New Boolean satisfiability problem heuristic strategy: Minimal Positive Negative Product Strategy

Qun Zhao, Xintao Wang, Menghui Yang
10/26/2023
cs.AI

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Abstract

This study presents a novel heuristic algorithm called the "Minimal Positive Negative Product Strategy" to guide the CDCL algorithm in solving the Boolean satisfiability problem. It provides a mathematical explanation for the superiority of this algorithm over widely used heuristics such as the Dynamic Largest Individual Sum (DLIS) and the Variable State Independent Decaying Sum (VSIDS). Experimental results further confirm the effectiveness of this heuristic strategy in problem-solving.

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@article{zhao2023boolean,
  title  = {New Boolean satisfiability problem heuristic strategy: Minimal Positive Negative Product Strategy},
  author = {Qun Zhao and Xintao Wang and Menghui Yang},
  year   = {2023},
  eprint = {2310.18370},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2310.18370v1}
}

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