English

Solving satisfiability using inclusion-exclusion

Data Structures and Algorithms 2017-12-20 v1 Combinatorics

Abstract

Using Maple, we implement a SAT solver based on the principle of inclusion-exclusion and the Bonferroni inequalities. Using randomly generated input, we investigate the performance of our solver as a function of the number of variables and number of clauses. We also test it against Maple's built-in tautology procedure. Finally, we implement the Lov\'asz local lemma with Maple and discuss its applicability to SAT.

Keywords

Cite

@article{arxiv.1712.06587,
  title  = {Solving satisfiability using inclusion-exclusion},
  author = {Anthony Zaleski},
  journal= {arXiv preprint arXiv:1712.06587},
  year   = {2017}
}

Comments

11 pages, 3 figures, Maple package available on author's site