### Abstract

We present an algorithm permitting to search in a text for the patterns of a regular set. Unlike many classical algorithms, we shall assume that the input of the algorithm is a deterministic automaton and not a regular expression. Our algorithm is based on the notion of failure function and mainly consists in efficiently constructing a new deterministic automaton. This construction is shown to be more efficient both in time and space than naive algorithms such as the powerset algorithm used for determinization. In particular, its space complexity is linear in the size of the obtained automaton.

Original language | English (US) |
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Title of host publication | Combinatorial Pattern Matching - 6th Annual Symposium, CPM 1995, Proceedings |

Editors | Zvi Galil, Esko Ukkonen |

Publisher | Springer Verlag |

Pages | 286-297 |

Number of pages | 12 |

ISBN (Print) | 3540600442, 9783540600442 |

DOIs | |

State | Published - 1995 |

Event | 6th Annual Symposium on Combinatorial Pattern Matching, CPM 1995 - Espoo, Finland Duration: Jul 5 1995 → Jul 7 1995 |

### 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 | 937 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 6th Annual Symposium on Combinatorial Pattern Matching, CPM 1995 |
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Country | Finland |

City | Espoo |

Period | 7/5/95 → 7/7/95 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Mohri, M. (1995). Matching patterns of an automaton. In Z. Galil, & E. Ukkonen (Eds.),

*Combinatorial Pattern Matching - 6th Annual Symposium, CPM 1995, Proceedings*(pp. 286-297). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 937). Springer Verlag. https://doi.org/10.1007/3-540-60044-2_49