Two undecidable variants of Collatz's problems

被引:4
|
作者
Lehtonen, Eero [1 ]
机构
[1] Univ Turku, Dept Math, FI-20014 Turku, Finland
关键词
Collatz's conjecture; Collatz's original problem; Undecidability;
D O I
10.1016/j.tcs.2008.08.029
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The paper introduces a simple way to show that certain iterative, number theoretic problems are undecidable. As applications, variants of the Collatz's conjecture and the so-called Collatz's original problem are shown to be undecidable. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:596 / 600
页数:5
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