Sampler programs: The stable model semantics of abstract constraint programs revisited

Tomi Janhunen*

*Corresponding author for this work

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

    1 Citation (Scopus)

    Abstract

    constraint atoms provide a general framework for the study of aggregates utilized in answer set programming. Such primitives suitably increase the expressive power of rules and enable more concise representation of various domains as answer set programs. However, it is non-trivial to generalize the stable model semantics for programs involving arbitrary abstract constraint atoms. For instance, a nondeterministic variant of the immediate consequence operator is needed, or the definition of stable models cannot be stated directly using primitives of logic programs. In this paper, we propose sampler programs as a relaxation of abstract constraint programs that better lend themselves to the program transformation involved in the definition of stable models. Consequently, the declarative nature of stable models can be restored for sampler programs and abstract constraint programs are also covered if decomposed into sampler programs. Moreover, we study the relationships of the classes of programs involved and provide a characterization in terms of abstract but essentially deterministic computations. This result indicates that all non determinism related with abstract constraint atoms can be resolved at the level of program reduct when sampler programs are used as the intermediate representation.

    Original languageEnglish
    Title of host publicationTechnical Communications of the 26th International Conference on Logic Programming, ICLP 2010
    Pages94-103
    Number of pages10
    Volume7
    DOIs
    Publication statusPublished - 2010
    MoE publication typeA4 Article in a conference publication
    EventInternational Conference on Logic Programming - Edinburgh, United Kingdom
    Duration: 16 Jul 201019 Jul 2010
    Conference number: 26

    Conference

    ConferenceInternational Conference on Logic Programming
    Abbreviated titleICLP
    CountryUnited Kingdom
    CityEdinburgh
    Period16/07/201019/07/2010

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