Set-theoretic duality: A fundamental feature of combinatorial optimisation

John Slaney*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    14 Citations (Scopus)

    Abstract

    The duality between conflicts and diagnoses in the field of diagnosis, or between plans and landmarks in the field of planning, or between unsatisfiable cores and minimal co-satisfiable sets in SAT or CSP solving, has been known for many years. Recent work in these communities (Davies and Bacchus, CP 2011, Bonet and Helmert, ECAI 2010, Haslum et al., ICAPS 2012, Stern et al., AAAI 2012) has brought it to the fore as a topic of current interest. The present paper lays out the set-theoretic basis of the concept, and introduces a generic implementation of an algorithm based on it. This algorithm provides a method for converting decision procedures into optimisation ones across a wide range of applications without the need to rewrite the decision procedure implementations. Initial experimental validation shows good performance on a number of benchmark problems from AI planning.

    Original languageEnglish
    Title of host publicationECAI 2014 - 21st European Conference on Artificial Intelligence, Including Prestigious Applications of Intelligent Systems, PAIS 2014, Proceedings
    EditorsTorsten Schaub, Gerhard Friedrich, Barry O'Sullivan
    PublisherIOS Press BV
    Pages843-848
    Number of pages6
    ISBN (Electronic)9781614994183
    DOIs
    Publication statusPublished - 2014
    Event21st European Conference on Artificial Intelligence, ECAI 2014 - Prague, Czech Republic
    Duration: 18 Aug 201422 Aug 2014

    Publication series

    NameFrontiers in Artificial Intelligence and Applications
    Volume263
    ISSN (Print)0922-6389
    ISSN (Electronic)1879-8314

    Conference

    Conference21st European Conference on Artificial Intelligence, ECAI 2014
    Country/TerritoryCzech Republic
    CityPrague
    Period18/08/1422/08/14

    Fingerprint

    Dive into the research topics of 'Set-theoretic duality: A fundamental feature of combinatorial optimisation'. Together they form a unique fingerprint.

    Cite this