A Conjecture Equivalent to the Collatz Conjecture

TL;DR

This paper introduces an alternative formulation of the Collatz conjecture designed to facilitate analysis using automated termination checking tools, aiming to advance understanding of this longstanding mathematical problem.

Contribution

The paper proposes a new conjecture formulation that could be more accessible for automated analysis compared to the original Collatz conjecture.

Findings

Potential for automated tools to analyze the reformulated conjecture

Simplifies the problem structure for computational verification

Provides a new perspective on the Collatz conjecture

Abstract

We present a formulation of the Collatz conjecture that is potentially more amenable to modeling and analysis by automated termination checking tools.