English

Effective problem solving using SAT solvers

Artificial Intelligence 2020-03-17 v2 Logic in Computer Science Symbolic Computation

Abstract

In this article we demonstrate how to solve a variety of problems and puzzles using the built-in SAT solver of the computer algebra system Maple. Once the problems have been encoded into Boolean logic, solutions can be found (or shown to not exist) automatically, without the need to implement any search algorithm. In particular, we describe how to solve the nn-queens problem, how to generate and solve Sudoku puzzles, how to solve logic puzzles like the Einstein riddle, how to solve the 15-puzzle, how to solve the maximum clique problem, and finding Graeco-Latin squares.

Keywords

Cite

@article{arxiv.1906.06251,
  title  = {Effective problem solving using SAT solvers},
  author = {Curtis Bright and Jürgen Gerhard and Ilias Kotsireas and Vijay Ganesh},
  journal= {arXiv preprint arXiv:1906.06251},
  year   = {2020}
}

Comments

To appear in Proceedings of the Maple Conference 2019