clarify the logical structure of the argument and strengthen the exposition of the final part of the work.The complete original article is available at:https://doi.org/10.5281/zenodo.21201768This version contains revisions limited to the final part of the previously deposited article. The preceding parts of the original article are not reproduced here.