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Prefix-primitive annihilators of languages under some operations

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Abstract

This paper studies some properties of prefix-primitive annihilators of languages under the catenation, shuffle product and bi-catenation operations. We prove that for every finite language L under the catenation operation, the left prefix-primitive annihilator of L is not equal to the right prefix-primitive annihilator of L, the left prefix-primitive annihilator of languages is not regular for any finite language, and the left prefix-primitive annihilator of any thin languages is not empty. Moreover, we also characterize the prefix-primitive annihilators of non-empty language under the shuffle product and bi-catenation operations over the alphabet with two letters.

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Authors and Affiliations

  1. Department of Information Management, National Chin-Yi University of Technology, Taichung, 411, Taiwan

    Chen-Ming Fan

  2. Center of General Education, National Taichung University of Science and Technology, Taichung, 404, Taiwan

    Cheng-Chih Huang & Christine Chifen Tseng

  3. Department of Digital Media Design, Hsiuping Institute of Technology, Taichung, 412, Taiwan

    Jen-Tse Wang

Authors
  1. Chen-Ming Fan
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  2. Cheng-Chih Huang
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  3. Christine Chifen Tseng
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  4. Jen-Tse Wang
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Correspondence to Cheng-Chih Huang.

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Fan, CM., Huang, CC., Tseng, C.C. et al. Prefix-primitive annihilators of languages under some operations. Acta Informatica 49, 281–293 (2012). https://doi.org/10.1007/s00236-012-0159-x

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  • DOI: https://doi.org/10.1007/s00236-012-0159-x

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