An Exhaustive DPLL Algorithm for Model Counting

@article{Oztok2018AnED,
  title={An Exhaustive DPLL Algorithm for Model Counting},
  author={Umut Oztok and Adnan Darwiche},
  journal={J. Artif. Intell. Res.},
  year={2018},
  volume={62},
  pages={1-32}
}
State-of-the-art model counters are based on exhaustive DPLL algorithms, and have been successfully used in probabilistic reasoning, one of the key problems in AI. In this article, we present a new exhaustive DPLL algorithm with a formal semantics, a proof of correctness, and a modular design. The modular design is based on the separation of the core model counting algorithm from SAT solving techniques. We also show that the trace of our algorithm belongs to the language of Sentential Decision… 

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