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  • SAT modulo graphs: Acyclicity

    Author(s)
    Gebser, Martin
    Janhunen, Tomi
    Rintanen, Jussi
    Griffith University Author(s)
    Rintanen, Jussi
    Year published
    2014
    Metadata
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    Abstract
    Acyclicity is a recurring property of solutions to many important combinatorial problems. In this work we study embeddings of specialized acyclicity constraints in the satisfiability problem of the classical propositional logic (SAT). We propose an embedding of directed graphs in SAT, with arcs labelled with propositional variables, and an extended SAT problem in which all clauses have to be satisfied and the subgraph consisting of arcs labelled true is acyclic. We devise a constraint propagator for the acyclicity constraint and show how it can be incorporated in off-the-shelf SAT solvers. We show that all existing encodings ...
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    Acyclicity is a recurring property of solutions to many important combinatorial problems. In this work we study embeddings of specialized acyclicity constraints in the satisfiability problem of the classical propositional logic (SAT). We propose an embedding of directed graphs in SAT, with arcs labelled with propositional variables, and an extended SAT problem in which all clauses have to be satisfied and the subgraph consisting of arcs labelled true is acyclic. We devise a constraint propagator for the acyclicity constraint and show how it can be incorporated in off-the-shelf SAT solvers. We show that all existing encodings of acyclicity constraints in SAT are either prohibitively large or do not sanction all inferences made by the constraint propagator. Our experiments demonstrate the advantages of our solver over other approaches for handling acyclicity.
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    Conference Title
    14th European Conference, JELIA 2014 Proceedings
    Publisher URI
    http://www4.uma.pt/jelia2014/
    DOI
    https://doi.org/10.1007/978-3-319-11558-0_10
    Subject
    Artificial Intelligence and Image Processing not elsewhere classified
    Publication URI
    http://hdl.handle.net/10072/67989
    Collection
    • Conference outputs

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