IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v17y2021i01ns1793005721500095.html
   My bibliography  Save this article

l-Valued Multiset Automata and l-Valued Multiset Languages

Author

Listed:
  • Vinay Gautam

    (Department of Applied Sciences, Galgotia College of Engineering and Technology, 1, Knowledge Park, Phase II, Greater Noida 201306, India)

Abstract

The reason for this work is to present and study deterministic multiset automata, multiset automata and their languages with membership values in complete residuated lattice without zero divisors. We build up the comparability of deterministic l-valued multiset finite automaton and l-valued multiset finite automaton in sense of recognizability of a l-valued multiset language. Then, we relate multiset regular languages to a given l-valued multiset regular languages and vice versa. At last, we present the concept of pumping lemma for l-valued multiset automata theory, which we utilize to give a necessary and sufficient condition for a l-valued multiset language to be non-constant.

Suggested Citation

  • Vinay Gautam, 2021. "l-Valued Multiset Automata and l-Valued Multiset Languages," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 175-189, March.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:01:n:s1793005721500095
    DOI: 10.1142/S1793005721500095
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005721500095
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005721500095?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:17:y:2021:i:01:n:s1793005721500095. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.