### Abstract

Given two sets of strings, consider the problem to find a subsequence that is common to one set but never appears in the other set. The problem is known to be NP-complete. We generalize the problem to an optimization problem, and give a practical algorithm to solve it exactly. Our algorithm uses pruning heuristic and subsequence automata, and can find the best subsequence. We show some experiments, that convinced us the approach is quite promising.

Original language | English |
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Title of host publication | Discovery Science - 3rd International Conference, DS 2000, Proceedings |

Editors | Setsuo Arikawa, Shinichi Morishita |

Publisher | Springer Verlag |

Pages | 141-153 |

Number of pages | 13 |

ISBN (Print) | 9783540413523 |

DOIs | |

Publication status | Published - 2000 |

Event | 3rd International Conference on Discovery Science, DS 2000 - Kyoto, Japan Duration: Dec 4 2000 → Dec 6 2000 |

### 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 | 1967 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 3rd International Conference on Discovery Science, DS 2000 |
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Country | Japan |

City | Kyoto |

Period | 12/4/00 → 12/6/00 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Hirao, M., Hoshino, H., Shinohara, A., Takeda, M., & Arikawa, S. (2000). A practical algorithm to find the best subsequence patterns. In S. Arikawa, & S. Morishita (Eds.),

*Discovery Science - 3rd International Conference, DS 2000, Proceedings*(pp. 141-153). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1967). Springer Verlag. https://doi.org/10.1007/3-540-44418-1_12