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Fragments of bounded arithmetic and the lengths of proofs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00321815" target="_blank" >RIV/67985840:_____/08:00321815 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fragments of bounded arithmetic and the lengths of proofs

  • Original language description

    We consider the problem whether the Sigma-1-b theorems of the fragments T-2-n from a strictly increasing hierarchy. We shall show a link to some results about the lengths of proofs in predicate logic that supports the conjecture that the hierarchy is strictly increasing.

  • Czech name

    Fragmenty omezené aritmetiky a délky důkazů

  • Czech description

    Uvažujeme problém, zda Signa-1-b věty teorií T-2-n tvoří ostře rostoucí hierarchii. Ukážeme souvislost s výsledky o délkách důkazů v predikálové logice, které podporují domněnku, že hierarchie je ostře rostoucí.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1019401" target="_blank" >IAA1019401: Theories, proofs and computational complexity</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Symbolic Logic

  • ISSN

    0022-4812

  • e-ISSN

  • Volume of the periodical

    73

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

    000261474500020

  • EID of the result in the Scopus database