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Cut Languages in Rational Bases

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00467765" target="_blank" >RIV/67985807:_____/17:00467765 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-53733-7_23" target="_blank" >http://dx.doi.org/10.1007/978-3-319-53733-7_23</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-53733-7_23" target="_blank" >10.1007/978-3-319-53733-7_23</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Cut Languages in Rational Bases

  • Original language description

    We introduce a so-called cut language which contains the representations of numbers in a rational base that are less than a given threshold. The cut languages can be used to refine the analysis of neural net models between integer and rational weights. We prove a necessary and sufficient condition when a cut language is regular, which is based on the concept of a quasi-periodic power series. For a nonnegative base and digits, we achieve a dichotomy that a cut language is either regular or non-context-free while examples of regular and non-context-free cut languages are presented. We show that any cut language with a rational threshold is context-sensitive.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Language and Automata Theory and Applications

  • ISBN

    978-3-319-53732-0

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    311-322

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Umea

  • Event date

    Mar 6, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000418579700023