Expressiveness of the Interval Logics of Allen's Relations on the Class of all Linear Orders: Complete Classification

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2011

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We compare the expressiveness of the fragments of Halpern and Shoham’s interval logic (HS), i.e., of all interval logics with modal operators associated with Allen’s relations between intervals in linear orders. We establish a complete set of interdefinability equations between these modal operators, and thus obtain a complete classification of the family of 212 fragments of HS with respect to their expressiveness. Using that result and a computer program, we have found that there are 1347 expressively different such interval logics over the class of all linear orders.
Original languageEnglish
Title of host publicationProceedings of the Twenty-Second International Joint Conference on Artificial Intelligence
Publication date2011
StatePublished - 2011
EventInternational Joint Conference on Artificial Intelligence - Barcelona, Spain


ConferenceInternational Joint Conference on Artificial Intelligence
CityBarcelona, Spain
Period01/01/2011 → …
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ID: 6302062