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To some structural properties of ∞-languages

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F22%3APU145532" target="_blank" >RIV/00216305:26510/22:PU145532 - isvavai.cz</a>

  • Result on the web

    <a href="http://eiris.it/ojs/index.php/ratiomathematica/issue/view/96" target="_blank" >http://eiris.it/ojs/index.php/ratiomathematica/issue/view/96</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    To some structural properties of ∞-languages

  • Original language description

    Properties of catenation of sequences of finite (words) and infinite (-words) lengths are largely studied in formal language theory. These operations are derived from the mechanism how they are accepted or generated by the corresponding devices. Finite automata accept structures containing only words, -automata accept only -words. Structures containing both words and -words (∞-words) are mostly generated by various types of ∞-automata (∞-machines). The aim of the paper is to investigate algebraic properties of operations on ∞-words generated by IGk-automata, where k is to model the depth of memory. It has importance in many applications (shift registers, discrete systems with memory...). It is shown that resulting algebraic structures are of „pure“ groupoid or partial groupoid type.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Ratio Mathematica

  • ISSN

    1592-7415

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    IT - ITALY

  • Number of pages

    8

  • Pages from-to

    127-134

  • UT code for WoS article

  • EID of the result in the Scopus database