Heavy-Tailed Phenomena in Satisfiability and Constraint Satisfaction Problems

@article{Gomes2000HeavyTailedPI,
  title={Heavy-Tailed Phenomena in Satisfiability and Constraint Satisfaction Problems},
  author={Carla P. Gomes and Bart Selman and Nuno Crato and Henry A. Kautz},
  journal={Journal of Automated Reasoning},
  year={2000},
  volume={24},
  pages={67-100}
}
We study the runtime distributions of backtrack procedures for propositional satisfiability and constraint satisfaction. Such procedures often exhibit a large variability in performance. Our study reveals some intriguing properties of such distributions: They are often characterized by very long tails or “heavy tails”. We will show that these distributions are best characterized by a general class of distributions that can have infinite moments (i.e., an infinite mean, variance, etc.). Such… CONTINUE READING
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