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Efficient solution of a class of quantified constraints with quantifier prefix exists-forall

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10282496" target="_blank" >RIV/00216208:11320/14:10282496 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s11786-014-0195-8" target="_blank" >http://dx.doi.org/10.1007/s11786-014-0195-8</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11786-014-0195-8" target="_blank" >10.1007/s11786-014-0195-8</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Efficient solution of a class of quantified constraints with quantifier prefix exists-forall

  • Original language description

    In various applications the search for certificates for certain properties (e.g., stability of dynamical systems, program termination) can be formulated as a quantified constraint solving problem with quantifier prefix exists-forall. In this paper, we present an algorithm for solving a certain class of such problems based on interval techniques in combination with conservative linear programming approximation. In comparison with previous work, the method is more general-allowing general Boolean structure in the input constraint, and more efficient-using splitting heuristics that learn from the success of previous linear programming approximations.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-10660S" target="_blank" >GA13-10660S: Interval methods for optimization problems</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics in Computer Science

  • ISSN

    1661-8270

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    12

  • Pages from-to

    329-340

  • UT code for WoS article

  • EID of the result in the Scopus database