Generalizations of code languages with marginal errors

Yo Sub Han, Sang Ki Ko, Kai Salomaa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We study k-prefix-free, k-suffix-free and k-infix-free languages that generalize prefix-free, suffix-free and infix-free languages by allowing marginal errors. For example, a string x in a k-prefix-free language L can be a prefix of up to k different strings in L. Namely, a code (language) can allow some marginal errors. We also define finitely prefix-free languages in which a string x can be a prefix of finitely many strings. We present efficient algorithms that determine whether or not a given regular language is k-prefix-free, k-suffix-free or k-infix-free, and analyze their runtime. Lastly, we establish the undecidability results for (linear) context-free languages.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 19th International Conference, DLT 2015, Proceedings
EditorsIgor Potapov
PublisherSpringer Verlag
Pages264-275
Number of pages12
ISBN (Print)9783319214993
DOIs
Publication statusPublished - 2015 Jan 1
Event19th International Conference on Developments in Language Theory, DLT 2015 - Liverpool, United Kingdom
Duration: 2015 Jul 272015 Jul 30

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9168
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other19th International Conference on Developments in Language Theory, DLT 2015
CountryUnited Kingdom
CityLiverpool
Period15/7/2715/7/30

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Han, Y. S., Ko, S. K., & Salomaa, K. (2015). Generalizations of code languages with marginal errors. In I. Potapov (Ed.), Developments in Language Theory - 19th International Conference, DLT 2015, Proceedings (pp. 264-275). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9168). Springer Verlag. https://doi.org/10.1007/978-3-319-21500-6_21