### Abstract

It is known that if a Büchi context-free language (BCFL) consists of scattered words, then there is an integer n, depending only on the language, such that the Hausdorff rank of each word in the language is bounded by n. Every BCFL is a Muller context-free language (MCFL). In the first part of the paper, we prove that an MCFL of scattered words is a BCFL iff the rank of every word in the language is bounded by an integer depending only on the language. Then we establish operational characterizations of the BCFLs of well-ordered and scattered or well-ordered words.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 142-153 |

Number of pages | 12 |

Volume | 7410 LNCS |

DOIs | |

Publication status | Published - 2012 |

Event | 16th International Conference on Developments in Language Theory, DLT 2012 - Taipei, Taiwan, Province of China Duration: Aug 14 2012 → Aug 17 2012 |

### 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 | 7410 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 16th International Conference on Developments in Language Theory, DLT 2012 |
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Country | Taiwan, Province of China |

City | Taipei |

Period | 8/14/12 → 8/17/12 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 7410 LNCS, pp. 142-153). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7410 LNCS). https://doi.org/10.1007/978-3-642-31653-1_14

**On context-free languages of scattered words.** / Ésik, Z.; Okawa, Satoshi.

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

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*vol. 7410 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7410 LNCS, pp. 142-153, 16th International Conference on Developments in Language Theory, DLT 2012, Taipei, Taiwan, Province of China, 8/14/12. https://doi.org/10.1007/978-3-642-31653-1_14

}

TY - GEN

T1 - On context-free languages of scattered words

AU - Ésik, Z.

AU - Okawa, Satoshi

PY - 2012

Y1 - 2012

N2 - It is known that if a Büchi context-free language (BCFL) consists of scattered words, then there is an integer n, depending only on the language, such that the Hausdorff rank of each word in the language is bounded by n. Every BCFL is a Muller context-free language (MCFL). In the first part of the paper, we prove that an MCFL of scattered words is a BCFL iff the rank of every word in the language is bounded by an integer depending only on the language. Then we establish operational characterizations of the BCFLs of well-ordered and scattered or well-ordered words.

AB - It is known that if a Büchi context-free language (BCFL) consists of scattered words, then there is an integer n, depending only on the language, such that the Hausdorff rank of each word in the language is bounded by n. Every BCFL is a Muller context-free language (MCFL). In the first part of the paper, we prove that an MCFL of scattered words is a BCFL iff the rank of every word in the language is bounded by an integer depending only on the language. Then we establish operational characterizations of the BCFLs of well-ordered and scattered or well-ordered words.

UR - http://www.scopus.com/inward/record.url?scp=84864987810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864987810&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-31653-1_14

DO - 10.1007/978-3-642-31653-1_14

M3 - Conference contribution

AN - SCOPUS:84864987810

SN - 9783642316524

VL - 7410 LNCS

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

SP - 142

EP - 153

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

ER -