PREFIX PICTURE CODES: A DECIDABLE CLASS OF TWO-DIMENSIONAL CODES-Reference-Cited by-同舟云学术

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

Published:2014-12 Issue:08 Volume:25 Page:1017-1031
ISSN:0129-0541
Container-title:International Journal of Foundations of Computer Science
language:en
Short-container-title:Int. J. Found. Comput. Sci.

Author:

ANSELMO MARCELLA¹,GIAMMARRESI DORA²,MADONIA MARIA³

Affiliation:

1. Dipartimento di Informatica, Università di Salerno, V. Giovanni Paolo II, 132 I-84084, Fisciano (SA), Italy

2. Dipartimento di Matematica. Università di Roma “Tor Vergata” Via della Ricerca Scientifica 00133 Roma, Italy

3. Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6/a 95125 Catania, Italy

Abstract

A two-dimensional code of pictures is defined as a set X ⊆ Σ** such that any picture over Σ 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129054114400218

Reference15 articles.

1. Polyomino tilings, cellular automata and codicity

2. Deterministic and Unambiguous Families within Recognizable Two-dimensional Languages

3. Unambiguous recognizable two-dimensional languages

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