极大前缀码的刻划

The Characterization of Maximal Prefix Code

设X*是字母表X上的自由幺半群,本文通过以X*为顶点集构造一个语言图Γ(X*),引入语言图Γ(X*)的横截集的概念,给出了极大前缀码的一个刻划.同时,证明了满足含有X中字母且长度有限的极大前缀码必是极大码.

Let X＇ be the free monoid on the alphabet set X. The concept of a transversal of the language diagram Г（X＇ ） is introduced by constructing a language diagram Г（X＇ ） with X＇ as the node set and a characterization of prefix code is given. In addition, we proved that a maximal prefix code with finite length that contains the alphabet in X must be a maximal code.