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On Hierarchies over the Class of SLUR Formulae

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10103736" target="_blank" >RIV/00216208:11320/11:10103736 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Hierarchies over the Class of SLUR Formulae

  • Original language description

    Single look-ahead unit resolution (SLUR) algorithm is a nondeterministic polynomial time algorithm which for a given input formula in a conjunctive normal form (CNF) either outputs its satisfying assignment or gives up. A CNF formula belongs to the SLURclass if no sequence of nondeterministic choices causes the SLUR algorithm to give up on it. The SLUR class is reasonably large. It is known to properly contain the well studied classes of Horn CNFs, renamable Horn CNFs, extended Horn CNFs, and CC-balanced CNFs. Recently, it was shown, that a canonical representation of a Boolean function always belongs to the SLUR class. In this paper we extend this result by showing, that this remains true even for some representations, which are not far from the canonical one. We also generalize the hierarchy of classes of Boolean formulae which was built on top of the CLUR class in previous paper.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty

  • ISBN

    978-80-7378-179-8

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    1-8

  • Publisher name

    Matfyzpress

  • Place of publication

    Praha

  • Event location

    Hejnice, Czech Republic

  • Event date

    Sep 18, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article