### Abstract

We approximate certain languages, obtained as shuffle products of Dyck languages, by regular languages. These regular approximants are obtained by restricting the automaton accepting the original language to a finite maximum amount of storage, N. We study the dominant singularities of the multivariate generating functions of the approximants. By using formal asymptotic methods drawn from applied probability to work out the N → ∞ asymptotics of these singularities, we quantify the rate at which the approximants approach the original languages.

Original language | English (US) |
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Title of host publication | Fundamentals of Computation Theory - 9th International Conference, FCT 1993, Proceedings |

Publisher | Springer Verlag |

Pages | 352-362 |

Number of pages | 11 |

Volume | 710 LNCS |

ISBN (Print) | 9783540571636 |

State | Published - Jan 1 1993 |

Event | 9th International Conference on Fundamentals of Computation Theory, FCT 1993 - Szeged, Hungary Duration: Aug 23 1993 → Aug 27 1993 |

### 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 | 710 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 9th International Conference on Fundamentals of Computation Theory, FCT 1993 |
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Country | Hungary |

City | Szeged |

Period | 8/23/93 → 8/27/93 |

### Fingerprint

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Fundamentals of Computation Theory - 9th International Conference, FCT 1993, Proceedings*(Vol. 710 LNCS, pp. 352-362). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 710 LNCS). Springer Verlag.

**Regular approximations to shuffle products of context-free languages, and convergence of their generating functions.** / Maier, Robert S; Schott, René.

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

*Fundamentals of Computation Theory - 9th International Conference, FCT 1993, Proceedings.*vol. 710 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 710 LNCS, Springer Verlag, pp. 352-362, 9th International Conference on Fundamentals of Computation Theory, FCT 1993, Szeged, Hungary, 8/23/93.

}

TY - GEN

T1 - Regular approximations to shuffle products of context-free languages, and convergence of their generating functions

AU - Maier, Robert S

AU - Schott, René

PY - 1993/1/1

Y1 - 1993/1/1

N2 - We approximate certain languages, obtained as shuffle products of Dyck languages, by regular languages. These regular approximants are obtained by restricting the automaton accepting the original language to a finite maximum amount of storage, N. We study the dominant singularities of the multivariate generating functions of the approximants. By using formal asymptotic methods drawn from applied probability to work out the N → ∞ asymptotics of these singularities, we quantify the rate at which the approximants approach the original languages.

AB - We approximate certain languages, obtained as shuffle products of Dyck languages, by regular languages. These regular approximants are obtained by restricting the automaton accepting the original language to a finite maximum amount of storage, N. We study the dominant singularities of the multivariate generating functions of the approximants. By using formal asymptotic methods drawn from applied probability to work out the N → ∞ asymptotics of these singularities, we quantify the rate at which the approximants approach the original languages.

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UR - http://www.scopus.com/inward/citedby.url?scp=85029471295&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85029471295

SN - 9783540571636

VL - 710 LNCS

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

SP - 352

EP - 362

BT - Fundamentals of Computation Theory - 9th International Conference, FCT 1993, Proceedings

PB - Springer Verlag

ER -