PREFIX PICTURE CODES: A DECIDABLE CLASS OF TWO-DIMENSIONAL CODES

被引：14

作者：

Anselmo, Marcella ^{[1
]}

Giammarresi, Dora ^{[2
]}

Madonia, Maria ^{[3
]}

机构：

[1] Univ Salerno, Dipartimento Informat, I-84084 Fisciano, SA, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[3] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE | 2014年 / 25卷 / 08期

关键词：

Two-dimensional languages; codes; prefix codes; maximality; completeness;

D O I：

10.1142/S0129054114400218

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A twodimensional code of pictures is defined as a set X subset of Sigma** such that any picture over Sigma is tilable in at most one way with pictures in X. It is proved that in general it is undecidable whether a finite set of picture is a code. The subclass of prefix codes is introduced and it is proved that it is decidable whether a finite set of pictures is a prefix code. :Further a polynomial time decoding algorithm for finite prefix codes is given. Maximality and completeness of finite prefix codes are studied.

引用

页码：1017 / 1031

页数：15

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