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Hardness of Solving Relational Equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155572" target="_blank" >RIV/61989592:15310/15:33155572 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1109/TFUZZ.2015.2394396" target="_blank" >http://dx.doi.org/10.1109/TFUZZ.2015.2394396</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TFUZZ.2015.2394396" target="_blank" >10.1109/TFUZZ.2015.2394396</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hardness of Solving Relational Equations

  • Original language description

    Minimal solutions play a crucial role in describing all solutions of relational equations. For this reason, the problem of computing minimal solutions has for long been examined. The literature contains several algorithms for computing minimal solutions.Recently, contributions regarding computational complexity of the problem itself appeared. The complexity aspect is clearly of fundamental importance. However, the existing results contain serious flaws. In this paper, we inspect the existing contributions, clarify the flaws, examine the problem of complexity of computing minimal solutions, prove that there is no efficient algorithm computing all minimal solutions, and discuss further ramifications of our observations.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

    IEEE Transactions on Fuzzy Systems

  • ISSN

    1063-6706

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

    2435-2438

  • UT code for WoS article

    000365989300041

  • EID of the result in the Scopus database