## Abstract

The learnability of multiplicity automata is studied. Multiplicity automata is a theorem from automata theory relating to the number of states in a minimal multiplicity automation for a function f to the rank of a certain matrix F. This theorem was used to formulate a simple algorithm for learning multiplicity automata with a better query complexity. The theorem was also used to prove the learnability of some classes that were not known to be learnable before. While multiplicity automata were shown to be useful to prove the learnability of some subclasses of DNF formulae and various other classes, it also has some limitations. This method was shown to be unapplicable to resolve the learnability of some other open problems.

Original language | English GB |
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Title of host publication | Annual Symposium on Foundations of Computer Science - Proceedings |

Pages | 349-358 |

Number of pages | 10 |

State | Published - 1 Dec 1996 |

Externally published | Yes |

Event | Proceedings of the 1996 37th Annual Symposium on Foundations of Computer Science - Burlington, VT, USA Duration: 14 Oct 1996 → 16 Oct 1996 |

### Conference

Conference | Proceedings of the 1996 37th Annual Symposium on Foundations of Computer Science |
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City | Burlington, VT, USA |

Period | 14/10/96 → 16/10/96 |

## ASJC Scopus subject areas

- Hardware and Architecture