Brzozowski, Janusz and Davies, Sylvie:
*Quotient complexities of atoms in regular ideal languages.*
Acta cybernetica, (22) 2.
pp. 293-311. (2015)

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## Abstract

A (left) quotient of a language L by a word w is the language w −1L = {x | wx ϵ L}. The quotient complexity of a regular language L is the number of quotients of L; it is equal to the state complexity of L, which is the number of states in a minimal deterministic finite automaton accepting L. An atom of L is an equivalence class of the relation in which two words are equivalent if for each quotient, they either are both in the quotient or both not in it; hence it is a non-empty intersection of complemented and uncomplemented quotients of L. A right (respectively, left and two-sided) ideal is a language L over an alphabet Σ that satisfies L = LΣ* (respectively, L = Σ*L and L = Σ*LΣ*). We compute the maximal number of atoms and the maximal quotient complexities of atoms of right, left and two-sided regular ideals.

Item Type: | Article |
---|---|

Journal or Publication Title: | Acta cybernetica |

Date: | 2015 |

Volume: | 22 |

Number: | 2 |

Page Range: | pp. 293-311 |

ISSN: | 0324-721X |

Language: | angol |

DOI: | https://doi.org/10.14232/actacyb.22.2.2015.4 |

Uncontrolled Keywords: | Reakcióképesség kémiai |

Additional Information: | Bibliogr.: p. 309-311. |

Date Deposited: | 2016. Oct. 17. 10:36 |

Last Modified: | 2018. Jun. 06. 18:38 |

URI: | http://acta.bibl.u-szeged.hu/id/eprint/36234 |

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