Most Pseudo-copy Languages Are Not Context-Free

Hyunjoon Cheon, Joonghyuk Hahn, Yo Sub Han, Sang Ki Ko

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

1 Citation (Scopus)

Abstract

It is well known that the copy language L= { ww∣ w∈ Σ} is not context-free despite its simplicity. We study pseudo-copy languages that are defined to be sets of catenations of two similar strings, and prove non-context-freeness of these languages. We consider the Hamming distance and the edit-distance for the error measure of the two similar strings in pseudo-copy languages. When the error has an upper bound or a fixed value, we show that the pseudo-copy languages are not context-free. Similarly, if the error has a lower bound of at least four, then such languages are not context-free, either. Finally, we prove that all these pseudo-copy languages are context-sensitive.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 27th International Conference, COCOON 2021, Proceedings
EditorsChi-Yeh Chen, Wing-Kai Hon, Ling-Ju Hung, Chia-Wei Lee
PublisherSpringer Science and Business Media Deutschland GmbH
Pages189-200
Number of pages12
ISBN (Print)9783030895426
DOIs
Publication statusPublished - 2021
Event27th International Conference on Computing and Combinatorics, COCOON 2021 - Tainan, Taiwan, Province of China
Duration: 2021 Oct 242021 Oct 26

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13025 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference27th International Conference on Computing and Combinatorics, COCOON 2021
Country/TerritoryTaiwan, Province of China
CityTainan
Period21/10/2421/10/26

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

Fingerprint

Dive into the research topics of 'Most Pseudo-copy Languages Are Not Context-Free'. Together they form a unique fingerprint.

Cite this