元胞自动机可逆性研究

摘要

Cellular automata is an important theoretical tool of modeling complex adaptive system. As a necessary condition of simulating physics reversible space, reversibility is an important attribute of cellular automata. This paper introduces basic concept, reversibility and computability about cellular automata, and describes how one-dimensional reversible cellular automata are computationally universal.%元胞自动机是对复杂适应系统建模的重要理论工具.可逆性是元胞自动机的一个重要属性,是模拟物理可逆空间的必要条件.本文介绍元胞自动机的基本概念、可逆性和可计算性,并介绍一维可逆元胞自动机可计算的证明思路.