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On the weak pigeonhole principle.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05025079" target="_blank" >RIV/67985840:_____/01:05025079 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the weak pigeonhole principle.

  • Original language description

    We investigate the proof complexity, in (existensions of) resolution and in bounded arithmetic, of the weak pigeonhole principle and of Ramsey theorem in particular, we link the proof complexity of these two principles.Further we give lower bounds to thewidth of resolution proofs and to the size of (extensions of) tree-like resolution proofs of Ramsey theorem. We establish a connection between provability of WPHP in fragments of bounded arithmetic and cryptographic assumptions (the existence of one-way....

  • Czech name

  • Czech description

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/IAA1019901" target="_blank" >IAA1019901: Mathematical logic 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

    2001

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fundamenta mathematicae

  • ISSN

    0016-2736

  • e-ISSN

  • Volume of the periodical

    170

  • Issue of the periodical within the volume

    1-3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    18

  • Pages from-to

    123-140

  • UT code for WoS article

  • EID of the result in the Scopus database