Codes, orderings, and partial words

  • Authors:
  • F. Blanchet-Sadri

  • Affiliations:
  • Department of Mathematical Sciences, University of North Carolina, P.O. Box 26170, Greensboro, NC

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2004

Quantified Score

Hi-index 5.23

Visualization

Abstract

Codes play an important role in the study of the combinatorics of words. In this paper, we introduce pcodes that play a role in the study of combinatorics of partial words. Partial words are strings over a finite alphabet that may contain a number of "do not know" symbols. Pcodes are defined in terms of the compatibility relation that considers two strings over the same alphabet that are equal except for a number of insertions and/or deletions of symbols. We describe various ways of defining and analyzing pcodes, In particular, many pcodes can be obtained as antichains with respect to certain partial orderings. Using a technique related to dominoes, we show that the pcode property is decidable.