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LOGICAL STRENGTH OF COMPLEXITY THEORY AND A FORMALIZATION OF THE PCP THEOREM IN BOUNDED ARITHMETIC

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317967" target="_blank" >RIV/00216208:11320/15:10317967 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    LOGICAL STRENGTH OF COMPLEXITY THEORY AND A FORMALIZATION OF THE PCP THEOREM IN BOUNDED ARITHMETIC

  • Original language description

    We present several known formalizations of theorems from computational complexity in bounded arithmetic and formalize the PCP theorem in the theory PV1 (no formalization of this theorem was known). This includes a formalization of the existence and of some properties of the (n, d, lambda)-graphs in PV1.

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Logical Methods in Computer Science

  • ISSN

    1860-5974

  • e-ISSN

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    6

  • Pages from-to

  • UT code for WoS article

    000359470700005

  • EID of the result in the Scopus database

    2-s2.0-84938322119