### Abstract

We study the edit-distance between two visibly pushdown languages. It is well-known that the edit-distance between two context-free languages is undecidable. The class of visibly pushdown languages is a robust subclass of context-free languages since it is closed under intersection and complementation whereas context-free languages are not. We show that the edit-distance problem is decidable for visibly pushdown languages and present an algorithm for computing the edit-distance based on the construction of an alignment PDA. Moreover, we show that the edit-distance can be computed in polynomial time if we assume that the edit-distance is bounded by a fixed integer k.

Original language | English |
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Title of host publication | SOFSEM 2017 |

Subtitle of host publication | Theory and Practice of Computer Science - 43rd International Conference on Current Trends in Theory and Practice of Computer Science, Proceedings |

Editors | Christel Baier, Mark van den Brand, Johann Eder, Mike Hinchey, Tiziana Margaria, Bernhard Steffen |

Publisher | Springer Verlag |

Pages | 387-401 |

Number of pages | 15 |

ISBN (Print) | 9783319519623 |

DOIs | |

Publication status | Published - 2017 |

Event | 43rd Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2017 - Limerick, Ireland Duration: 2017 Jan 16 → 2017 Jan 20 |

### 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 | 10139 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 43rd Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2017 |
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Country | Ireland |

City | Limerick |

Period | 17/1/16 → 17/1/20 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*SOFSEM 2017: Theory and Practice of Computer Science - 43rd International Conference on Current Trends in Theory and Practice of Computer Science, Proceedings*(pp. 387-401). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10139 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-51963-0_30