### Abstract

This paper presents new results on an innovative approach for solving satisfiability problems (SAT), that is, creating a logic circuit that is specialized to solve each problem instance on Field Programmable Gate Arrays (FPGAs). This approach has become feasible due to recent advances in Reconfigurable Computing, and has opened up an exciting new research field in algorithm design. We have developed an algorithm that is suitable for a logic circuit implementation. This algorithm is basically equivalent to the Davis-Putnam procedure with Experimental Unit Propagation. The algorithm requires fewer hardware resources than previous approaches. Simulation results show that this method can solve a hard random 3-SAT problem with 400 variables within 1.6 minutes at a clock rate of 10MHz. Faster speeds can be obtained by increasing the clock rate. Furthermore, we have actually implemented a 128-variable, 256-clause problem instance on FPGAs.

Original language | English |
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Title of host publication | Principles and Practice of Constraint Programming – CP 1999 - 5th International Conference, CP 1999, Proceedings |

Editors | Joxan Jaffar |

Publisher | Springer Verlag |

Pages | 434-445 |

Number of pages | 12 |

ISBN (Print) | 3540666265, 9783540666264 |

DOIs | |

Publication status | Published - Jan 1 1999 |

Event | 5th International Conference on Principles and Practice of Constraint Programming, CP 1999 - Alexandria, United States Duration: Oct 11 1999 → Oct 14 1999 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1713 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 5th International Conference on Principles and Practice of Constraint Programming, CP 1999 |
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Country | United States |

City | Alexandria |

Period | 10/11/99 → 10/14/99 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Principles and Practice of Constraint Programming – CP 1999 - 5th International Conference, CP 1999, Proceedings*(pp. 434-445). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1713). Springer Verlag. https://doi.org/10.1007/978-3-540-48085-3_31

**Solving satisfiability problems on FPGAs using experimental unit propagation.** / Suyama, Takayuki; Yokoo, Makoto; Nagoya, Akira.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Principles and Practice of Constraint Programming – CP 1999 - 5th International Conference, CP 1999, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1713, Springer Verlag, pp. 434-445, 5th International Conference on Principles and Practice of Constraint Programming, CP 1999, Alexandria, United States, 10/11/99. https://doi.org/10.1007/978-3-540-48085-3_31

}

TY - GEN

T1 - Solving satisfiability problems on FPGAs using experimental unit propagation

AU - Suyama, Takayuki

AU - Yokoo, Makoto

AU - Nagoya, Akira

PY - 1999/1/1

Y1 - 1999/1/1

N2 - This paper presents new results on an innovative approach for solving satisfiability problems (SAT), that is, creating a logic circuit that is specialized to solve each problem instance on Field Programmable Gate Arrays (FPGAs). This approach has become feasible due to recent advances in Reconfigurable Computing, and has opened up an exciting new research field in algorithm design. We have developed an algorithm that is suitable for a logic circuit implementation. This algorithm is basically equivalent to the Davis-Putnam procedure with Experimental Unit Propagation. The algorithm requires fewer hardware resources than previous approaches. Simulation results show that this method can solve a hard random 3-SAT problem with 400 variables within 1.6 minutes at a clock rate of 10MHz. Faster speeds can be obtained by increasing the clock rate. Furthermore, we have actually implemented a 128-variable, 256-clause problem instance on FPGAs.

AB - This paper presents new results on an innovative approach for solving satisfiability problems (SAT), that is, creating a logic circuit that is specialized to solve each problem instance on Field Programmable Gate Arrays (FPGAs). This approach has become feasible due to recent advances in Reconfigurable Computing, and has opened up an exciting new research field in algorithm design. We have developed an algorithm that is suitable for a logic circuit implementation. This algorithm is basically equivalent to the Davis-Putnam procedure with Experimental Unit Propagation. The algorithm requires fewer hardware resources than previous approaches. Simulation results show that this method can solve a hard random 3-SAT problem with 400 variables within 1.6 minutes at a clock rate of 10MHz. Faster speeds can be obtained by increasing the clock rate. Furthermore, we have actually implemented a 128-variable, 256-clause problem instance on FPGAs.

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U2 - 10.1007/978-3-540-48085-3_31

DO - 10.1007/978-3-540-48085-3_31

M3 - Conference contribution

AN - SCOPUS:84957367729

SN - 3540666265

SN - 9783540666264

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 434

EP - 445

BT - Principles and Practice of Constraint Programming – CP 1999 - 5th International Conference, CP 1999, Proceedings

A2 - Jaffar, Joxan

PB - Springer Verlag

ER -