### 抄録

There is a close relationship between formal language theory and data compression. Since 1990's various types of grammar-based text compression algorithms have been introduced. Given an input string, a grammar-based text compression algorithm constructs a context-free grammar that only generates the string. An interesting and challenging problem is pattern matching on context-free grammars P of size m and T of size n, which are the descriptions of pattern string P of length M and text string T of length N, respectively. The goal is to solve the problem in time proportional only to m and n, not to M nor N. Kieffer et al. introduced a very practical grammar-based compression method called multilevel pattern matching code (MPM code). In this paper, we propose an efficient pattern matching algorithm which, given two MPM grammars P and T, performs in O(mn ^{2}) time with O(mn) space. Our algorithm outperforms the previous best one by Miyazaki et al. which requires O(m ^{2}n ^{2}) time and O(mn) space.

元の言語 | 英語 |
---|---|

ページ（範囲） | 225-236 |

ページ数 | 12 |

ジャーナル | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

巻 | 3340 |

出版物ステータス | 出版済み - 2004 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### これを引用

**An efficient pattern matching algorithm on a subclass of context free grammars.** / Inenaga, Shunsuke; Shinohara, Ayumi; Takeda, Masayuki.

研究成果: ジャーナルへの寄稿 › 記事

}

TY - JOUR

T1 - An efficient pattern matching algorithm on a subclass of context free grammars

AU - Inenaga, Shunsuke

AU - Shinohara, Ayumi

AU - Takeda, Masayuki

PY - 2004

Y1 - 2004

N2 - There is a close relationship between formal language theory and data compression. Since 1990's various types of grammar-based text compression algorithms have been introduced. Given an input string, a grammar-based text compression algorithm constructs a context-free grammar that only generates the string. An interesting and challenging problem is pattern matching on context-free grammars P of size m and T of size n, which are the descriptions of pattern string P of length M and text string T of length N, respectively. The goal is to solve the problem in time proportional only to m and n, not to M nor N. Kieffer et al. introduced a very practical grammar-based compression method called multilevel pattern matching code (MPM code). In this paper, we propose an efficient pattern matching algorithm which, given two MPM grammars P and T, performs in O(mn 2) time with O(mn) space. Our algorithm outperforms the previous best one by Miyazaki et al. which requires O(m 2n 2) time and O(mn) space.

AB - There is a close relationship between formal language theory and data compression. Since 1990's various types of grammar-based text compression algorithms have been introduced. Given an input string, a grammar-based text compression algorithm constructs a context-free grammar that only generates the string. An interesting and challenging problem is pattern matching on context-free grammars P of size m and T of size n, which are the descriptions of pattern string P of length M and text string T of length N, respectively. The goal is to solve the problem in time proportional only to m and n, not to M nor N. Kieffer et al. introduced a very practical grammar-based compression method called multilevel pattern matching code (MPM code). In this paper, we propose an efficient pattern matching algorithm which, given two MPM grammars P and T, performs in O(mn 2) time with O(mn) space. Our algorithm outperforms the previous best one by Miyazaki et al. which requires O(m 2n 2) time and O(mn) space.

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M3 - Article

VL - 3340

SP - 225

EP - 236

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

SN - 0302-9743

ER -