Random k-SAT and the Power of Two Choices

@article{Perkins2015RandomKA,
  title={Random k-SAT and the Power of Two Choices},
  author={Will Perkins},
  journal={Random Struct. Algorithms},
  year={2015},
  volume={47},
  pages={163-173}
}
We study an Achlioptas-process version of the random k-SAT process: a bounded number of k-CNF clauses are drawn uniformly at random at each step, and exactly one added to the growing formula according to a particular rule. We prove the existence of a rule that shifts the satisfiability threshold. This extends a well-studied area of probabilistic combinatorics (Achlioptas processes) to random CSP’s. In particular, while a rule to delay the 2-SAT threshold was known previously, this is the first… CONTINUE READING

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