Declarative encodings of acyclicity properties

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Many knowledge representation tasks involve trees or similar structures as abstract datatypes. However, devising compact and efficient declarative representations of such structural properties is non-obvious and can be challenging indeed. In this article, we take a number of acyclicity properties into consideration and investigate various logic-based approaches to encode them. We use answer set programming as the primary representation language but also consider mappings to related formalisms, such as propositional logic, difference logic and linear programming. We study the compactness of encodings and the resulting computational performance on benchmarks involving acyclic or tree structures.


Original languageEnglish
Number of pages30
JournalJournal of Logic and Computation
Early online date10 Sep 2015
Publication statusPublished - 2015
MoE publication typeA1 Journal article-refereed

    Research areas

  • acyclicity properties, logic-based modeling, answer set programming, satisfiability

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