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Generalizations of Code Languages with Marginal Errors

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Developments in Language Theory (DLT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9168))

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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.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Yonsei University, 50, Yonsei-Ro, Seoul, Seodaemun-Gu, 120-749, Republic of Korea

    Yo-Sub Han & Sang-Ki Ko

  2. School of Computing, Queen’s University, Kingston, ON, K7L 3N6, Canada

    Kai Salomaa

Authors
  1. Yo-Sub Han
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  2. Sang-Ki Ko
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  3. Kai Salomaa
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Corresponding author

Correspondence to Yo-Sub Han .

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Editors and Affiliations

  1. University of Liverpool, Liverpool, United Kingdom

    Igor Potapov

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Han, YS., Ko, SK., Salomaa, K. (2015). Generalizations of Code Languages with Marginal Errors. In: Potapov, I. (eds) Developments in Language Theory. DLT 2015. Lecture Notes in Computer Science(), vol 9168. Springer, Cham. https://doi.org/10.1007/978-3-319-21500-6_21

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  • DOI: https://doi.org/10.1007/978-3-319-21500-6_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21499-3

  • Online ISBN: 978-3-319-21500-6

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