IJCAI 2022poster11 citations

An Exact MaxSAT Algorithm: Further Observations and Further Improvements

Mingyu Xiao

Abstract

In the maximum satisfiability problem (MaxSAT), given a CNF formula with m clauses and n variables, we are asked to find an assignment of the variables to satisfy the maximum number of clauses. Chen and Kanj showed that this problem can be solved in O*(1.3248^m) time (DAM 2004) and the running time bound was improved to O*(1.2989^m) by Xu et al. (IJCAI 2019). In this paper, we further improve the result to O*(1.2886^m). By using some new reduction and branching techniques we can avoid several bottlenecks in previous algorithms and get the improvement on this important problem.

Constraint Satisfaction and Optimization: Satisfiabilty
BibTeX
@inproceedings{ijcai2022p262,
  title     = {An Exact MaxSAT Algorithm: Further Observations and Further Improvements},
  author    = {Xiao, Mingyu},
  booktitle = {Proceedings of the Thirty-First International Joint Conference on
               Artificial Intelligence, {IJCAI-22}},
  publisher = {International Joint Conferences on Artificial Intelligence Organization},
  editor    = {Lud De Raedt},
  pages     = {1887--1893},
  year      = {2022},
  month     = {7},
  note      = {Main Track},
  doi       = {10.24963/ijcai.2022/262},
  url       = {https://doi.org/10.24963/ijcai.2022/262},
}
An Exact MaxSAT Algorithm: Further Observations and Further Improvements · IJCAI 2022