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Smooth Approximations and Relational Width Collapses

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10437369" target="_blank" >RIV/00216208:11320/21:10437369 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.4230/LIPIcs.ICALP.2021.138" target="_blank" >https://doi.org/10.4230/LIPIcs.ICALP.2021.138</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4230/LIPIcs.ICALP.2021.138" target="_blank" >10.4230/LIPIcs.ICALP.2021.138</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Smooth Approximations and Relational Width Collapses

  • Original language description

    We prove that relational structures admitting specific polymorphisms (namely, canonical pseudoWNU operations of all arities n &gt;= 3) have low relational width. This implies a collapse of the bounded width hierarchy for numerous classes of infinite-domain CSPs studied in the literature. Moreover, we obtain a characterization of bounded width for first-order reducts of unary structures and a characterization of MMSNP sentences that are equivalent to a Datalog program, answering a question posed by Bienvenu et al.. In particular, the bounded width hierarchy collapses in those cases as well.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-20123S" target="_blank" >GA18-20123S: Expanding the Scope of Universal Algebra</a><br>

  • Continuities

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

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Leibniz International Proceedings in Informatics, LIPIcs

  • ISBN

    978-3-95977-195-5

  • ISSN

    1868-8969

  • e-ISSN

  • Number of pages

    20

  • Pages from-to

    1-20

  • Publisher name

    Schloss Dagstuhl

  • Place of publication

    Německo

  • Event location

    Skotsko

  • Event date

    Jul 12, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article