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Elementary analytic functions in VTC^0

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00570761" target="_blank" >RIV/67985840:_____/23:00570761 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1016/j.apal.2023.103269" target="_blank" >https://doi.org/10.1016/j.apal.2023.103269</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.apal.2023.103269" target="_blank" >10.1016/j.apal.2023.103269</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Elementary analytic functions in VTC^0

  • Original language description

    It is known that rational approximations of elementary analytic functions (exp, log, trigonometric, and hyperbolic functions, and their inverse functions) are computable in the weak complexity class TC^0. We show how to formalize the construction and basic properties of these functions in the corresponding theory of bounded arithmetic, VTC^0.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA23-04825S" target="_blank" >GA23-04825S: Logic and unsatisfiability</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Annals of Pure and Applied Logic

  • ISSN

    0168-0072

  • e-ISSN

    1873-2461

  • Volume of the periodical

    174

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    50

  • Pages from-to

    103269

  • UT code for WoS article

    000967938500001

  • EID of the result in the Scopus database

    2-s2.0-85151450748