### Abstract

This paper introduces the class of concatenations of locally testable languages and its subclasses, and presents some results on the learnability of the classes from positive data. We first establish several relationships among the language classes introduced, and give a sufficient condition for a concatenation operation to preserve finite elasticity of a language class C. Then we show that, for each k, the class CLT^{≤k}, a subclass of concatenations of locally testable languages, is identifiable in the limit from positive data. Further, we introduce a notion of local parsability, and define a class (k, l)-CLTS, which is a subclass of the class of concatenations of strictly locally testable languages. Then, for each k, l ≥ 1, (k, l)-CLTS is proved to be identifiable in the limit from positive data using reversible automata with the conjectures updated in polynomial time. Some possible applications of this result are also briefly discussed.

Original language | English |
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Title of host publication | Algorithmic Learning Theory - 4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994, Proceedings |

Editors | Setsuo Arikawa, Klaus P. Jantke |

Publisher | Springer Verlag |

Pages | 407-422 |

Number of pages | 16 |

ISBN (Print) | 9783540585206 |

DOIs | |

Publication status | Published - 1994 |

Event | 4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994 - Reinhardsbrunn Castle, Germany Duration: 1994 Oct 10 → 1994 Oct 15 |

### 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 | 872 LNAI |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994 |
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Country | Germany |

City | Reinhardsbrunn Castle |

Period | 94/10/10 → 94/10/15 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Algorithmic Learning Theory - 4th International Workshop on Analogical and Inductive Inference, AII 1994 and 5th International Workshop on Algorithmic Learning Theory, ALT 1994, Proceedings*(pp. 407-422). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 872 LNAI). Springer Verlag. https://doi.org/10.1007/3-540-58520-6_80