Generalizations of code languages with marginal errors

Yo Sub Han; Sang Ki Ko; Kai Salomaa

doi:10.1007/978-3-319-21500-6_21

Generalizations of code languages with marginal errors

Yo Sub Han, Sang Ki Ko, Kai Salomaa

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Developments in Language Theory - 19th International Conference, DLT 2015, Proceedings
Editors	Igor Potapov
Publisher	Springer Verlag
Pages	264-275
Number of pages	12
ISBN (Print)	9783319214993
DOIs	https://doi.org/10.1007/978-3-319-21500-6_21
Publication status	Published - 2015
Event	19th International Conference on Developments in Language Theory, DLT 2015 - Liverpool, United Kingdom Duration: 2015 Jul 27 → 2015 Jul 30

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9168
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	19th International Conference on Developments in Language Theory, DLT 2015
Country	United Kingdom
City	Liverpool
Period	15/7/27 → 15/7/30

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-319-21500-6_21

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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

Han, Yo Sub ; Ko, Sang Ki ; Salomaa, Kai. / Generalizations of code languages with marginal errors. Developments in Language Theory - 19th International Conference, DLT 2015, Proceedings. editor / Igor Potapov. Springer Verlag, 2015. pp. 264-275 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Generalizations of code languages with marginal errors",

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.",

author = "Han, {Yo Sub} and Ko, {Sang Ki} and Kai Salomaa",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.; 19th International Conference on Developments in Language Theory, DLT 2015 ; Conference date: 27-07-2015 Through 30-07-2015",

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Han, YS, Ko, SK & Salomaa, K 2015, Generalizations of code languages with marginal errors. in I Potapov (ed.), Developments in Language Theory - 19th International Conference, DLT 2015, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9168, Springer Verlag, pp. 264-275, 19th International Conference on Developments in Language Theory, DLT 2015, Liverpool, United Kingdom, 15/7/27. https://doi.org/10.1007/978-3-319-21500-6_21

Generalizations of code languages with marginal errors. / Han, Yo Sub; Ko, Sang Ki; Salomaa, Kai.

Developments in Language Theory - 19th International Conference, DLT 2015, Proceedings. ed. / Igor Potapov. Springer Verlag, 2015. p. 264-275 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9168).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - 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.

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