摘要
研究0-1多元变量的逻辑函数及其整体配置函数空间变值编码表示特性。根据对称特性,系统地定义一批整体编码结构:邵雍-Leibniz码、广义码、文王码、伏羲码和共轭码。展示变值向量配置函数空间规模以及函数群集的状态空间组织结构。对各类编码系列的可区分数目,给出计算公式。2维变值展示框架展现在变值配置函数空间中不同编码族具有的内蕴对称特性。分层结构编码配置函数空间和2维展现描述体系,为基于东方逻辑传统的现代逻辑架构:变值逻辑体系,利用高维分析工具探讨0-1序列非线性超复杂逻辑变换开辟道路。
Global coding schemes of configuration function spaces are investigated on multiple 0-1 logic functions using variant approaches. Under symmetric properties, a series of global coding schemes are defined: SL code, G code, W code, F code and C code respectively. The whole construction is composed of four spaces: variable, state, function and configuration function respectively. Their structures and distinct numbers are defined and formulated respective- ly. This set of essential results will be useful to provide higher dimensional representation and useful tools to analyze and explore ultra complex properties of 0-1 sequences in future oriental lo~:ic explorations.
出处
《成都信息工程学院学报》
2011年第6期579-589,共11页
Journal of Chengdu University of Information Technology
关键词
逻辑函数
整体编码
基元组织
元胞自动机
共轭对称
logic function
global eoding
meta scheme
cellular automata
conjugate symmetry