In this paper, we aim at proposing a new approach for defining tractable classes for Exactly-One-SAT problem (in short EO-SAT). EO-SAT is the problem of deciding whether a given CNF formula has a model so that each clause has exactly one true literal. Our first tractable class is defined by using a simple property that has to be satisfied by every three clauses sharing at least one literal. In a similar way, our second tractable class is obtained from a property that has to be satisfied by particular sequences of clauses. The proposed tractable classes can, in a sense, be seen as natural counterparts of tractable classes of the maximum independent set problem.
CITATION STYLE
Boumarafi, Y., & Salhi, Y. (2018). Tractable classes in exactly-one-SAT. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11089 LNAI, pp. 197–206). Springer Verlag. https://doi.org/10.1007/978-3-319-99344-7_18
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