### Abstract

The class of very simple grammars is known to be polynomialtime identifiable in the limit from positive data. This paper introduces an extension of very simple grammars called right-unique simple grammars, and presents an algorithm that identifies right-unique simple grammars in the limit from positive data. The learning algorithm possesses the following three properties. It computes a conjecture in polynomial time in the size of the input data if we regard the cardinality of the alphabet as a constant. It always outputs a grammar which is consistent with the input data. It never changes the conjecture unless the newly provided example contradicts the previous conjecture. The algorithm has a sub-algorithm that solves the inclusion problem for a superclass of right-unique simple grammars, which is also presented in this paper.

Original language | English |
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Title of host publication | Grammatical Inference |

Subtitle of host publication | Algorithms and Applications - 8th International Colloquium, ICGI 2006, Proceedings |

Publisher | Springer Verlag |

Pages | 45-58 |

Number of pages | 14 |

ISBN (Print) | 3540452648, 9783540452645 |

DOIs | |

Publication status | Published - 2006 |

Event | 8th International Colloquium on Grammatical Inference, ICGI 2006 - Tokyo, Japan Duration: 2006 Sep 20 → 2006 Sep 22 |

### 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 | 4201 LNAI |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 8th International Colloquium on Grammatical Inference, ICGI 2006 |
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Country | Japan |

City | Tokyo |

Period | 06/9/20 → 06/9/22 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Grammatical Inference: Algorithms and Applications - 8th International Colloquium, ICGI 2006, Proceedings*(pp. 45-58). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4201 LNAI). Springer Verlag. https://doi.org/10.1007/11872436_5